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Advanced Math/Questions Answered by Expert Steve Holleran
| Subject | Date Asked |
| Infinite geometric series | 5/22/2009 |
| Q: I have a math test tomorrow and there is a question on my review sheet that I just can't figure ... A: Okay, an infinite geometric series will have a sum if the ratio (r) between successive terms is ... | |
| Percentages & Interest | 12/17/2008 |
| Q: Here is myAn investor has $30,000 to invest at simple interest, one portion at 2% and the other at ... A: It's really not that hard to do it algebraically: Let x = amount at 5%, then (30,000 - x) = amt ... | |
| Integration | 11/2/2008 |
| Q: Find the maximum and minimum values of 4sinx + 9/(1+ sinx) for 0<= x<= pi. I wasnt sure if you ... A: for the first one, I don't think you want to integrate at all. You should apply the Closed ... | |
| Partial fraction | 10/2/2008 |
| Q: Express the following in partial fraction: (x^2-x)/((x^2+3)(x^2+2)) i have tried it many times ... A: I think it goes like this: (x^2-x)/(x^2+3)(x^2+2) =(Ax + B)/(x^2 + 3)+(Cx + D)/(x^2+2) ... | |
| Demand Equation | 9/30/2008 |
| Q: Suppose that a market reseach company finds that at a price of p=$20, they would sell x=$42 tiles ... A: From the information you've given, you have two points of information, in the form (x, p): ... | |
| Original Percent in Mixture | 9/29/2008 |
| Q: 1/25 of a uniform seed mixture is replaced with clover seed, and the result is a mixture of 10% ... A: The only way I can see to do this one is to have the following: .96(orig) + .4(clover) ... | |
| precalculus | 9/29/2008 |
| Q: simplify in the form of factoring cos x - 2sin^2x + 1 A: I'm thinking that you want to reduce this to all cosines, so I would replace the sin^2 x with (1 - ... | |
| trigonometry | 9/27/2008 |
| Q: Q:Find the area swept out by the pendulum of length 24.70 cm that swings through an angle of 12.75 ... A: Well the area of a circular sector is A = 1/2 * r^2 * @ where r = radius, ... | |
| Algebra | 9/27/2008 |
| Q: If Profit = Revenue - Cost, what is the equation for Cost? A: If P = R - C, then add C to both sides and subtract P from both sides: P = R - ... | |
| Squeeze Theorem | 9/26/2008 |
| Q: My equation is lim x-> 0 : All of the following is under the square root. (x^2)(cos^2)(1/x) I ... A: Yeah, the Squeeze Theorem is not exactly an everyday useful result! I think here you want to think ... | |
| Limit Dilemma | 9/25/2008 |
| Q: I have a limit that looks as such: lim x -> -3 (x^2-x+12) / (x+3). 1. When I sub in the -3 for x, I ... A: I think you were initially correct, and may have a factoring mistake in your third point. On ... | |
| Finite Mathematics | 9/23/2008 |
| Q: State the domain of each function. 1) f(x) = Square Root(5 - x) 2) f(x) = -2x + 4 if x is less ... A: For the first one, quantities under square roots must be >= 0, so 5 - x >= 0 means 5 >= x or x ... | |
| Finite Mathematics | 9/21/2008 |
| Q: The blood alcohol level of a 180-pound man after he has imbibed x drinks in one hour can be ... A: Okay, so we have the equation BA = 0.022x - 0.0043 for a level of .08, set this equal to BA : ... | |
| help me | 9/19/2008 |
| Q: i am from india, the quesion is If x < 0 then (-x) (-x)/ (-x) =? answer options are A. x B. |x| C. ... A: The key here is that the area of the floor is 10% more than the area of the carpet, and this amount ... | |
| finite math | 9/19/2008 |
| Q: Assume that the set S has 14 elements. How many subsets of S have at most 2 elements? A: Okay, so to have at most 2 elements, that means 0 elements or 1 element or 2 elements 0 ... | |
| Formula | 9/18/2008 |
| Q: I am in high school and I take an advanced math 1 class. I wanted to know if you could help me ... A: It sound to me like they just want you to use the area formula for the square, Area = side^2 or A = ... | |
| very small doubt in modulus | 9/18/2008 |
| Q: i am from india, the quesion is If x < 0 then (-x) (-x)/ (-x) =? answer options are A. x B. |x| C. ... A: Well, if x < 0 , then its a negative number. For (-x)(-x) -------- (-x) ... | |
| Angular speed | 9/17/2008 |
| Q: I'm in pre-calculus and i had some trouble with this problem, and i was wondering if you could help. ... A: I think what you need here is not an angular velocity, since it doesn't ask how fast the point is ... | |
| SAT word problem | 9/17/2008 |
| Q: One adult and 10 children are in an elevator. If the adult's weight is 4 times the average ... A: I would try it this way: Let W(a) = the adult's weight C(t) = the total weight of the 10 ... | |
| SAT math | 9/16/2008 |
| Q: in a xy-coordinate plane, graph x=y^2-4 intersects L at (0,p) and (5,t) What is the greatest ... A: The problem is that what you're trying to graph is a relation but not a function, and you can't ... | |
| integers | 9/16/2008 |
| Q: For what integer value of x is 3x+5>11 and x-3<1 Thank so you much!!! A: Okay, the key here is the word "and". It means that both conditions must be met For the first one, ... | |
| Trig | 9/16/2008 |
| Q: Could you explain to me how to work out a question like this one... Show that (cot^2 )/(1 + ... A: I'm going to use @ for theta, okay? We have on the left side : cot^2 @ / (1 + cot^2 @) ... | |
| SAT math | 9/16/2008 |
| Q: in a xy-coordinate plane, graph x=y^2-4 intersects L at (0,p) and (5,t) What is the greatest ... A: This is not easy to answer without a graph, but basically x = y^2 - 4 is a "sideways" (horizontal) ... | |
| Consecutive and Opposite...? | 9/15/2008 |
| Q: I need an explanation of how to solve this question, so I know how to do others like it when they ... A: I'm not sure what you mean by "opposite" here, but something's missing or incorrect, because if you ... | |
| binomial theorem | 9/15/2008 |
| Q: expand following questions using binomial theorem. a)(x-y)^3, b)(2x-y)^6 and c)(a-b^2)^5.please i ... A: The easiest way is to use Pascal's triangle: 1 ... | |
| Logarithms | 9/14/2008 |
| Q: If log e(x) = -1-log e(y), write down an expression involving x and y which is equal to e^2. Thank ... A: Okay, here's what I see: log[e] x = - 1 - log[e] y ln x = -1 - ln y (log[e] = ... | |
| maths optimation | 9/13/2008 |
| Q: We know area of BCD = 200 sin 2x. Can we find an expression for BD^2 and can we use this to show ... A: Well , to get started, using the Law of Cosines, on triangle DBC, you have BD^2 = 20^2 + ... | |
| Sin wave functions | 9/11/2008 |
| Q: Why does y=sin(x) return a non zero number when x=360 or x=2pi or x=6.283185307 Radians. Also why ... A: This is a common problem when using the calculator. You have to be sure that the calculator is in ... | |
| find the next term in a logarithm sequence | 9/10/2008 |
| Q: My question is: how do i find the next term in this logarithm sequence? log[base4]64, log[base8]64. ... A: This is a lot like the other one I just sent. I would say you have log[4] 64 , log[8] ... | |
| logarithm bases! | 9/10/2008 |
| Q: how do you find the nth term in this logarithm sequence: log[base 2]8, log[base4]8, log[base8]8, ... A: Try to compare the number that is changing to the term number: Term # Term 1 ... | |
| finite math | 9/10/2008 |
| Q: For the set A = {1, 2, 3, 4, 5, 6, 7} How many subsets does A have? a. 49 b. 823,543 c. 5040 d. ... A: 1. A set of k elements will have 2^k subsets (including the empty set), so, I would say you ... | |
| Finite math | 9/10/2008 |
| Q: A group of 85 people were asked whether they liked comedies, dramas, or science fiction movies. ... A: These types of questions are easily solved using a Venn Diagram. I can't draw one here, so I tried ... | |
| calc | 9/9/2008 |
| Q: A ball was thrown up from the ground. Its distance in feet from the ground in t seconds is S=-16t ... A: Okay, so we've got a height function s = -16t^2 + 128t and we want the ... | |
| pre-calc | 9/8/2008 |
| Q: x squared -9 over x cubed -27 times 5x squared -15x +45 over x squared -2x -3 plus x squared +x over ... A: This one takes a little while: First, factor everything: (x + 3)(x - 3)/(x - 3)(x^2 - 3x + 9)* ... | |
| algebra | 9/8/2008 |
| Q: The monthly revenue of a certain companyis given by R=800 -7p^2,where p is price in dollars of the ... A: I'm not sure about all the time involved in the problem, but here's how I see it: For a 260-day ... | |
| slant height -I think ?????? | 9/8/2008 |
| Q: Mr. Holleran, I'm an old timer who has forgotten most of what I learned in high school. Here is my ... A: I'm really struggling with a diagram with this one, John, but I tried my best to get an idea of what ... | |
| Permutation Word Problem | 9/8/2008 |
| Q: How many seven-digit telephone numbers are posible if the first two digits cannot be ones or zeros? A: Okay, we're assuming that after the first two, anything goes. So, by the Fundamental Counting ... | |
| Hello! A GRE math sub question | 9/7/2008 |
| Q: The question is: How many real roots does the polynomial 2x^5+8x-7 have? Thank you very much! A: I think what you want here is to use Descartes' rule of signs. It has to do with the number of sign ... | |
| probability & statistics | 9/5/2008 |
| Q: Assume that airplane engines operate independently of each other and that at least half of the ... A: It seems to me that this is the setup: Plane w/ 2 engines: You want 1 or 2 of these engines to not ... | |
| Math Problem | 9/3/2008 |
| Q: The question is using line 1: x+5y=10, Find an equation to the line that passes through (-3, 5) and ... A: Okay, the line you have is x + 5y = 10 Solving for y, we get 5y = -x + 10 so ... | |
| algebra | 9/3/2008 |
| Q: A company invests a total of $30,000 of surplus fund at two annual rates of interest :5% and ... A: Let's call the amount invested at 6 3/4% = x . That makes the amount invested at 5% = 30000-x Then ... | |
| algebra | 9/3/2008 |
| Q: The monthly revenue of a certain companyis given by R=800 -7p^2,where p is price in dollars of the ... A: Well, if you want the revenue to be 10,000, then you have 10,000 = 800 - 7p^2 which ... | |
| Solve for x | 9/2/2008 |
| Q: consider the linear equation 4^x=8x (four exponent x = 8 times x) you can solve this equation ... A: Well, the equation is not linear, but in any case I don't know of any algebraic way of solving it. ... | |
| pre-calc | 9/1/2008 |
| Q: solve. -5/9=1/7-3c A: I'm not sure how this is really written. Is it -5 1 ---- = ... | |
| Algebra | 9/1/2008 |
| Q: Factor w^2 -7 -12 A: I think you left a "w" out, so I'm assuming the expression is w^2 - 7w - 12. If ... | |
| where did the other go to | 8/30/2008 |
| Q: There 3 man they decided to buy an item for $30.00 and each man contributed $10.00 .After the seller ... A: This is a very old riddle that keeps popping up all the time. It's not a math problem, but really a ... | |
| Solving exponential equations with 4 variables - only 1 of those known. | 8/28/2008 |
| Q: we are currently changing our data series of rainfall data to incorporate climate change. The ... A: Okay, if you're trying to solve for x, then I would move the 0.5 over at the very first step: ... | |
| water measurment in a square or rectangular container | 8/27/2008 |
| Q: Steve. I need to "shock clorinate" my water system. How do I figure out how many gallons of water ... A: Well, there are roughly 7.5 gallons per cubic foot, so lets say your tank was 2ft by 5ft by 4 ft ... | |
| not sure how to simplify these problems | 8/27/2008 |
| Q: a.(ab^-2c^-3)/(a^-2b^-3c^2) b. (x^2+5x+4)/(x+1) A: Okay, on the first one, the factors with the negative exponents should be moved to the other part of ... | |
| function tables | 8/26/2008 |
| Q: input: 0, 1, 2, 3 output: 1, 7, 13, 19 input: 3, 6, 9, 12 output: 13, 28, 43, 58 Help me!!!! A: This is easier if you think of the data as ordered pairs: I. {(0,1) , (1,7) , (2, 13) , (3, 19)} ... | |
| Solving exponential equations with 4 variables - only 1 of those known. | 8/25/2008 |
| Q: we are currently changing our data series of rainfall data to incorporate climate change. The ... A: You could do this using logs, but you could also use roots: y = a * x^b --> (y/a) = ... | |
| equations involving square roots | 8/23/2008 |
| Q: Can you describe how to solve equations like: square root of x - 2 = x - 22? Thanks in advance! A: I'm assuming here that the square root sign is over the entire "x - 2" like sqrt(x - 2) = ... | |
| trail and error | 8/21/2008 |
| Q: 2 eggs,toast, bacon, milk 2.75 1 egg, toast, bacon, milk 2.20 toast, milk .90 1 egg ,toast .95 ... A: Okay, let's write this out with variables: 2e + t + b + m = 2.75 e + t + b + m = 2.20 -----> ... | |
| Solving exponential equation | 8/21/2008 |
| Q: I am having a problem solving this equation for x: y = a ---------- -((x-c)/b) 1+ e ... A: Let's see if I can write this clearly enough. Okay, we start with y = a / [1 + e^-( ... | |
| anwser question | 8/20/2008 |
| Q: 1._what is 12 degrees warmer than 38 degrees? 2.-the number is between 0 and 9. it cannot be evenly ... A: 1. Well, if you want 12 degrees warmer, you want to add 12 degrees to 38 degrees, so you get 38 + ... | |
| math- any number to a negative power | 8/19/2008 |
| Q: just heard about "taking a number to a negative power" Can you explain how to do this? Obviously ... A: Raising a number to a negative power involves making it a fraction. Check out this pattern, for ... | |
| Maths confused! | 8/16/2008 |
| Q: State the formulae for: n E r^2 + n E r n=1 n=1 (The n should be above the "E") Use ... A: Well, for the first part of the problem that you mention, if you are trying to add the results for ... | |
| Logistic Equation | 8/15/2008 |
| Q: you've helped me once before and I think I'm stuck again. Let me know if you can help. dP/dt = ... A: This is the way I see it: dP/dt = kP(1 - P/L) = kP - (k/L)P^2 Now you want to differentiate ... | |
| Arithmetic progression | 8/15/2008 |
| Q: With a second number sequence we have a problem in that the records have been lost except for two ... A: Okay, if the 12th term is 15, then using the formula for a specific term of an arithmetic ... | |
| Domain | 8/13/2008 |
| Q: What is the domain of: y = the square root of x + 1 / x + 5 + the square root of x + 5 / x + 1 ... A: These two have to do with the formula for factoring a sum or difference of cubes: x^3 + y^3 = (x + ... | |
| please help | 8/13/2008 |
| Q: Can you help me with the folloqing? 1 + 1 1 - 2x ___ ___ = ___ ... A: Okay, what you want to do here is to factor the x^2-4 denominator on the right so that your equation ... | |
| Domain | 8/13/2008 |
| Q: What is the domain of: y = the square root of x + 1 / x + 5 + the square root of x + 5 / x + 1 A: This one looks very intimidating, but I think we can work through it. I use something called a ... | |
| geometry help | 8/12/2008 |
| Q: should I use trigonometrics to solve it or is a geometry problem, thanks. A: I would definitely use geometry. There is a theorem about chords in a circle which states that when ... | |
| Rational Equations | 8/12/2008 |
| Q: Completely simplify the following rational expressions: x-3 - 1 = x^2-2 ____ ____ ... A: What you've written here is a rational equation, so I'm assuming that when you say "completely ... | |
| precal | 8/9/2008 |
| Q: find an equation of the ellipse having a major axis of length 12 and foci at (5,9) and (5,-1) ... A: You want to group the x and y terms together and complete the square: -4x^2 - 32x + 9y^2 + ... | |
| precal | 8/9/2008 |
| Q: find an equation of the ellipse having a major axis of length 12 and foci at (5,9) and (5,-1) ... A: John, This is basically the same question. You have 2c = 6 (from (-2,5) to (-2,-1)) so c = 3 You ... | |
| Real roots | 8/8/2008 |
| Q: Just asked you a question, and sorry I typed the equation wrong. It should read: x^5+x+7=0. A: Okay, what the hint is probably referring to is that if you take a derivative: y= ... | |
| Real Roots | 8/8/2008 |
| Q: I'm reviewing out of my Calculus I book this summer because I plan to take Calculus II next ... A: I think what they are getting at is that when you take the derivative, x^5 + ... | |
| Algebra | 8/7/2008 |
| Q: Can you help me with the following algebra equation? And any explanation would be appreciated. ... A: Usually when you deal with consecutive integer problems, people like to name the integers x, x+1 and ... | |
| precal | 8/6/2008 |
| Q: find an equation of the ellipse having a major axis of length 12 and foci at (5,9) and (5,-1) A: Okay, from what I recall about ellipses , the general equation of a vertical ellipse is (x - ... | |
| Intermediate College Math | 8/5/2008 |
| Q: If the diameter of a circle is 1.3 x 10 to the -12 power meters, then what is its radius? A: Well, if our diameter is 1.3 x 10^-12, then the radius is equal to this divided by 2: ... | |
| Algebra | 8/4/2008 |
| Q: I am having a difficult time with this problem. Can you please assist me and provide an explanation ... A: This can be done easily by synthetic division. Remember that what you do here is leave the "x"'s ... | |
| Algebra | 8/4/2008 |
| Q: Can you assist me in the following equation? Also if you could, explain how you got your answer it ... A: Okay, remember that d = rate * time, right? At the point from where he started,he walked 3 mi/hr ... | |
| related rates/calculus | 8/4/2008 |
| Q: we were given analysis booklet and the last question has stumped me can you please help!!! the ... A: Wow, this one is a killer! I haven't come across one like this in a long time, because its a form ... | |
| Chemistry/Math Question | 8/3/2008 |
| Q: The fluoridation of city water supplies has been practiced in the United States for several decades. ... A: Okay, this is not my specialty, but let's see if this makes sense: 150,000 people * 660 L / day = ... | |
| trigonometry question | 8/3/2008 |
| Q: help me. i cannot prove it. show that the equation tan (45+x)=2tan (45-x) can be written in the ... A: Okay, I think this can be done using the formulas for tan(a + b) and tan(a - b): We have : ... | |
| Math Problem from Precalculus | 7/28/2008 |
| Q: I'm trying to solve Problem # 29 of this Website: http://m.njit.edu/Undergraduate/placement.pdf. I ... A: This one is not easy, but try the following: There is a common factor of (x^2 - x)^(-1/3) on the ... | |
| Trig | 7/25/2008 |
| Q: Can you please help me to solve these three math problems? a) Give the value of tan[tan^-1 ... A: A) Here, call tan^-1((x+1)/(x-1)) = A and tan^-1((x-1)/(x)) = B Then you have ... | |
| Probability | 7/24/2008 |
| Q: I am about to take the praxis exam and I am stuck on probability. Can you explain to me the ... A: Okay, I'll try to give an example of what I believe you are asking about: Let's say a container has ... | |
| exponents | 7/23/2008 |
| Q: i was asked to solve for x for this equation: 7^(-9x) = 4^(x+6) could you help me, please? thanks ... A: Okay, since this is an exponential equation, we can solve it using logarithms. You can use base 10 ... | |
| Domain and Range | 7/22/2008 |
| Q: a. Write the formula for f(g(x))and g(f(x))and find the b. domain and c. range of each. 1. f(x) = ... A: These compositions mean that you want to substitute each function into the other . Always work ... | |
| what is this?? | 7/19/2008 |
| Q: I saw this on a test and I have no idea what it is. The question asked me to solve the following: | ... A: Well, I'll take my best guess here and tell you it looks like a determinant. I don't know if you ... | |
| help! | 7/18/2008 |
| Q: 25^-2x=5^6x-3 as well as log4(5x-1)=3 A: On the first equation, you want to write each side as a power of a common base number. In this ... | |
| Trig verifying identities | 7/17/2008 |
| Q: How do i verify each identity? sin(2x)= 2 sin(x)cos(x) A: I don't know exactly what you mean by verifying this, because it is already one of the fundamental ... | |
| pre calc | 7/14/2008 |
| Q: write in the form (c*a^p)*b^q where c,p, and q are numbers: the swuare root of(9*a*b^3) A: For this one, remember that square root means 1/2 power: sqrt[9 * a * b^3] = [9 ... | |
| pre calc | 7/14/2008 |
| Q: write in c*(a^p)*(b^q) form: ((2*(a^2))^3)/b A: Okay, I think we can use the rules of exponents and get this pretty quickly: ([2 * a^2]^3) / b ... | |
| Logarithms | 7/12/2008 |
| Q: Hey, I'm having a hard time trying to figure out how to graph this problem, could you help me, ... A: It's understandable that you're having some trouble here, because these log functions are not easy ... | |
| trig | 7/8/2008 |
| Q: rationalize the denominator: 2/((the square root of 3)+(the square root of 2)) A: The procedure here is the same no matter what the denominator looks like. You want to multiply the ... | |
| Powers | 5/30/2008 |
| Q: How can I calculate the following on a regular calculator. (one without a "power" button) 1.33 to ... A: Well, if your calculator doesn't even have a power key, you can't do this without using tables of ... | |
| Sequences | 5/29/2008 |
| Q: I need help with this question, Find an arithmetic sequence with first term 1, common difference not ... A: Okay, here's what I see: You have an arithmetic sequence that looks like : 1 , ... | |
| Simultaneous equations | 5/28/2008 |
| Q: I think i have worked out this equation but i dont understand where i have gone wrong please could ... A: Your quadratic formula work is fine, but the trouble is being caused by a sign mistake early on: ... | |
| logarithms | 5/28/2008 |
| Q: Use logarithms to solve the problems Q1.What is the cube root? if D = V/0.5236.V = 100. Find the ... A: 1. Do you mean here that you want D = cu rt(V / .5236) and V = 100? If so, the you have log D ... | |
| Sequences | 5/28/2008 |
| Q: Determine the value of n such that (2^1)(2^2)(2^3)(2^4)...(2^n)=2^210 It seems to simple. Am I ... A: I think we need to use a formula here. The question is : 2^1 * 2^2 * 2^3 * . . . * 2^n = 2^210 ... | |
| diffrential equation | 5/27/2008 |
| Q: I am learning diff equations but these 'general' type of problems tend to stump me. to find the diff ... A: I think you've got the right idea here. I don't know if there are any other conditions on the ... | |
| Complex Number | 5/27/2008 |
| Q: Convert the following to trigonometric form: 1) -5-i 2) (4 sqrt5) - 4i 3) -9-(2sqrt10i) thank you! A: 1. Okay, for z = -5 - i, we have the modulus is sqrt(5^2 + 1^2) = rt(26) , and the angle is ... | |
| ap calculus, area under the curve | 5/27/2008 |
| Q: Let R be the region bounded by the graphs of y=x^(1/2), y=e^(-x), and the y-axis. Write an integral ... A: Let's do the area part first. Using a grapher to find the intersection point, it is x = .4263. So ... | |
| long distances | 5/26/2008 |
| Q: If you are traveling ten km per second, how long will it take you to reach any of the nine ... A: Well, Venus, for example is 40,000,000 km from the earth. So, if you travel 10 km / sec it would ... | |
| parametric - vector function | 5/25/2008 |
| Q: A particle moves along a circular path that is centered at the origin in the x-y plane such that at ... A: I haven't done one of these in years, but I think this is the procedure: 1. Since s(t) = (1-t^2 / ... | |
| math-parallel and perpendicular lines | 5/24/2008 |
| Q: 4. The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline for each year. ... A: Okay, the first line is y = 0.15x + 0.79 and the second is y = 0.11x + ... | |
| math-slope | 5/23/2008 |
| Q: Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in ... A: Slope, or rate of change, is simply a division. Here, you want to divide the change in the price, ... | |
| logarithms | 5/22/2008 |
| Q: USE LOGARITHMS TO SOLVE THESE PROBLEMS. Q1.FIND THE PRODUCT OF 1728*0.00024*0.7462*3021*7.6094 Q2.ON ... A: Well, we can get this done, but there's really no reason to use logs on some of these--they're just ... | |
| metric system | 5/22/2008 |
| Q: Q1.The unit 10 m is equivalent to (A) 1 hm. (B) 1 dam. (C) 100 cm. (D) 100 mm. Q2. The SI ... A: This is quite a few questions! Let's see what we can do. 1. 1 dam = 10 m, so the answer is B 2. ... | |
| series question | 5/22/2008 |
| Q: What type of a series is this one? and it's sum 2+2^(1/2)+2^(1/3)+2^(1/4)+2^(1/5)+... Would it be ... A: Well, on this one, I'm not going to be of much help. My background in infinite series is not too ... | |
| series | 5/22/2008 |
| Q: Could you help me confirm the sum of this series 4/3-4/3^2+4/3^3-4/3^4+.... thanks! A: Okay, so we've got an infinite geometric series with first term a = 4/3 and ratio r = -1/3. Using ... | |
| Linear Programming | 5/14/2008 |
| Q: Consider the following linear programming problem: Max Z = $15x + $20y Subject to :8x + 5y <= 40 ... A: Well, I think I can help with the first part of this one. When you graph the constraints, the four ... | |
| Infinite Geometric Series? | 5/13/2008 |
| Q: I'm studying for my final exam on Friday, and my review packet has a problem that I can't remember ... A: Let's see if I can put all this in a context that will help you prepare for your exam. I'll answer ... | |
| Probability and statisitcs | 5/12/2008 |
| Q: On a multiple-choice test of 10 questions, each question has 5 possible answers. A student is ... A: Okay, prob/stat is not my best field, but I think I've got something here. To get a 5 or more, if ... | |
| maths | 5/11/2008 |
| Q: Information on a packet of macaroni cheese per 100g,protein 3.3g,fat 5.3g, carbohydrate 16.8g,sugar ... A: Well, for the first ratio, be aware that you have to convert units so that they match. You could ... | |
| Trigonometry | 5/10/2008 |
| Q: If sinx=3cosx, what is the value of sinxcosx? I tried subbing it in but can't seem to get the ... A: I came up with something by trying this: sin x = 3 cos x ------------> sin x / cos x = 3 so tan ... | |
| Trig Identity (Proving equal on 1 side) | 5/8/2008 |
| Q: (tanA + cotA)(secA - cosA) = secAtanA A: Okay, we're working on the left side: (tan A + cot A)(sec A - cos A) = tan A sec A - tan A cos ... | |
| math (ratio) | 5/7/2008 |
| Q: The ratio of hours in a day to days in an hour is A) 1:24 B) 24:1 C) 48:1 D) 576:1 I feel the ... A: Okay, let's see, there are 24 hours in a day, and an hour is 1/24 of a day, so the ratio would be : ... | |
| trig | 5/7/2008 |
| Q: Verify the identity: 1/1+cost=(csct-cott)csct A: Okay, so we've got 1 / (1 + cos t) = (csc t - cot t) * csc t I would work ... | |
| Trig | 5/7/2008 |
| Q: For f(x) = 2 sin(2x+Pi/4) The amplitude= ? The period=? the phase shift-? A: Okay, we've got f(x) = 2 sin(2x + pi/4) The amplitude is the absolute value of the multiplier in ... | |
| Complex Numbers | 5/6/2008 |
| Q: I've just been doing this complex numbers booklet and this question (attached) has stumped me. ... A: Well, I think I have something put together here. Let's take a look: Since z = a + bi, then z + i ... | |
| Algebra Problem Require Help | 5/6/2008 |
| Q: Weights of 2, 3, 5, and 7 pounds are not labeled. Using a balance scale. How many weighting do you ... A: I would think you would need 4 weighings. Pick two, weigh them , keep the heavier and set the ... | |
| combinations | 5/5/2008 |
| Q: The expert can't answer your question. Your Question was: We have 7 white balls and 6 red balls. ... A: Magnus, Thanks for your follow-up. I think, however, there are some inaccuracies here. The ... | |
| Calculus & Vectors | 5/4/2008 |
| Q: Find all maximum and minimum points for y=2sinx+sin^2x A: Okay, so we have y = 2 sin x + sin^2 x So the derivative is y' = 2 cos x + 2 (sin x )(cos x) =0 ... | |
| trig | 5/3/2008 |
| Q: verify the idenity: cscA sin2A - secA = cos2A secA A: Okay, let's try this approach: Left side: csc a sin 2a - sec a = 1/sin a * 2 sin a cos a - ... | |
| Simultaneous equations | 5/2/2008 |
| Q: 1. A number consisting of two digits has the following properties. When the number is added to twice ... A: Let's see what we can do here: 1. Let t stand for the tens digit u stand for the units ... | |
| triangles | 4/16/2008 |
| Q: hello i have a triange that angle a is 90 angle b is 15 and angle c is i dont know what but i dont ... A: This is a right-triangle trig problem, so we're going to use the sine, cosine and tangent functions. ... | |
| Derivitives | 4/16/2008 |
| Q: I don't understand the whole d/dx when finding the differation of a simple exponent such as y = ... A: To find a derivative when you have one function multiplying another, you have to use a process ... | |
| Quadratic equations | 4/14/2008 |
| Q: I am so sorry I forgot the equation to my previous question tickets=-0.2x^2 +12x +11 A: Ahh, that's better! Okay then, A. Yes, it opens down. This is due to the negative lead ... | |
| What kind of Jobs and Pay for Mathematics? | 4/14/2008 |
| Q: Upon achieving a bachelors of science in Mathematics, what are typical jobs one can get using this ... A: I can only speak from my own experience. I became a math teacher straight out of college in 1972 ... | |
| A particle moving according to the velocity function | 4/14/2008 |
| Q: Consider a particle moving according to the velocity function, v(t)=2a-3exp(-2t) + 2/t+2, t > 0. ... A: I hope I've interpreted your equation correctly: v(t) = 2a - 3e^(-2t) + 2 / ... | |
| Please help me to solve this problem. | 4/13/2008 |
| Q: I am very week in math. I have got few problems in mathmatics. I will be very grateful to you if you ... A: I'm having difficulty understanding these questions. 1. If the sales rose 4%, then that's the ... | |
| Headlight design | 4/12/2008 |
| Q: OK trigonometric word problem for ya. A light source is to be placed on the axis of symmetry of ... A: I hope I've got the figure visualized correctly. Let's orient the parabola with vertex at the ... | |
| Maths | 4/12/2008 |
| Q: at some stops, a certain bus picks up 5 people. at other stops it picks up 2 people and at the same ... A: I don't know that there's a graphical method of doing this--I tried linear programming, but it ... | |
| Math Inductions | 4/12/2008 |
| Q: I'm an udergraduate student studying for an upcoming math exam. I am having trouble with math ... A: I think I understand what you are trying to do here. First, show that the proposition is true for n ... | |
| Ratio problems | 4/12/2008 |
| Q: 1) a scale of 1:200 is used to draw a line representing a distance of 5m. What is the actual length ... A: When scale is used, it commonly is set up drawing/actual, and I think the easiest way to do these ... | |
| math | 4/11/2008 |
| Q: If 8x + 5x + 2x + 4x = 114, the 5x + 3 = please help. A: Okay, take the first equation: 8x + 5x + 2x + 4x = 114 Add the terms on the left side: 19x ... | |
| Complex Fractions | 4/11/2008 |
| Q: I want to divide 36.4 by the complex fraction 1/(1/10), 1 over 1/10. Can you check my calculations ... A: Your answer is correct, but I think you're going after it in a very roundabout way. Its much more ... | |
| mixed | 4/10/2008 |
| Q: I have two questions What is the gradient and intercept of the straight line with the equation 4y= ... A: For the first one, solve the equation for y: 4y = 2x - 3 y = 2/4 x - 3/4 = 1/2 x ... | |
| precalc question | 4/10/2008 |
| Q: prove: cos(3π-ϑ)=-cosϑ A: I'll use x here instead of theta, its easier. If you use the difference formula for cos(A - B), ... | |
| Finite Mathematics | 4/9/2008 |
| Q: Steve, I am not sure if you can help me with this but I hope you can. It is a Linear Programming ... A: It certainly has been awhile since I've worked this, but I think I came up with a solution here: ... | |
| limit of a sequence | 4/9/2008 |
| Q: I am working on sequences and would like help to mathematically find the limit of the sequence ... A: Hey, you're really keeping me sharp on sequences! I haven't worked with some of this stuff for ... | |
| trigonometry advanced equation solving | 4/7/2008 |
| Q: I'm interested in trying to find the ingenious technique to solve the following trigonometry ... A: Here's my thinking: tan x + cos x = 3 sinx / cos x + cos x = 3 Multiply everything by cos x: ... | |
| limit of a sequence | 4/4/2008 |
| Q: I am working on sequences and would like help to mathematically find the limit of the sequence ... A: I'm not real good at sequences, but this is what I see: a1= sqrt 2 = 2^(1/2) a2 = sqrt(2*sqrt 2) = ... | |
| trigonometry advanced equation solving | 4/4/2008 |
| Q: I'm interested in trying to find the ingenious technique to solve the following trigonometry ... A: I've played with this one for days now, and I cannot get an algebraic solution. I got it to a ... | |
| Triangle Question | 4/3/2008 |
| Q: So I'm taking this practice ACT online, and I got to this triangle question, which I vaguely ... A: Okay, if the slope can be no more than 0.25, then we need to remember that slope, m, is vertical ... | |
| Solving Trig Equations | 4/3/2008 |
| Q: Find all solutions to the equation: 2cosXsinX-sinX A: There's no equation here, because you haven't set it equal to anything, but I'm going to assume its ... | |
| algebra | 4/2/2008 |
| Q: I am attempting to finish homework problems but I have difficulty with set up can you assist me? ... A: It looks like, in #1 - #4, you have a mixture of factoring and using the quadratic formula. Let's ... | |
| Probability and randomness | 4/2/2008 |
| Q: Three couples, six individuals, sit down randomly around a round table. What is the probability ... A: I am definitely not very good at these probability problems, but here's the only ideas I have, after ... | |
| sets | 4/2/2008 |
| Q: Please help me with these 2 questions: 1.The number of ways of selecting 2 numbers from the set ... A: Okay, on the first question, I just made a list of each number, together with the ones which gave ... | |
| equations | 3/31/2008 |
| Q: using the equation: I = 0.8[1-10^(-0.0434t)] after ,t, sec a) what is the current after 5 s b) ... A: Okay, let's do this a step at a time: I = 0.8 [1 - 10^(-.0434t)] ... | |
| Math | 3/30/2008 |
| Q: i am doing a project in math but im kind of stumped, we have word problems over functions, i am to ... A: I think you just have a small typo in your formula. Otherwise, you've got it. I think the equation ... | |
| Logarithms | 3/30/2008 |
| Q: So I am stumped on how to solve these Logs: 12. log5(x - 1) + log5(x - 2) - log5(x + 6) = 0 13.a) ... A: To do some of these, you have to use the properties of logs: I. log x + log y = log (xy) II. log ... | |
| Quadratic World Problems | 3/27/2008 |
| Q: I have been struggling in doing quadratic word problems for quite a while. I understand all ... A: Let's see what we have: 1. Call the length x and the width y. Then you have, from the ... | |
| mathematics - trig | 3/26/2008 |
| Q: Please help me solve: sin 2x = sin 1/2x ANSWER: Hi Nadya, The only reasonable way I see to solve ... A: OK, here goes: sin 2x = sin 1/2x 2 sin x cos x = sqrt((1-cos x)/2) 4 sin^2 x cos^2 x = (1-cos ... | |
| Input-output table | 3/25/2008 |
| Q: Write a function rule for the input-output table. input x -3,0,3,6 output y 1,0,-1,-2 A: When you have these kinds of questions, its easy if you use the idea that the function is linear. ... | |
| mathematics - trig | 3/23/2008 |
| Q: Please help me solve: sin 2x = sin 1/2x A: The only reasonable way I see to solve this is graphically. If you enter "sin 2x - sin .5x" into a ... | |
| Quadratic problem solving | 3/23/2008 |
| Q: On account of repairs, the average speed of a train on a 200km trip is reduced by 5km an hour. This ... A: Let's say the train's normal rate is r and normal time for the trip is t. Then 200 = r * t. Now, ... | |
| College Math | 3/20/2008 |
| Q: 2.) Find the values of x and y that solve the following system of equations:We call the two numbers ... A: Basically what you want to do here is to use the process called "elimination". We need to use ... | |
| algebra | 3/20/2008 |
| Q: I am trying to teach myself algebra just for the heck of it, I am having trouble with this problem, ... A: Okay, call cases of juice j and cases of water w. Then you have these two equations: ... | |
| Quadratic problem solving | 3/20/2008 |
| Q: can u help please? The sum, S, of the first n positive integers, 1+2+3+4+...+n, is given by ... A: Okay, using your formula, the sum of the first 80 positive integers would be : ... | |
| dechlorinator | 3/19/2008 |
| Q: I bought an inexpensive dechlorinator for my aquariums. All it says on the back is: 1.207 grams ... A: Okay, let's see if I've got this. If 10 tsp = 0.1 lb, and there are 454 g = 1 lb., then 45.4 ... | |
| factoring | 3/17/2008 |
| Q: how would you facor this problem 2x^2+15x+12 also if you have time..... what is the method to ... A: This does not factor over the rational numbers. You would use the quadratic formula to find the ... | |
| need help | 3/16/2008 |
| Q: Sarah, a pharmacist, has a 60% solution of sodium iodine. She also has a 25% solution of the same ... A: Okay, here's what we've got: solution: 60% 25% 40% ... | |
| vectors | 3/16/2008 |
| Q: i need help i dont understand how given v= -2i-4j+3k i am to find the 3d vector my teacher told us ... A: this is not easy to describe. What you want to try to do is think of the xy-axis system like the ... | |
| polynomials | 3/14/2008 |
| Q: how can i find the graph & the equation for these two statements: - An odd-degree function with 3 ... A: Well the only way you're going to get smaller values is to take very small x-values. I didn't know ... | |
| polynomials | 3/14/2008 |
| Q: how can i find the graph & the equation for these two statements: - An odd-degree function with 3 ... A: For the first one, let's say you give it zeros at x= -5, -3, -1, 1, 3, 5, 7. Then an equation ... | |
| help | 3/14/2008 |
| Q: prove cosu-cosv=-2sin(u+v/2)sin(u+v/2) A: I think there's a typo here, so I'm going to write and work with what I think you meant to write. I ... | |
| Precal | 3/13/2008 |
| Q: A certain bacteria will triple in 6 hours. If the final count is 8 times the original count, how ... A: I'm assuming exponential growth here. If so, the the equation we want to use is P ... | |
| algebra | 3/11/2008 |
| Q: 3x-2y=b 5x+ay=4 For what value of a is there no solution for this simultaneous equation A: Well, let's see-- a system will have no solution if the variables drop out and the constant on the ... | |
| Need Help!!! | 3/11/2008 |
| Q: cos2x/1-cos2x=cot2x, and sinxsecx+cotx=1/sinxcosx we have to prove this identity, and i need help, ... A: There is something incorrect with this first verification problem. You can't prove it, because its ... | |
| Scatter plot | 3/10/2008 |
| Q: I have a scatter plot question for you: Question goes like this: You are a manger at a car ... A: Well, you don't specify what the discounts are, but if it were me, I would place the prices on the x ... | |
| Algebra is outside of your expertise? | 3/8/2008 |
| Q: Your question was I am trying to find the stationary points in terms of the unknown constant R: ... A: Your question purports to find "stationary points" in this problem. My experience with "stationary ... | |
| Trigonometric Functions | 3/6/2008 |
| Q: I'm having real trouble figuring out what to do for this question, can you please help. Attached is ... A: Okay, let's see what we have here. Since the graph passes through (0,0) and (pi/3, 2), their ... | |
| factoring | 3/5/2008 |
| Q: I was wondering how would you factor 3u^4-10u^2+3 to be able to solve u for tanx where 0<_x<_pi ... A: Okay, let's give this a try. I like this method because it will work for any quadratic with a lead ... | |
| Finite Mathematics | 3/3/2008 |
| Q: I cannot figure out this problem and it will drive me nuts until I do. Could you help? Here are a ... A: Well, I hope my response doesn't drive you nuts, because I don't think this problem works out. If ... | |
| Advanced Algebra | 3/3/2008 |
| Q: Please Help me...i dont understand how to do these questions A lifting body's flight path was ... A: Well, I'm not absolutely certain what the function should be here, but from all my experience in ... | |
| converting sq foot to acres | 3/1/2008 |
| Q: I know how to convert sq feet to acres...could you please tell me how to figure a 6 sided building ... A: Well, I'm not going to be as successful at this as I thought. If you had a hexagon which was 100 ft ... | |
| Trigonomic equations | 2/29/2008 |
| Q: Steve. If I could see the steps laid out that would help the most. Solve for x algebraically: ... A: I think the easiest way to do this is to call sin^-1 (24/25) = A. Then, you have : sin A = 24/25 ... | |
| converting sq foot to acres | 2/29/2008 |
| Q: I know how to convert sq feet to acres...could you please tell me how to figure a 6 sided building ... A: I think I can help with this, but it would really help if you could provide more info on the shape ... | |
| Algebra 2! | 2/28/2008 |
| Q: This is one equation the "_________" is suppose to be the division sign. 1) Simplify: ... A: Well, it sounds like you've done the steps correctly. Compare yours to this: m^2 - 4m - 21 ... | |
| grade 4 sequence problem | 2/27/2008 |
| Q: My son's teacher gave this sequence and asked the class to find the next one. Believe it or not, I ... A: Well, unless I'm mistaken, I think there's an omission in one of the terms here. If not, I don't ... | |
| vectors and angles | 2/26/2008 |
| Q: What is the dot product of the two displacement vectors U=[2m,-1m,3m] and W=[5m,2m,-2m]? What is the ... A: Okay, the dot product formula is U . W = |U| |W| cos A where A is the angle between ... | |
| Algebra 2! | 2/26/2008 |
| Q: i would like to know how to get the answer. thank you! =] 1- Use Cramer's Rule to solve the ... A: On the first question, there's a little-used result that when you have a quadratic equation written ... | |
| Trig expression | 2/26/2008 |
| Q: My second question involves finding the exact value of sin105cos15, but I can't use a calculator, ... A: To do these types of problems, you want to make use of the addition/subtraction formulas for sine ... | |
| Pre-Calc | 2/25/2008 |
| Q: A dog is tied to a 40 foot rope that swings 120 degrees. How much area can the dog cover? A: Okay, so basically we have a circular sector with a radius of 40 ft and a central angle of 120 deg = ... | |
| Proof for Integrals that result in inverse trigonometric functions | 2/25/2008 |
| Q: I need to write proofs for the following: 1. The integration of 1/squareroot[a^2 - x^2]dx when a is ... A: Well, I'm not very good at proof, but here's what I would do: 1. INT [ 1/sqrt(a^2 - x^2) dx] ... | |
| matrix | 2/24/2008 |
| Q: what does it mean when a question ask Determine all values of x so that the matrix A has an inverse ... A: A matrix will have an inverse as long as its determinant is not =0. So, find the determinant and ... | |
| Algebra 2! | 2/23/2008 |
| Q: i would like to know how to get the answer. thank you! =] 1- Use Cramer's Rule to solve the ... A: I think you have an error in what you typed here--I don't see what the 2B has to do with the ... | |
| math | 2/19/2008 |
| Q: Doris spent 2/3 of her savings on a used car, and she spent 1/4 of her remaining savings on vintage ... A: Okay, we can do this a couple ways. First, you could reason backwards: if $250 was 1/4 of her ... | |
| algebra- logarithmic functions | 2/18/2008 |
| Q: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in ... A: Well, for the evaluation part, just make a table up listing the x-values and the results when you ... | |
| math problem help | 2/18/2008 |
| Q: solve the inequality and give in interval form: X^2+4X+4 divided by X^2+4X > or equal to 0 ... A: The way I suggest you do this is to create a "sign chart": First, factor the expressions: ... | |
| inequalities | 2/17/2008 |
| Q: how do i solve 2+4x<_3*2^x A: I would approach this graphically. Use a graphing calculator, or an online graphing program and ... | |
| precal help polar graphs | 2/16/2008 |
| Q: I'm having trouble finding the points for r=2cos5theta (i can't find the symbol) please help me A: All you have to do is pick some values for theta. You can express them in degrees if it helps, just ... | |
| synthetic division | 2/16/2008 |
| Q: Use synthetic division to find each function value. g(x) = x^6 -4x^4 + 3x^2 + 2 A)g(2) B)g(-4) ... A: Okay, these all go the same way, so I'll show g(2), and you can verify the others, because its ... | |
| some questions | 2/14/2008 |
| Q: 1. the quadratic equation x2 - 2x + k = 0 has solutions x=4 and x=-2. what is the value of k . a. ... A: An easy way to do this is to just substitute one of the solutions in for x: x=4 : 4^2 - 2(4) + ... | |
| ALGEBRA 1 | 2/7/2008 |
| Q: I am working on 3 Algebra 1 problems and I cannot come to the correct answer, and don't know what I ... A: I. To change w-3 / w+5 to a fraction with denominator w^2 + w - 20, notice that this last ... | |
| Scientific Notation | 2/6/2008 |
| Q: Express each of the following using scientific notation a. 45000 b. 0.000067 A: Okay, in scientific notation, you want to write your number as the product of a number between 1 and ... | |
| systems of equations | 2/6/2008 |
| Q: I am having a little trouble remembering what to do with problems like these. 2x – y +3z = – 14 3x ... A: Okay, the first thing is to pick a variable to eliminate first. Let's pick y, because the ... | |
| trigonometry | 2/4/2008 |
| Q: A surveyor is measuring the height of a mountain. From point A, he measure the angle of inclination ... A: Okay, let's set up the situation: Draw a vertical segment to represent the height of the mountain ... | |
| math help | 1/5/2008 |
| Q: first of all I just wanted to know if the Fibonacii Sequence is a function? I was thinking that it ... A: First of all, yes, all sequences are functions with a domain of the counting numbers. Secondly, you ... | |
| Trigonometric Functions | 1/4/2008 |
| Q: I'm sorry to bother you again. But can you help me with these too. I need to finish my trig course ... A: Whew! This is a lot to ask all at once. Can you try to send them in smaller groups in the future? ... | |
| rational expressions | 12/31/2007 |
| Q: x^2-2kx+12=0 has two positive roots, one which is three times the other. What is k and what are the ... A: I used some facts about quadratics that are sometimes forgotten to do this: For a quadratic in the ... | |
| Vectors | 12/31/2007 |
| Q: I am having trouble with these set of questions. A plane is heading west at 200 mph. The wind is ... A: Okay, if you draw a North-South-East-West system, then the plane is heading due West at 200 mph. If ... | |
| Math Question | 12/31/2007 |
| Q: How do I figure out what size room I need to hold boxes that with their combined measurements have a ... A: Well, you've kind of left the question wide open, since you don't state whether there are any ... | |
| polynomial expressions | 12/30/2007 |
| Q: The polynomial x³+5x²+ax+b has x-1 as a factor. When the polynomial is divided by (x-2), there is a ... A: Okay, since x - 1 is a factor, when we run 1 through synthetic division, it has to leave a remainder ... | |
| CRAMER'S RULE | 12/28/2007 |
| Q: 1.can you please solve for y using cramer's rule 3x-2y-4z=1 2x+5y-2z=-3 5x+3y-3z=10 2. can you find ... A: I still think something's wrong here. Are you SURE that below the sigma it doesn't have k = 1? ... | |
| CRAMER'S RULE | 12/27/2007 |
| Q: 1.can you please solve for y using cramer's rule 3x-2y-4z=1 2x+5y-2z=-3 5x+3y-3z=10 2. can you find ... A: 1. Okay, to use cramer's rule to solve for y, you want to use the following setup: y = ... | |
| ALGABRA | 12/26/2007 |
| Q: I do not understand how to solve problems using substitution and elimination method x+y=10 y=x+2 ... A: Okay, these are not that difficult--you can do these! For the substitution method, look for x or y ... | |
| help | 12/24/2007 |
| Q: 1. please write as a single trigonometric function sin 2x/1-cos2x 2. can you determine the period ... A: 1. Okay, let's make use of two double-angle identities here: sin 2x = 2 sin x cos x cos 2x = 1 - ... | |
| precal | 12/18/2007 |
| Q: find the focus and directrix for the parabola with the given equation x^2 = 36y answers 1. ... A: The form you want to use is y = (1/4p) x^2 where p is the distance from the vertex ... | |
| Math | 12/15/2007 |
| Q: A city block 500 feet by 500 feet has a large building 300 feet by 400 feet in the NW corner. The ... A: Okay, you have a diagram like this (I didn't put in the lines--you can do that easy enough. Its ... | |
| linear functions | 12/15/2007 |
| Q: tim finds that if his vacation is 9 days long it will cost him $3111 and if it is 23 days long it ... A: Okay, there are several ways to deal with this. One nice way is to consider the information as ... | |
| trigonometry | 12/13/2007 |
| Q: solve equation for x where 0<= x <2pi cos 2x cos x - sin 2x sin x = -1 A: This one can be very difficult if you treat it one way, but very simple if you take another ... | |
| Series | 12/13/2007 |
| Q: find the sum from n=0 to infinite of n/(4n+9) pliz help A: The only thing I can think to do here, since this series is not geometric, is to divide the fraction ... | |
| venn diagrams | 12/12/2007 |
| Q: in a local high school, there are 100 students in grade 11.Each student takes at least one of the ... A: Tough to draw venn diagrams, which is what you need to solve this. If you draw a 3-circle venn ... | |
| circle geometry | 12/12/2007 |
| Q: a circular culvert has a radius of 30cm. the depth of water in the culvert is 45cm. what is the ... A: I hope I understand the setup of the question correctly. In my diagram, I am looking at the ... | |
| pre-cal | 12/11/2007 |
| Q: What is the measure of the angle at which the line 7x-3y=10 intersects the x-axis? A: Since the slope of the line is 7/3 (solve for y and you get y = 7/3 x -10/3), if you draw a ... | |
| precalc | 12/10/2007 |
| Q: Determine whether the graph of each relation is symmetric with respect to the xaxis y axis and the ... A: The idea here is to form f(-x) and compare it to the original. If its the same, you have y-axis ... | |
| sys. of linear equat. (unusual) | 12/9/2007 |
| Q: Studying for the CLEP, and haven't taken/used math in years. I remembered enough for many of these ... A: Actually, the best device to use to solve these is a Venn diagram. If you are not familiar with ... | |
| Trigonometric identities | 12/7/2007 |
| Q: 1 Cos a cos b ____________ = _____________ tan a + tan b sin( a+b) Verify ... A: This one is not as difficult as it looks. On the left, let's break the tangents into sines and ... | |
| pre-cal additional topics in trig | 12/7/2007 |
| Q: how to find magnitude and direction of vectors say the given problem is v=6i+6j how do i find the ... A: Okay, you just want to diagram the vector on the xy-axis system. Draw the 6i vector from the origin ... | |
| Pre-Calc | 12/6/2007 |
| Q: I need help with thisProve the following identity: (cos^2(u-v))/(cos u sin v)=(tan u+cot ... A: I would start on the right side: (tan u + cot v) / sec(u-v) = [sin u/cos u + cos v/sin v] / ... | |
| linear program (revised) | 12/3/2007 |
| Q: Write the objective function and constraints for the following linear program, then carefully graph ... A: Okay, let's let x = # teens and y = # preschoolers Then the objective function we want to maximize ... | |
| Math | 12/3/2007 |
| Q: A plane leaves an aircraft carrier and flies due north at 500 km/hr. The aircraft carrier proceeds ... A: Okay, Let's call the original point where the plane leaves the carrier O, the plane will be P and ... | |
| Definate Integration (updated) | 12/2/2007 |
| Q: i submitted these questions before but there was a typo error for question 2, so here's an updated ... A: Okay, on #1, if you graph the curve, you'll see the area is above the x-axis, so we can just do a ... | |
| Intergrals substituition | 12/2/2007 |
| Q: use substituition to find the following integrals: a) x ( x - 2 ) ^ 15 b) x ( 2 x + 1 ) ^ 1/2 Many ... A: Lill, The first one I just finished for you. On the second one, call u = 2x+1. Then du = 2 dx, dx ... | |
| Intergrals substituition | 12/2/2007 |
| Q: use substituition to find the following integrals: x (x - 2) ^ 15 A: Okay, lets use u = x-2. Then du = dx and x = u+2 so you have INT [(u+2)* u^15 * dx] = ... | |
| math | 12/1/2007 |
| Q: how do you simplify the square root of 90 A: When you simplify square roots, you want to look for perfect squares that are factors of the number. ... | |
| Trigonometry. | 12/1/2007 |
| Q: Hey, just a quick question I'm stumped on. Does the cosine law work for right-angle triangles? ... A: Sure! the Law of Cosines works for all triangles. It's just that in the case of a right triangle, ... | |
| system of equations/matrix equation | 11/29/2007 |
| Q: Write the following problems as a system of equations, and then write that system as matrix ... A: Okay, for the first one, we have these equations: x + y + z = 40 ----------> x + y + z = 40 ... | |
| Trigonometry | 11/29/2007 |
| Q: I was wondering if you could help me with this problem. It states: prove the distance formula for ... A: A diagram would really make this easier to explain, but not having one, maybe we can get through ... | |
| Solving problems without using factorial | 11/28/2007 |
| Q: Can you help me to solve this problem without using factorial? At a basketball tournament involving ... A: I would try something like this: Make a diagram and use 8 letters for the teams: ... | |
| college algebra help | 11/28/2007 |
| Q: Okay- here's what I'm having touble with... 1. what's the equation of the line with point (3,-2) and ... A: 1. The given line has slope = -2/-5 = 2/5, so any perpendicular has slope -5/2. If it passes ... | |
| Trigonometry | 11/27/2007 |
| Q: Solve the trigonometric inequality over the indicated interval. secx - cosx > 0 ... A: I do these using what I call a sign chart. We want to get a single expression on the left, then ... | |
| matrix operations | 11/27/2007 |
| Q: I cant figure out how to do this, I will write out the whole thing, you have to use matrixes to ... A: Well, there's a lot of information here, and its not easy to show some of the matrices using script, ... | |
| algebra Q | 11/27/2007 |
| Q: please solve: 2x squared +3x+8=0 A: I don't know what level of algebra you are at, but to solve this you have to use the Quadratic ... | |
| midpoint | 11/27/2007 |
| Q: Use the Midpoint formula three times to find expressions for the three points that divide the line ... A: Okay, to find the midpoint coordinates of a segment, we just average the x's and the y's. So, if ... | |
| Maximize Revenue | 11/26/2007 |
| Q: 12000 customers at $16/mo. Will lose 400 customers for every dollar that rates are increased. ... A: Okay, first, the revenue R at $16/mo is R = 12000 * 16 = $192,000. Let x = the number of ... | |
| precalculus | 11/24/2007 |
| Q: I keep getting to the end and then I know I can't take the log of a negative number. Where am I ... A: Well, I am getting the same answer you are, but that doesn't mean you are wrong. You should get x = ... | |
| Volume of a slanted pyramid | 11/21/2007 |
| Q: I have a volume related question for excavation. If I am burying a large concrete box-shaped ... A: Okay, I think I have this under control. Basically, what you're describing is called a frustum of a ... | |
| Proof of induction | 11/20/2007 |
| Q: This is my assignment: Create a proof by mathematical induction that demonstrates that the sum of ... A: Okay, for induction, we first show its true for n=1: 2 = 1(1+1) True Assume true for n= k: 2 + 4 ... | |
| What will mother do? | 11/20/2007 |
| Q: all the relatives show up for dinner. Mother is the peace keeper in the family and she must seat ... A: Okay, I think we can do this with this seating arrangement: Gran Mom ... | |
| Solids of Revolution | 11/20/2007 |
| Q: I am trying to find the volume generated by rotating the following graphs aroudn the x-axis: y = ... A: Okay, there's a lot to go through here, so let's take it a piece at a time. On the curve itself, y ... | |
| Algebra | 11/19/2007 |
| Q: The question I have is. Use properties of lagarithms to expand the logarithmic expression as much as ... A: Okay, we have log(6) 7/6 One property states that the log of a quotient is the difference of the ... | |
| Pre-Calculus | 11/19/2007 |
| Q: I am working on the following problems and need to know if I am on the right track. Problem 1 ... A: Okay, when you want to find a trig value for "special" angles, those that are multiples of 30 or 45, ... | |
| Pre-Calculus | 11/18/2007 |
| Q: I am working on the following problems and need to know if I am on the right track. Problem 1 ... A: Autumn, Your work is good for what you have. Just a couple considerations: 1. When you get to ... | |
| Pre-Calculus | 11/18/2007 |
| Q: I need help with the following problem, please. I can not figure out where to start with this one. ... A: Hey, let's use a nice little trick here. If you notice, the left side looks just like the identity ... | |
| function tables rule | 11/17/2007 |
| Q: im in the 8th grade and i take integrated math 1. im having trouble finding a rule for a function ... A: It's not easy, because its not a linear relationship. Notice how the x's go up by 1 each time, but ... | |
| Pre-Calculus | 11/17/2007 |
| Q: I am hoping that you can assist me with the following question. The question is: Validate the ... A: Hey, you are doing great! And, you are almost done! All you have to do now is write what you have: ... | |
| GMAT question | 11/16/2007 |
| Q: i cant seem to work this one out although it should be simple 2^x - 2^(x-2) = 3(2)^13 ^ is ... A: Okay, lets try this: on the left, break the 2^x into 2^(x-2) * 2^2: then 2^(x-2) * 2^2 - ... | |
| Trigonometry | 11/7/2007 |
| Q: 2(sin^-1x)cubed+5(sin^-1x)squared-1=0 Could you please solve this trig equation. A: Okay, the only way I know to do this is to think of sin^-1 x as A: 2A^3 + 5A^2 - 1 = 0 By ... | |
| Math Help | 11/7/2007 |
| Q: I need some help with the questions below. Can you help me with some. The problems are solving the ... A: Okay, let's see: 1. 3x < -6 divide both sides by 3: x < -2 2. -5x > 25 divide both sides by ... | |
| cylinder diameter | 11/6/2007 |
| Q: Cylinder is 24"deep and the volume is 160FT3, What is the diameter? A: Okay, the cylinder's height, h = 2 ft. The volume, v = 160 ft^3 The volume formula is V = pi ... | |
| Surface Area, height | 11/4/2007 |
| Q: A sphere has a radius of 6.8cm. A cone has a base radius of 9.6cm. The volume of the sphere is equal ... A: Okay, the formulas are: Sphere : V = 4/3 * pi * r^3 Cone: V = 1/3 * pi * r^2 * h So, for the ... | |
| Trigonometry | 10/31/2007 |
| Q: cos^2(4x)= 1/2 A: First, take the square root of each side, so cos 4x = 1/sqrt(2) or cos 4x = -1/sqrt(2) In ... | |
| Algebra-multiplying rational expressions | 10/31/2007 |
| Q: I do not understand polynomials and am struggling to figure out how to multiply fractions with ... A: Okay, what you want to do is to factor each numerator and denominator: (2x-3)(x+1) /(3x+4)(x+1) * ... | |
| L'Hopital's rule - doesn't seem to terminate | 10/29/2007 |
| Q: Question in a first college Calculus course from a chapter on L'Hopital's rule: limit x -> infinity ... A: How about this? If we do your first step, we have lim(h->0) [x^2 / (sqrt(x^2 + x)+ x)] If you ... | |
| help probability | 10/28/2007 |
| Q: let P(X) = .55 and P (Y) =.35. Assume the probability that they both occur is .20. What is the ... A: Well the basic probability rule for this is P(X or Y) = P(X) + P(Y) = p(X and Y), so P(X or Y) = ... | |
| BASIC MATH SKILLS | 10/28/2007 |
| Q: I am having difficulty, can you help me? What do the slashes mean? Also how do I answer the ... A: The slashes are "fraction bars". When typing, its easier to write the fraction 2 ... | |
| Factorial problem. | 10/26/2007 |
| Q: Steve, I am confused by the following two statements. 0!=1 1!=1 Is there any proofs to the above ... A: Well, these are definitions, not theorems, so they require no proof. since n! means 1 * 2 * ... * ... | |
| X-Intercept | 10/25/2007 |
| Q: I'm having trouble finding the x-intercept for this problem. 3x^2-12x-1 A: Okay, the x-intercept is where y = 0, so we have 3x^2 - 12x - 1 = 0 using the ... | |
| limit/derivative | 10/24/2007 |
| Q: I'm not sure how to approach this question at all. lim as h->0 of tan2(x+h)-tan(2x)/h Can the h be ... A: I'm not sure what stage of Calculus you are at, but what you want to do here is recognize this limit ... | |
| The Mean Value Theorem | 10/23/2007 |
| Q: 1. Suppose that in a race, horse A and horse B begin at the same point and finish in a dead heat. ... A: 1. Well, I don't know what type of "proof" is needed here, but if they covered the same distance in ... | |
| symmetry | 10/23/2007 |
| Q: decide whether the equations have symmetry around the x-axis, the y-axis, the origin, or none of ... A: To do this, in each case you want to find f(-x) and compare it to f(x). If f(-x) = f(x), then f has ... | |
| Statistical | 10/22/2007 |
| Q: We looked at U.S. population that own homes. 30% own a house with only on garage, 40% own a garage ... A: Well, I'm not entirely clear about theare you asking about any house with a garage, or houses with ... | |
| Quadratics | 10/22/2007 |
| Q: 1.)4x^2 – 4x + 1 > 0 for this problem I got here 4x^2 – 4x + 1 > 0 b^2 – 4ac = 4^2 – 4 * 4 *1 = > ... A: I think what you want to do here is use factoring, not the quadratic formula. You have : ... | |
| Isosceles triangle | 10/21/2007 |
| Q: Two vertices of an isosceles triangle are (-5,4) and (3,8). The third vertex is on the x-axis. Find ... A: Okay let's start by labeling A(-5,4) and B(3,8). If the third vertex is on the x-axis, call it ... | |
| Geometrical progression | 10/20/2007 |
| Q: The first term of G.P is 4 and its fourth term is 0.5. calculate (A) the sixth term (B) the ... A: Okay, so the progression has a1 = 4 and a4 = 1/2. Since its geometric, the formula for the nth term ... | |
| Pre-Calc | 10/19/2007 |
| Q: Can you show me how prove that Cot(x) tan(x) ---------- + ------------ = 1 ... A: This one is not too easy, but I found a technique that works: Left side: cot x / (1-tan x) + tan ... | |
| trigonometry | 10/17/2007 |
| Q: sin(x)/(sin(x)+1)=(csc(x)-1)/cot(x)^2 A: Okay, let's work on the right-side: There is a pythagorean identity that goes 1 + ... | |
| Calculus | 10/17/2007 |
| Q: I actually have two questions: 1.Find two numbers whose product is -16 and the sum of whose squares ... A: 1. Okay, here, we have xy = -16 , so ly = -16/x or -16x^-1 Then we want to minimize S = x^2 + ... | |
| Find dy/dx | 10/16/2007 |
| Q: I don't fully understand how to differentiate this problem (solve for dy/dx). x+tan(xy)=0 A: Okay, you have to make use of the Chain Rule and Product Rule here. Also, you have to be sure, ... | |
| trig identities | 10/16/2007 |
| Q: I am having some trouble with a couple of identity problems. I appreciate any help I can get from ... A: Boy, #1 and #3 are pretty tough! 1. On this one, group things this way: sin(a+b+c) = sin(a + ... | |
| World Population | 10/15/2007 |
| Q: If the world population of 5.5 billion people were gathered together in one spot, how large an area ... A: Okay, a 2 ft by 2 ft square is 4 sq. ft. 4 sq. ft * 5.5 billion people = 22 billion sq ft. 1 mile = ... | |
| help please | 10/15/2007 |
| Q: rewrite each equation as a function of x. -3x + 4y = 11 A: Okay, all you want to do when you see the phrase " as a function of x" is to solve for y: ... | |
| using quadratic equations | 10/14/2007 |
| Q: Create a real-life situation that fits into the equation (x + 3)(x - 4) = 0 and express the ... A: How about something like this: The width of a garden is to be 1 meter less than its length. If the ... | |
| Simplifying trig statements. | 10/14/2007 |
| Q: I'm pretty stuck on some questions I've been given. The two main ones are, a) Simplify tanA(1+cos2A) ... A: Okay, let's see what we can do here: 1. Change cos 2a to 2cos^2 a - 1 using one of the double ... | |
| calculus | 10/14/2007 |
| Q: differentiation of parametric equations are suppose to be easy no? but what happens when the ... A: Okay, nothing to panic about here. It's just some algebra at the end of the solution that's ... | |
| Dot Product | 10/13/2007 |
| Q: All the texts I have read on the scalar product have defined it as: a dot b = |a||b|cos(theta) and ... A: Let me see if I can give you an example, and maybe that will clear it up. Let a = 3i + 2j b = ... | |
| Trig | 10/9/2007 |
| Q: can you please explain how to answer the following: x^2 + 2sinx = 2 A: The only way I know to solve this is graphically. There are some good online graphers which you can ... | |
| trig | 10/8/2007 |
| Q: How do you find the value of (cos45)? A: The easiest way is just to draw a right triangle with a 45 degree acute angle. Then the other acute ... | |
| inequalities | 10/8/2007 |
| Q: if an inequality in > or < 0 ... how do you solve it? EX: 5X < 0 or 2/3X - 4 > 0 ANSWER: ... A: It's somewhat similar, but with absolute values, you have to deal with positive and negative cases. ... | |
| Word problems | 10/8/2007 |
| Q: Data Sufficiency Please say whether the information in 1) and/ or 2)is enough to ... A: 1) Well, #1 alone is not enough. You will still not know the speed of the stream itself. You can ... | |
| Calculus | 10/8/2007 |
| Q: how do you find the differential of sec^2 x ^-raised to the power. our teacher taught us how to ... A: Well, if you don't mind, I'd like to show you a method that works every time when you have a ... | |
| locus of a variable point | 10/7/2007 |
| Q: if p(t + 1/t, t - 1/t) is a variable point, find it's locus is the question. what is the method to ... A: Well, like a lot of things, now that I see the answer, I think this is what they did: x = t + 1/t ... | |
| locus of a variable point | 10/6/2007 |
| Q: if p(t + 1/t, t - 1/t) is a variable point, find it's locus is the question. what is the method to ... A: Not much information here, but my guess is that you just allow t to take on integer values, ... | |
| inequalities | 10/5/2007 |
| Q: if an inequality in > or < 0 ... how do you solve it? EX: 5X < 0 or 2/3X - 4 > 0 A: Inequalities are solved pretty much like equations; the only new rule is : if you multiply or divide ... | |
| Implicit Differentation | 10/4/2007 |
| Q: I am having a really hard time trying to solve the equation x^3+y^3=18xy. It is an implicit ... A: Okay, by "solving" I assume that you are trying to differentiate it to find dy/dx, is that right? ... | |
| Locus of a Point | 10/4/2007 |
| Q: I need to find the solution to this problem: A point moves so that its distance from the point ... A: Okay, take a look at the vertical line x = -3. If a point is equidistant from y = 6 and from (-3,2) ... | |
| Trigonometry question | 10/1/2007 |
| Q: Could you explain the following problem. I'm not sure how to start. If the height of a rectangular ... A: Well, I'm not exactly sure what is meant by "a trigonometric equation", but here's what we've got: ... | |
| Trig | 9/30/2007 |
| Q: Could you please explain how to do this to me please. Thank you Solve for x between 0 <= x < 360 ... A: Just to follow up: the definition of csc x is csc x = 1/sin x Check out ... | |
| Adv. Maths | 9/30/2007 |
| Q: I've tried to solve this equation 3x2-2x-6=0 by completing by square but couldn't find a conclusive ... A: Okay, to complete the square here, let's first divide through the equation by 3: 3x^2 - 2x - ... | |
| elimination | 9/30/2007 |
| Q: how would u solve this by elimination? let / equal fraction x/5+y/3=3 and x/2-y-12=2 A: I think there's a typo here; I'm going to assume that the second equation is x/2 - y/12 = 2. (It ... | |
| sequence word problems | 9/30/2007 |
| Q: the book asks "find the first eight numbers in an arithmetic sequence in which the sum of the first ... A: Okay, let's remember that an arithmetic sequence has a common difference, d, between terms, and that ... | |
| integration | 9/29/2007 |
| Q: I cannot do this integration could you please help =INTEGRAL(2x((1-x^2)^(1/2))dx it would be ... A: Here, call 1-x^2 = u. Then du = -2x * dx, so in the integral, multiply inside and outside by -1: ... | |
| negative square roots | 9/29/2007 |
| Q: (t^3((1-t^2)^(-1/2))) i think you have to use integration by parts and substituation im not sure ... A: Okay, I think we've got this one down. The substitution you want is u = 1-t^2. Then t =(1-u)^1/2 ... | |
| Pre-Calculus- Inverses | 9/29/2007 |
| Q: This is one of the review problems of Pre-Calc: find the inverse of g: g(x)= x^2 + 2x + 3, when x is ... A: You've gotten a good start on this. Take what you have, expand the right, and complete the square ... | |
| Calculus 2 | 9/27/2007 |
| Q: show that the following integral [dx/(x+1)^3/2 + (x-1)^3/2] may be transformed in to the integral of ... A: Sorry this took so long; I just started a new teaching job, and the startup was crazy. Anyway, I ... | |
| Trig | 9/27/2007 |
| Q: Prove that (1+tan(t)^2)(cos(t)+sin(t))=(1+tan(t))sec(t). A: Well, I hope I have all these parentheses figured out. Let's see if I understand how its set up: ... | |
| how to solve a^b = b^a | 9/26/2007 |
| Q: can you advise on how to to solve the above question. I gave log to both sides but it got me running ... A: No great solutions here, but all I noticed is if you log both sides and get b log ... | |
| logarithms are hard | 9/25/2007 |
| Q: ok so here goes. i need help with writing this as a single logarithm. logb ... A: Okay, first, I'm going to leave out all the "b"s that are just subscripts. You can put it back in ... | |
| Integration | 9/25/2007 |
| Q: find the finite region in the postive quadrant bounded by the curve y =cos^3x and the curve y= ... A: Okay, so you have cos^3 x = sin^3 x . First, subtract sin^3 x from both sides to get: ... | |
| finding f(t) | 9/20/2007 |
| Q: How do you set up a function in terms of time for the following: "You are in a canoe 3 miles from ... A: I don't know that you need a system of equations, but what I don't understand is whether this ... | |
| Pre calculus | 9/20/2007 |
| Q: Below is what my book said: In this project you will find the points of intersection of the circle ... A: Well, I'll do what I can here, but I'm not sure how much help it'll be. This is an amazingly ugly ... | |
| Slice through a sphere | 9/19/2007 |
| Q: If I have a sphere of radius r. If I slice the sphere a distance x from the centre of the sphere I ... A: Okay, picture a sphere of radius r. Draw a segment x units long vertically up from the center of ... | |
| problem solving with quadratic equations | 9/18/2007 |
| Q: I have the answer but can't get the equations that will get me to the same place. 1. 3 consecutive ... A: 1. Okay, call the three even integers x, x+2, x+4. Then, you have : (x+4)^2 = (x+2)^2 +76 ... | |
| Math | 9/17/2007 |
| Q: if you would be able to answer the following questions it would be a big help. Thank you for your ... A: Okay, the conversions into ml are: Cream 50.5 Egg white 30.0 Vodka 1350.0 ... | |
| First Deriative Test | 9/16/2007 |
| Q: How would you find the stationary points of the function f(x)= 3+4x/1+x^2 which when using the ... A: Okay, all you want to do is set your first derivative = 0 The part of the numerator in the ... | |
| math | 9/15/2007 |
| Q: shilpa borrowed Rs 40960/- from the state bank of india at 12.5% per annum compounded annually on ... A: Well, this doesn't seem too realistic, because it doesn't mention anything about payments being ... | |
| Finding tan | 9/14/2007 |
| Q: Find the sin of an angle if the terminal side of the angle lies along the line y=-3x in quadrant II. ... A: I'm a little confused. The subject of your question says "finding tan" but the question is about ... | |
| Function Rules? | 9/13/2007 |
| Q: Okay I have no idea about function rules. I need to write one for this input-output table. x- 0 1 2 ... A: Okay, do you notice that the x's are getting bigger by 1 and the y's are getting smaller by 1 each ... | |
| Maths | 9/12/2007 |
| Q: A girl paddles her kayak upstream from her home to her friends home, taking 2.5 hours for the ... A: Okay, lets let her rowing speed in still water = x. Then upstream her speed is (x - 2.5) ... | |
| Inverse Functions | 9/11/2007 |
| Q: Calculus Inverse functions Steve, you did a great job in helping me in the past, please help me ... A: Okay, let's see if I can get through this without thoroughly confusing you. You're going to want to ... | |
| Plane Trigonometry | 9/11/2007 |
| Q: Solve the following trigonometric equations. Give all positive values of the angle between 0‹ and ... A: On #3, I can't make out what's in front of the "3" on the right side; its some weird symbol, so I ... | |
| arithmatic | 9/11/2007 |
| Q: g(0)=1,g(1)=-1;if g(n)=g(n-1)+g(n-2)then find the value of g(6)?(please give me answer with ... A: Okay, it looks like you are defining the terms in a sequence by what's called a recursive rule. ... | |
| future value of an annuity and sinking funds | 9/10/2007 |
| Q: find the amount of this payment made into a sinking fund to accumulate the following amount. ... A: Sorry about the delay--I just started a new job and got a little distracted. The formula you need ... | |
| Integration | 9/10/2007 |
| Q: How do I integrate ((1)/(e^2x)+1))dx A: I don't know what level this is at, but as far as I can see, it can't be done by elementary ... | |
| state the domain | 9/10/2007 |
| Q: I realize this might be easy for you but I am having a hard time in this class. Could you help with ... A: Okay, the sign you describe is indeed the square root sign. So the function you have is sqrt(x - ... | |
| Weight of a Cylinder | 9/9/2007 |
| Q: I have been asked the followingA cylinder is made of solid aluminum that has a unit weight of 165 ... A: Well, you've got the correct formula to use here. I'm not sure what the 14.5 has to do with ... | |
| Algebra | 9/8/2007 |
| Q: Suppose that the cost of a item, excluding tax, is x dollars, The algebraic expression 0.06x ... A: I'm not really sure what "expression" you are talking about evaluating here, but if its "0.06x", ... | |
| not a homework question but... | 9/7/2007 |
| Q: I am an adult, this is not a homework question but is a math question. I was thinking of this myself ... A: Okay, if you allow that digits can be repeated, that is, maybe someone has the SSN 888-88-8888, then ... | |
| fish pond | 9/7/2007 |
| Q: i have a fish pond that is 11 ft long ,5 ft 3 1/2 feet wide and 32 inches deep i would like to know ... A: Okay you have , in feet, the following dimensions: 11 ft by 5.3 ft by 2.67 ft Multiplying, you get ... | |
| Plane Trigonometry | 9/7/2007 |
| Q: Ok,i have this problem in my homework.But im not sure if its even an identity,if you can solve it ... A: Here, you want to make use of two identities: sin 2A = 2 sin A cos A cos 2A = 2 Cos^2 A - 1 So ... | |
| Rates | 9/6/2007 |
| Q: How would I determine the answer to the following? 4 chefs bake 8 pies in 6 hours. I want to ... A: Okay, I don't think I've seen much of this type of problem before, but I'll give you my thoughts on ... | |
| Plane Trigonometry | 9/5/2007 |
| Q: Solve the following oblique triangle. a=627.7,b=412.2,A=66*47' A: Okay, what we need is to set up the Law of Sines: Sin A / a = Sin B / b = Sin C / c ... | |
| Circle equation | 9/5/2007 |
| Q: This question is in reference to another question you already answered. Heres the link the the ... A: Its basically because you have to make sure you balance the equation out. By adding +1, then-1, I ... | |
| Plane Trigonometry | 9/5/2007 |
| Q: Simplify the following: sin(90°+ x) sin(180°+ x) + cos(90°+x) cos(180°- x) A: There are some shortcut formulas you can use to do this really fast, but I don't remember all of ... | |
| alg | 9/3/2007 |
| Q: When n is divided by d, the quotient is 40 and the remainder is 52. Give a possible pair pair ov ... A: Okay, let's think of it this way: Remember when you divide whole numbers, like 17 / 4, you say its ... | |
| Algebra 1 | 9/3/2007 |
| Q: HOW DO U FINE THE ABSOULTE VALUE OF [3/10] AND(-3.46). I DONT UNDERSTAND WAT TO DO A: Okay, what you want to do is think of absolute value as meaning how far the number is from zero on a ... | |
| trig | 9/2/2007 |
| Q: Simplify: a) tan2A-sin2A/tan2Asin2A b) cosx/1-tanx + sinx/1-(1/tanx) A: Okay, let's see what we've got here. a) First, lets break everything into sines and cosines: ... | |
| trigonometry | 8/31/2007 |
| Q: That earlier response was very helpful, thank you. However, I have come across a rather difficult ... A: Okay, some of these symbols didn't come through too well, so I'll go through this assuming that the ... | |
| trigonometry | 8/31/2007 |
| Q: I would appreciate it if you could please help me with this problem: "solve on the domain of real ... A: When you're asked to solve on the domain of real numbers, that means you have to work in radians. ... | |
| Calc 2 Differentiation of Logs | 8/29/2007 |
| Q: Find the derivative of: y = (X^4/4)(ln X) - (X^4/4) I'm having trouble with this one. I get an ... A: Okay, lets see... You need to use the Product Rule on the first part: y = (x^4 / 4)(ln x) - (x^4 / ... | |
| Proofs | 8/29/2007 |
| Q: Can you please help me withe following: Is it True or False and prove it: 1)A+BC=(A+B)(A+C) i ... A: You are right, #1 is false, because: (a + b)(a + c) = a^2 + ac + ab + bc and there is no way that ... | |
| Analysis of Functions | 8/28/2007 |
| Q: how do i graph a 450 degree angle? a -180 degree? A: Okay, always start with the initial side of the angle along the positive x-axis. For positive ... | |
| Pre-Calculus | 8/28/2007 |
| Q: For our AP Calculus summer review packet, one of the problems states "Find the exact value of the ... A: These are not hard to do, but they're really difficult to explain here, because you have to diagram ... | |
| Fractions | 8/27/2007 |
| Q: Here are two mixed numbers: 25 1/2 and 0.25 1/2. The fractions, 1/2, in 25 1/2 occupies the one ... A: I don't know where the first two assertions are coming from, but they are incorrect. As far as I ... | |
| long differentials question | 8/27/2007 |
| Q: im in an undergraduate first year calculus course, just stuck on a question in a text book, ... A: Good, you've got it set up right so far. Now, at t = 3, y = 65 + 3(1 ft/sec) = 68 ft ... | |
| advanced math problem | 8/26/2007 |
| Q: Q: solve the equation graphically in the given interval (radian) problems: sin x = 0.6 , 0¡Üx<2¦Ð ... A: Okay, since the directions specifically ask you to solve GRAPHICALLY, I'm going to assume you have a ... | |
| Joint variation but only 2 variables known. | 8/26/2007 |
| Q: If y varies jointly as x:z and 9x:5=3y:8z , find the value of y when x=10 and z=2. How do I answer ... A: Hey, you're doing great if you're only 14 and working on this material!! It's not simple, but its ... | |
| long differentials question | 8/26/2007 |
| Q: im in an undergraduate first year calculus course, just stuck on a question in a text book, ... A: Hey, they sure gave you a winner early on in the course! Actually, its not as difficult as they ... | |
| Maximum surface area for a cube | 8/20/2007 |
| Q: Here's a good one for you, which I hope it's in your area of expertise. What is the maximum surface ... A: The problem here is that once you fix the volume, you automatically fix the surface area, because ... | |
| function rules | 8/18/2007 |
| Q: how do you write a function rule for which f(-5)=2 ? A: Well, I think that you could come up with MANY functions so that f(-5) = 2. (I'm hoping that is what ... | |
| Vector notation | 8/17/2007 |
| Q: I am presently (re)learning vectors for the purposes of programming. In the sites I've looked at ... A: The main way I've seen this done is using the unit vector notation, where i the the unit vector in ... | |
| Absolute Value | 8/15/2007 |
| Q: Can you help me find the absolute value of b+2 < -1? Thanks. ANSWER: Hi Emjade, Well, you can ... A: Hey Emjade, Okay, I'm assuming this is not an absolute value. First, subtract one from each side: ... | |
| Absolute Value | 8/15/2007 |
| Q: Can you help me find the absolute value of b+2 < -1? Thanks. A: Well, you can do this one of two ways. The first, and easiest, is to notice that the RESULT of an ... | |
| Roots | 8/14/2007 |
| Q: Can you help me find the roots of 2x^2-5x+1=0? A: The easiest way to do this is to use the quadratic formula: x = [-b +/-sqrt(b^2 - 4ac)] / ... | |
| Percent | 8/13/2007 |
| Q: I would like to know how to calculate this: O (representing Original Amount) X 20.5% = 3271.58 How ... A: Okay, we have: O * 20.5% = 3271.58 First convert the percent to a decimal: ... | |
| Trigonometry | 8/12/2007 |
| Q: How do I prove this identity? sin(x)/1-cos(x)-1+cos(x)/sin(x)=0 A: Usually, when doing these verifications, if there are separate fractions on one side of the ... | |
| Math | 8/11/2007 |
| Q: I'm having some difficulties with these couple of questions. I'd appreciate any help. Thanks in ... A: Well, I can be of only partial help here. This first part is way too involved for me to try to ... | |
| math | 8/8/2007 |
| Q: How to transform general equation of a circle to standard form? A: Okay, let's do this by an example. You have to "complete the square" in both x and y. Let's say we ... | |
| Conics | 7/25/2007 |
| Q: I heard a difficult conics question the other day adn I was wondering if you could explain it to me. ... A: Well, we have that a= 48 (major axis), b = 23 (minor axis) and the equation for the focal distance ... | |
| Precalculus | 7/19/2007 |
| Q: Solve for x to the nearest thousandth: (e^2x)-(6e^x)+5=0 A: You want to write this as a quadratic: e^2x - 6e^x + 5 = 0 (e^x)^2 - 6e^x + 5 = 0 ... | |
| Trigonometry identity | 7/18/2007 |
| Q: Hey! Please help me with if you can. I cant seem to figure it out. How do I prove the identity of: ... A: Well, since the right hand side has some "not very nice" functions, I decided to work there: (sex ... | |
| Conics | 7/18/2007 |
| Q: I heard two interesting conic questions the other day and was wondering if you could explain them to ... A: Well, I don't know what the figure looks like, so I'm just going to try this the way I would do it. ... | |
| grade eleven math troubles | 7/17/2007 |
| Q: okay so i have a couple questions my teacher gave us a take home summative and we're allowed to use ... A: On the first one: For the nature of the roots of a quadratic, all you have to look at is the value ... | |
| Algebra | 7/16/2007 |
| Q: I have a simple algebra problem that I can't figure out. Please help. If (x-1)(x^2-4) + ... A: We just need to use a little "trickery" on the left side. If you notice, the two terms on the left ... | |
| Math | 7/16/2007 |
| Q: How would one go about figuring out the equation Let f(x) = 62 + 35log(x represent the percentage of ... A: Well, I don't know how realistic this model is, but here's what I found: Since x represents the ... | |
| Math | 7/16/2007 |
| Q: I was curious, Can the graph of a rational function ever cross a vertical asymptote? and in the same ... A: A rational function's graph will not cross a vertical asymptote ever, because the function is ... | |
| Polynomial and Rational Functions | 7/16/2007 |
| Q: I'm having a lot of difficulties with these three questions. Thanks for your help! 1. Is 2/3 a zero ... A: Okay, let's see what we can do here. 1. There's a quick way to answer this one. If you check out ... | |
| maths subject | 7/16/2007 |
| Q: I am trying to find out the name of a particular mathematics subject. But I do not know what it is ... A: I think the branch of math you are discussing is known as "Sequences and Series". Within this ... | |
| trigonometry proofs | 7/14/2007 |
| Q: how do you prove the following tan x + tan y + tan z = (tan x)(tan y)(tan z) A: The problem here is that you don't. This is not an identity. Identities have to be true for ALL ... | |
| Rates | 7/12/2007 |
| Q: If two water pipes are 3 feet long, but one of them has a 1 foot diameter and the second one has a 1 ... A: Well, the only way I know to approach this is in terms of volumes. If the pipes are 3 ft long, then ... | |
| Prime Numbers & Fractions | 7/10/2007 |
| Q: Can a fraction be a prime number? If not, why, and if none are prime numbers, are they considered ... A: As far as I know, prime numbers are defined to be positive integers, that is, positive whole ... | |
| volume of a slice | 7/7/2007 |
| Q: what is the radius of the circle formed when a plane cuts a sphere of radius 23 and distance 10 from ... A: Okay, I'm assuming that we are slicing with a plane that is perpendicular to a radius. If so, then ... | |
| Feet / second/ mi/ hr ???????? | 7/1/2007 |
| Q: I am having trouble evaluating this equation. 44ft/s x 1 mi/5280 ft x 3,600 s/h. I would appreciate ... A: Well, it looks like a conversion from ft per sec to miles per hour. You want it set up so that the ... | |
| Rates | 6/30/2007 |
| Q: Here is myIf 4 cooks can bake 8 pies in 6 hours, 2 cooks can bake how many pies in 4 hours? If ... A: I think you want to approach this one like this: 4 cooks--> 8 pies--> 6 hr so 4 cooks--> 8/6 = 4/3 ... | |
| math | 6/28/2007 |
| Q: 1) e^lnx=5 2)the naumber N of bacteria in a culture is given by the model N=200e^kt, where t the ... A: 1) This part is real easy, because anytime you raise e to a "ln" power, the result is just what ... | |
| trigo | 6/26/2007 |
| Q: 120 135 150 210 240 sin cos tan csc sec cot A: I assume you just want the values filled in. 120 135 150 210 ... | |
| Trigonometry | 6/24/2007 |
| Q: Solve for x sin (x) = 0.34 x A: The only way I know of to solve an equation like this is by a graphical method. If you have ... | |
| Formula | 6/21/2007 |
| Q: 1.Suppose you are given a formula R=s+2t.If you know that s is three times greater than t, how could ... A: There's just one small item here that could cause trouble. It's the phrase "s is three times ... | |
| functions | 6/19/2007 |
| Q: Steve, the question reads "Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. ... A: First of all, thank you for all the nice comments you have made. It is truly appreciated. I'm ... | |
| math | 6/18/2007 |
| Q: How would I find the dimensions of a rectangular region with maxium area that can be enclosed by 100 ... A: Okay, if we lay out a rectangle, let's call the width "x". So then for the two width pieces, we've ... | |
| math | 6/18/2007 |
| Q: Can you show me how to figure this out? Thank you,,,,, A city block 500 feet has a large building ... A: Okay, since the building is centered on the block, there are 100 feet on each side of it, in both ... | |
| math | 6/18/2007 |
| Q: How would I set up a true table for the follow and put it in symbolic form? Money causes all the ... A: I'll be the first to admit that truth tables are not my strongest suit, but I'll give you a good ... | |
| common and natural logarithms | 6/17/2007 |
| Q: Steve, I am having a hard time calculating and plotting the following functions: Exponential ... A: For the first one, y = e^2, you just have to realize that e^2 is a constant (about 7.4), so you are ... | |
| math | 6/17/2007 |
| Q: To chart the movement of a polar bear, scientists attached a radio transmitter to its neck. Two ... A: This will not be easy to diagram, but we'll give it a try. In the first situation, we have something ... | |
| Algebra | 6/16/2007 |
| Q: Given the following values 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, x, and y, form: * A linear equation ... A: Wow, I'm REALLY confused here. I'm not even sure what the question is. Are you supposed to use ALL ... | |
| logarithmic functions | 6/15/2007 |
| Q: Does a logarithmic graph have a y intercept? Thanks A: Like a lot of other questions about math, the answer is "it depends". A basic graph, like y = log x ... | |
| Financial maths | 6/15/2007 |
| Q: I am wondering how you calculate the future value of a series of monthly deposits with interest ... A: What you are discussing here is the Future Value of an Annuity. If we let P = the regular payment ... | |
| Annoying Word Problem | 6/7/2007 |
| Q: If water costs .50 cents a bottle, soda pop cost $3.00 a bottle, and beer costs $10.00 a bottle. How ... A: Yeah, I can see where this would be annoying. The cause of the annoyance is that there are three ... | |
| pre calculus | 6/5/2007 |
| Q: prove, by induction, that 2 + 7 + 12+...+(5n-3)= 1/2N(5N-1) A: Okay, so we have to show two things: I. The proposition is true for n = 1 II. Assuming its true ... | |
| word problem | 5/31/2007 |
| Q: A folksinger held a concert. Tickets were $7 and $9. 219 people attended the concert, for which the ... A: The thing to remember about this type of problem is that there are two kinds of information to be ... | |
| volume problem | 5/29/2007 |
| Q: A circular can has a height equal to its diameter and holds one liter a) What is its height? b) ... A: First, let's call the diameter d and the radius r and the height h. So then, d = 2r and h = 2r. ... | |
| probablity | 5/29/2007 |
| Q: i have three dice. what is the probabilty of of all coming up even? Waht i the formula used? Thanks ... A: Okay, so we're rolling three dice, and we want P(even,even,even). For any one of the dice, ... | |
| Math Combinations | 5/28/2007 |
| Q: I have a book that features 100 different exercises. And each 'workout' let's you choose only 8 of ... A: I think I understand your question, but I'm not sure you're going to like the answer. All you ... | |
| a weird question | 5/27/2007 |
| Q: If x^2 + px + q = 0, what is (p^2)/q if one root is five times the other? A: To do this, I made use of a couple of obscure results about quadratic equations: For any quadratic ... | |
| algebra | 5/27/2007 |
| Q: 1. Let the sequence {an} be defined recursively by: an=6a(n-1)-9a(n-2), a1=0,a2=9. Use Strong ... A: Let's see what can be done here. I had to do some research on #2, as I had not seen the Euclidean ... | |
| Fraction question | 5/24/2007 |
| Q: I'm trying to get the right size speaker for my car. The measurement's go by top depth mount for ... A: OK, 1.15 = 1 and 15/100 = 1 3/20 " to be exact. Now, the closest approximation would be 1 5/32 = ... | |
| Functions | 5/24/2007 |
| Q: domain of function sqrt(cos(sinx)) sqrt= square root of A: This is a tricky one. Okay, remember that we are always in radian mode for this following ... | |
| Functions | 5/24/2007 |
| Q: f(x)=cos(logx) then f(x).f(y)-1/2 {f(x/y) }+f(xy) has the value A: I hope I interpret your notation correctly. I'm not sure how that little "box" got in there between ... | |
| calculus | 5/23/2007 |
| Q: what is 2sin#t+3cos#t where # is theta and t=2. how do you solve it plz. A: I'm a little confused here. I understand the expression you've written, but there's nothing here to ... | |
| rounding a number if not specified to round or not | 5/22/2007 |
| Q: A school states that a student graduating with a 3.75 or better will get an award. If my GPA is ... A: Mathematically, I agree with your interpretation, but ultimately its up to the policy of the school. ... | |
| compound interest | 5/22/2007 |
| Q: Could you please tell me how much the final amount would be if 1,053,000. was compounded weekly for ... A: Well, it all depends on what the interest rate is. I can't give you an exact answer unless I know ... | |
| Pre-calc | 5/22/2007 |
| Q: determine the coordinates of any holes for the function: x^2 + 4x - 21 y= ---------------- ... A: For rational functions like this one, a "hole" will show up for the x-values which make BOTH the ... | |
| Pre-calc | 5/21/2007 |
| Q: 1. solve for all values of x l3x-11l = 4 ^ (absolute value) 2. solve for all values of x ... A: For the first question, on absolute value problems, I always encouraged my students to break the ... | |
| Mathematics query | 5/21/2007 |
| Q: Find A and B in terms of x and/or 'd'x. For qu 1 i definitely need help. I am not sure where nor how ... A: Okay, on part 1, this limit is a basic trig limit that comes up in calculus. Since it just asks ... | |
| math qu | 5/21/2007 |
| Q: (i)Find the coordinates of the centre and the radius of the circle x^2+2x+y^2-4y=4 (ii)by writing ... A: You are fine on part (i). For part (ii), the only thing I can see is that you are to make the ... | |
| induction-algebra | 5/19/2007 |
| Q: Can you show me how they are done? 1. Use induction to prove that for any real number ... A: Well, maybe the reason you are really stuck is because I can't see how the first of these can be ... | |
| math query | 5/17/2007 |
| Q: Find the values of m,n E R for which the system of equations x+2y=1; 2x+my=n (a)possesses a unique ... A: You certainly have the understanding of the problem correct for each of the cases. As far as ... | |
| "log" problem | 5/17/2007 |
| Q: hey Mr.! I don't get how to do this.. Find ... A: Well, almost. There's a formula to change bases on logarithms. For example, if you have to find ... | |
| Pre-algebra | 5/15/2007 |
| Q: What is the formula for a parallelogram, a triangle, and the suface area of a prism? A: Well, I'm not sure what formulas you are looking for when you ask about the parallelogram and ... | |
| Single-Variable Optimization Problem | 5/14/2007 |
| Q: I've been developing this model on my spare time and am trying to optimize t wrt the angle x. I've ... A: Well, I've done this out, and I cannot see how to get a solution for dt/dx = 0. I came out with a ... | |
| Pre0Calclus | 5/14/2007 |
| Q: A rectangle is inscribed in a circle of a diameter 33 in . Express p the perimeter of the rectangle ... A: Okay, this won't be so bad. If you call the length L and the width W, then when you inscribe the ... | |
| ???? | 5/14/2007 |
| Q: I saw this question on a message board: X-Y=5 X^+2 Y^2 = 15 What is the value of XY? It occurs ... A: Well, your interpretation which gave you -5 as the solution is the correct one. Its basically a ... | |
| iNTEGRATION | 5/13/2007 |
| Q: How do I find the integral from 2 to 0 of the square root of 4x-1 dx A: I think the problem here is that the function is undefined on the interval you are noting. Sqrt(4x ... | |
| algebra 1: mixture problems | 5/11/2007 |
| Q: sliced turkey costs $3.20 per pound. Roast beef costs twice as much, and ground beef costs half as ... A: Well, I'm just wondering if you're sure you phrased the question correctly. After all the ... | |
| Sets | 5/9/2007 |
| Q: is this right? Let X = {2,4,6,...,20} and let A,B and C be subsets of X given by A = {2,4,14,18}, B ... A: Well, to put it briefly, Yes. For intersection, you look to see what the sets have in common: A ... | |
| Maximum and Minimum Problems | 5/9/2007 |
| Q: Find a positive number such that the sum of this number and its reciprocal is a minimum? A: Let's call the number in question x and the sum S. Then we have : s = x 1/x = x = x^-1 So, ... | |
| polar coordinates | 5/9/2007 |
| Q: change these rectanglular equations into polar equations y=x^2 x^2-Y^2=1 change these polar ... A: The conversion equations you need are : x = r cos theta y = r sin theta x^2 + y^2 = r^2 theta = ... | |
| trig question | 5/8/2007 |
| Q: can you help me show that cos3x = 4cos^3x - 3cosx thanks. A: Okay, to do this, we'll use the addition formula for cos(A+B), the identity cos 2x = 2 cos^2 x - 1, ... | |
| 4 number combinations | 5/8/2007 |
| Q: What are all the possible 4 number combinations of numbers between 0-9? ANSWER: Hello Emily, ... A: Yes, you are correct. I was not aware that you wanted to be allowed to repeat digits within a ... | |
| Intercept of Two circles | 5/7/2007 |
| Q: I have a project where I need to be able to find the intercepts of two circles. I am given the ... A: Unfortunately, I know of no such solver, but that doesn't mean that there isn't one out there. ... | |
| precalculus | 5/7/2007 |
| Q: use the formulas for lowering powers((1-cos 2x)/2) to rewrite the expression in terms of the first ... A: I've been away for a couple days, so that's why it took so long to get back to you. I think I've ... | |
| Intercept of Two circles | 5/7/2007 |
| Q: I have a project where I need to be able to find the intercepts of two circles. I am given the ... A: I'm not real sure why your latitude parentheses are in the form (y + lat1)^2. The basic form for ... | |
| Pre-Calc | 5/6/2007 |
| Q: This was a question that i am having problems with. Ineed to show work. Thanks The graph of y=secx ... A: I'm not too sure where to go here--is the question looking for another trig graph, or just ANY ... | |
| volume of partial pyramid | 5/6/2007 |
| Q: is square in shape, is 10 feet deep, and has sloping sides down at 1:4. I also need to calculate ... A: I think I understand your description here. However, I am a little confused by the 1 : 4 downward ... | |
| 4 number combinations | 5/5/2007 |
| Q: What are all the possible 4 number combinations of numbers between 0-9? ANSWER: Hello Emily, ... A: Hey Emily, Okay, we've got to be REAL careful about language here. The number I gave you, 210, is ... | |
| 4 number combinations | 5/5/2007 |
| Q: What are all the possible 4 number combinations of numbers between 0-9? A: Actually, this is a non-answer answer. The way the question is stated, you want to list all the ... | |
| Maths question | 5/5/2007 |
| Q: In how many ways can 79$ be paid exactly using only 5$ bills and 2$ coins? A: Okay, seems to me the easiest way to do this is to make a table. I suggest something like listing ... | |
| future value of an annuity/sinking funds | 5/4/2007 |
| Q: use this formula: FV= PMT [(1+i)^n - 1)/i] i=r/m, where r is the annual rate and m is frequency of ... A: I'm assuming the "n" in the formula is the total number of compoundings which are taking place. If ... | |
| logarithims and exponents | 5/4/2007 |
| Q: please listen this is a project and i solved arond 10 pages and these are the questions i faced some ... A: Okay, let's see what we can accomplish here. (Q#2) Since the equation is in the form y = a * e^bt, ... | |
| help | 5/4/2007 |
| Q: I need to solve this problem using long division: 2x^2-19x over 2x-5 A: Okay, this is not going to be too easy to set up, but let's see if I can work something up. First, ... | |
| Plane Trigonometry | 5/4/2007 |
| Q: Can you help me in solving these three Ttrigonometrical Problems ? a) Write the equivalent ... A: Okay, let's see what can be done here. A) For the first one, you want to isolate the term with the ... | |
| logarithms | 5/3/2007 |
| Q: I need help writing -2log3(1/x)+(1/3)log3(square root of x) as a single logarithm. Thanks! A: Okay. what we want to do here is use the properties of logarithms. Specifically, we need these: ... | |
| trignometry | 5/3/2007 |
| Q: 1)tan 105 degrees 2)sin 105 degrees Find the exact value? A: The trick here is to use the Addition Formulas and to break down the 105 into angles that you can ... | |
| calculus | 5/2/2007 |
| Q: integrate e^-x^2 A: I don't know what level of calculus you are working on. My experience is in single-variable ... | |
| Sum of Infinite Series | 5/2/2007 |
| Q: I wanted to know how to go about solving this infinite series problem by hand. I've never ... A: Well, this makes two of us who have never encountered this type of problem before!! The only thing ... | |
| non-associative mathematics | 5/2/2007 |
| Q: Can you give me any examples of mathematical entities that do not obey the associative law? (A*B)*C ... A: Well, I can't think of any that I've dealt with over the years. By "entities", I'm assuming you ... | |
| Finding the value of a trig. function? | 4/30/2007 |
| Q: I'm confused as to how to find the value of the (5) other trig functions when given the following ... A: I'm going to use "A" instead of "pheta" because its easier for me, ok? In the first question, since ... | |
| Locus of a point | 4/30/2007 |
| Q: I am having trouble describing the locus of a point. Can you help? For example from the equation xÙ2 ... A: I'm hoping I interpret your equation correctly. You want to group the x and y terms on the left and ... | |
| Square Roots | 4/23/2007 |
| Q: I am in the 10th grade and have a great understanding about mathematics. Is there any way of finding ... A: I'm not sure what you mean by "an exact square root" here. The square root of any perfect square ... | |
| math combinations | 4/20/2007 |
| Q: Steve: Can you tell me how many combinations there are for numbers 1-999, in sets of three, as in a ... A: This is a straightforward combinations calculation. You are interested in finding the combination ... | |
| Trignometry/Pre Calculus Question | 4/20/2007 |
| Q: What is the value of x, if: 2cosX= 1 + sin X A: To solve this one, you have to make use of an algebraic "trick", because there is no way to deal ... | |
| modern geometrics | 4/19/2007 |
| Q: hai sir, can you solve this question for me? i expected it will out in exam, thank you sir.. the ... A: I'm not really sure what you want to know here. You state that the circle has a radius of 1, then ... | |
| Algebra questions | 4/18/2007 |
| Q: I was just wondering if you could check my answers for me in one question and help me out with ... A: Boy, it took me a while to get through this!! It's been awhile since I've done a lot of vector ... | |
| Calculus | 4/18/2007 |
| Q: I have the question for the graph f(x)=x^3-x^4 How do i find its intercepts, range, cusps/corners, ... A: Okay, first of all, the intercepts are the easy part: To find the y-intercept, set x = 0 : ... | |
| factoring | 4/18/2007 |
| Q: factor 2x^3+11x^2+5x=0 A: When you do your factoring, ALWAYS look to take out a common factor first. Here, we can factor out ... | |
| Algebra (Graphing points) | 4/17/2007 |
| Q: I have a problem that I have the answer to, but was hoping you could tell me how I get the points? ... A: Well, I'm about to join the rest of the others--I can't ever recall using the simplex method to do ... | |
| need u help to solve a calculus question.. | 4/17/2007 |
| Q: hallo sir, im from a university student in malysia and taking calculus, i have a big problem to ... A: Okay, let's see here, if the function you give, C(x) = x^3 - 20x^2 + 2000x is the cost of making x ... | |
| conic sections | 4/15/2007 |
| Q: consider the three points (0,0), (1,1) and (2,4) 1. determine the equation of a parabola that passes ... A: Wow, there sure is a lot to do here!! Okay, let's see what we can do. 1. Using the y = ax^2 + bx + ... | |
| H.S. Equations and Inequalities? | 4/14/2007 |
| Q: I have some questions in my H.S. workbook. Maybe you can tell me if my answers are correct. My ... A: Well, this certainly is a lot of questions! All I would ask if you return in the future is that you ... | |
| plzzzzzzzz answer me very soon.... | 4/13/2007 |
| Q: my questions are about discreate mathematics Determine whether the given relation defined on the set ... A: For the first part of your question, its been too many years since I did abstract algebra, and I ... | |
| Expressing numbers | 4/13/2007 |
| Q: Greetings. If I have a report that is showing numbers in millions, can you tell me what the ... A: If these numbers are expressed as millions, then to get the actual number, you would move each ... | |
| synthetic division | 4/11/2007 |
| Q: I'm lacking the common logical aspect to answer these questions: #1 Using syntheic division, Solve ... A: 1. Okay, we need the Rational Root Theorem here. It says that IF a polynomial has rational roots, ... | |
| combonations | 4/9/2007 |
| Q: What is the formula to figure out how many possible different combinations of 6 numbers there are ... A: The combination formula goes like this: The number of combinations of "n" items "r" at a time is ... | |
| calcuclus limit | 4/7/2007 |
| Q: limit as x goes to zero of (e^x-cos(x)-2x)/(x^2-2x) and how to solve it A: Okay, this looks like a candidate for using L'Hopitals Rule. This first thing you ever do when ... | |
| dif of cubes | 4/6/2007 |
| Q: probly easy, but I'm getting confused.... x^3-1=0 A: Yes, you're right--it is easy, BUT only if you know the factoring pattern. Factoring a difference ... | |
| Precalc/Trig | 4/1/2007 |
| Q: I'm falling behind in Precalc a bit, and I need some guidance on the following problems: a.) ... A: Okay, let's see what we've got here. 1. If you multiply the numerator out, you get: csc^2 x ... | |
| differential calculus | 3/31/2007 |
| Q: given y=x to the x (xcaretx) differentiate. By putting 1 in the d/dx one should get 1. I don't get ... A: The greatest integer function is always a cause of consternation for students, but unfortunately it ... | |
| differential calculus | 3/30/2007 |
| Q: given y=x to the x (xcaretx) differentiate. By putting 1 in the d/dx one should get 1. I don't get ... A: Okay, to do this (and, believe it or not, its easy!), we will need to use the chain rule. I'm not ... | |
| differential calculus | 3/29/2007 |
| Q: given y=x to the x (xcaretx) differentiate. By putting 1 in the d/dx one should get 1. I don't get ... A: Okay, what you've got to use here is a technique called logarithmic differentiation. You use this ... | |
| Y=3 | 3/27/2007 |
| Q: 3 Y - Y= A: Well, first let me say that I really don't know what the question is here. In the subject line you ... | |
| math problem | 3/26/2007 |
| Q: is my reasoning correct? solve for x: 2^2x-3(2^x)-4=0 2^x*(2^x)-3(2^x)-4=0 2^x(2^x-3)=4 ... A: Well, you did get the correct solution, but I don't think you want to use this as a general method, ... | |
| Algebra | 3/26/2007 |
| Q: Could you please help me with a problem, there is a few steps and I am not sure if I am understand ... A: Okay, lets take these one at a time. For the solution by augmented matrix, you want to create a ... | |
| Geometry | 3/23/2007 |
| Q: I have a problem where it gives you a area and a diagonal of a rhombus, and they want to know the ... A: Yes, we can get this done, and its not that difficult. First, lets go over some ideas we need: * ... | |
| quadratic formulas | 3/22/2007 |
| Q: When slam-dunking, a basketball player seems to hang in the air at the height of his jump. the ... A: Well, I'm not really sure that I fully understand whats going on here, but let me give it a try. ... | |
| Trig Problem | 3/21/2007 |
| Q: I need to know how to do a problem, and I don't even know where to start :( sin(theta)=9/10, theta ... A: I'm going to use A instead of theta here, because its easier to write. Okay, to get started, ... | |
| Question | 3/19/2007 |
| Q: I tried to find someone on here who can answer questions about geometry, but unfortunitly the one ... A: Okay, I think I can help with this one. Basically we are dealing with a Volume issue here. The ... | |
| Calculus I | 3/17/2007 |
| Q: Steve I have two(2)- QUESTIONS. I have tried repeatedly to work out these problems for the last ... A: I hope I can do this clearly for you--its not too easy without being able to diagram it. But let's ... | |
| math interest and bal of investment | 3/16/2007 |
| Q: $100,000 invested earning 5% interest per year. withdrawling $9456 from this $100,000 per year for ... A: Actually, from the info you've given, I think the fastest and easiest way to do this is just to use ... | |
| side of a cube/word problem | 3/16/2007 |
| Q: Find the length of the side of a cubic box whose volume is 80 cubic feet. I'm pretty sure the ... A: You are right about the formula, and the problem is not as hard as you may think. The saving grace ... | |
| algebra | 3/16/2007 |
| Q: I have a few questions I am hoping you can help me with. Thank you for all your help, it is greatly ... A: Okay, let's see if I can do these clearly enough. 1. The easiest way to think of composition , ... | |
| little bro's math Q | 3/14/2007 |
| Q: i need to find the function that works for each equation. when n=10 c=20 when n=20 c=35 when n=30 ... A: Well, I'm going to assume a couple things here, since you don't give me too much info to go on : ... | |
| Calculate life insurance policy interest | 3/13/2007 |
| Q: Steve: I have watched my life insurance policy decrease in value and I questioned them on how they ... A: Well, I'm not going to be a whole lot of help here. I don't know what type of insurance you're ... | |
| college algebra | 3/13/2007 |
| Q: preform indicated operations and simplify: x/x+2 + 1/x-3 - x^2-2/x^2-x-6 A: Okay, since you're combining fractions here, you want to find the common denominator, or LCD. ... | |
| trig identities | 3/10/2007 |
| Q: I have been trying to figure this problem out... how do i prove this identity? ... A: This is a real winner. The only way I could get this to work out is to first use the factoring for ... | |
| log. word problems | 3/10/2007 |
| Q: I hate word problems and I need help. The problem readsA company is considering two ways to ... A: To tell you the truth, I don't know of too many people who LIKE word problems!! Anyway, I think we ... | |
| Mega Millions | 3/9/2007 |
| Q: How many 6-number combinations are possible with ping pong balls numbered 1~56 for the first 5 ... A: Well, I can help with the first part for sure. Since it doesn't matter which order the balls come ... | |
| complex numbers | 3/9/2007 |
| Q: how do you factorise x^6 + 64? A: Here, you want to use the factoring of a sum of cubes: A^3 + B^3 = (A+B)(A^2 -AB + B^2) Since x^6 ... | |
| pre-calc help! | 3/8/2007 |
| Q: ! I need some help.. write an equation of the sine function with each amplitude, period and phase ... A: Alright, let's see, what we want is to fit the information into the general sine or cosine equation ... | |
| Help!!!!!!!!!!!!!!!!!!!! | 3/6/2007 |
| Q: I usually understand math but this problem, I just don't comprehend. Genreal:Intresr A bank offers ... A: Hey, no need to panic here, this will work out fine. What we need to note is the formula for ... | |
| Differentiating an Equation | 3/6/2007 |
| Q: For my chemical engineering homework assignment, we were given an equation we need to differentiate ... A: Well, I think I know what you're asking, but I have to admit, I'm a little lost with all the ... | |
| Radius- Based off knowing velocity | 3/5/2007 |
| Q: Steve, Stuck on this questiona and would appreciate any and all help. I have a piece of ... A: Just some definitions first: the rotation of any point on the spool is its ANGULAR velocity. The ... | |
| Logarithmic values | 3/5/2007 |
| Q: I have a column of values which are log10. How can I work out what those values were before being ... A: I hope I understand you correctly. Any log expression which is written "log N" without a base being ... | |
| Litres To Mass | 3/3/2007 |
| Q: What is 243 120 Litres in kilograms A: We're a little out of my area here, as this is really a science question, since there's more ... | |
| quadratic | 2/28/2007 |
| Q: Please help me solve these..if you can. choose a value for k so that the equation 5x^2-10x+7=k ... A: Okay, this should not be too tough. Remember in the quadratic formula, the part thats under the ... | |
| Finding Integrals | 2/27/2007 |
| Q: I am trying to find the integral of xarcsinx dx I know you would do it by parts but am stuck. ... A: Okay, first, I'm sorry it took me awhile to get back to you, but its been awhile since I've used ... | |
| polynomial | 2/27/2007 |
| Q: apolynomial in x has degree 3 and has roots at x=2, x=-3 and x=3. the value of the polynomial is 56 ... A: This is not as difficult as you might think. Any time you know the roots of a polynomial, you then ... | |
| verifying identities | 2/26/2007 |
| Q: how would you solve these two identities step by step? 1. (sec X/ sin X)-(sin X/ cos X)=cot X 2. ... A: 1. Working on the left side of this one, first let's get a common denominator: sin x * cos x. ... | |
| algebra-exponent | 2/26/2007 |
| Q: HEy can you help me solve this one: "if 2 raised to 6.5 = a 3 raised to 7.5 = b what is 6 ... A: Okay, lets try this: 6^9.5 = (2 * 3)^9.5 = 2^9.5 * 3^9.5 = [2^(6.5+3)] * [3^(7.5+2)] = [2^6.5 * ... | |
| question | 2/25/2007 |
| Q: ---PROBLEM--- Suppose that a disc was thrown from point C and lands at point D. Instruments for ... A: You're doing great! and you're right on the money for finding CD. The Law of Cosines DOES apply ... | |
| need financial formula | 2/23/2007 |
| Q: I have been reading a book on retirement. It has a chart which shows how long your nest egg will ... A: I have to be honest here, I really don't know of any one formula that would produce what you're ... | |
| rational expression | 2/21/2007 |
| Q: carminia can hand embroider a table cloth in 9 days while jennifer can do it in 12 days. in how many ... A: You can solve many of these "work" problems using the same method we're going to go through here. ... | |
| linear programming | 2/21/2007 |
| Q: tat helped a lot...some more queries...is problems involved with linear programming solved like how ... A: Harini I'm afraid my knowledge of linear programming doesn't extend too much further than what was ... | |
| Calculus | 2/20/2007 |
| Q: I have already received help on this, I just cannot e-mail the person back. I was wondering if you ... A: Okay, I've got some answers for you, and I believe they're correct ones (that would be nice, right?) ... | |
| linear programming | 2/20/2007 |
| Q: could you pls tell me what linear programming is all about? where do we use them in real life? does ... A: Linear programming is a graphical method of solving problems involving a quantity to be maximized or ... | |
| rabbits | 2/19/2007 |
| Q: there are some rabbits and some rabbit hutches. if seven rabbits are put in each hutch, one rabbits ... A: Okay, lets do this: H = # of hutches R = # of rabbits. "If seven rabbits are put in each hutch, ... | |
| Improper Integral | 2/18/2007 |
| Q: Is it true that: (integral of x between negative infinity and 1) - (integral of x between 0 and ... A: Okay, this is not exactly my specialty either, but to the best of my recollection, when you break an ... | |
Advanced Math
Answers by Expert:
Steve Holleran
Top Expert on this page
Expertise
I can help with all math questions from basic math to Calculus. Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.
Experience
33 years teaching experience in NJ public schools
Education/Credentials
B.S. Mathematics : Wake Forest University 1972
M.S. Mathematics : Monmouth University 1981
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