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About Robi Bhattacharjee
(Top Expert on this page)

Expertise
I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.

Experience
I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).

Organizations
I am in the San Diego Math Circle

Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.

   

You are here:  Experts > Science > Mathematics > Advanced Math

Questions Answered By Expert  Robi Bhattacharjee 
In Category  Advanced Math

SubjectDate Asked

MATHEMATIC7/20/2009
  Q: WHAT ARE THE ADVANTAGES OF USING CRAMERS RULE
  A: The Cramers rule is that it can be done with essentially no thought at all. It is perfect for things ...
partial differentiation7/14/2009
  Q: If ycosx= e( to the power x), show that d2y/dx2 - 2 tan dy/dx - 2y=0 i tried to work it out and i ...
  A: ycosx = e^x so use implicit differentiation to find dy/dx. So dy/dx*cosx - ysinx = e^x So dy/dx = ...
Trig7/2/2009
  Q: I am trying to prove the following: sin(3x)=sin(x)(3cos^2(x)-sin^2(x)) Solving the RHS side I have ...
  A: All of your steps are correct. However, for the final step you have to be a bit clever. ...
homework help!!6/22/2009
  Q: State the exact value, in simple radical form : (NO DECIMALS !!) 6. sin 225° 7. tan 3π/4 ...
  A: These questions come directly from the unit circle. They will all be much easier if you consult the ...
solid geometry6/16/2009
  Q: The curved surface area of a cylinder is 24/7 times the total flat surface area(top+bottom).If the ...
  A: Let the radius of the cylinder be r Let the height of the cylinder be h So using our geometry ...
advanced math- demand equation6/13/2009
  Q: Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 ...
  A: The first step with word problems is to get rid of the words. We do this by extracting all of the ...
Need to find coordinates of intesection on an ellipse wall whenl ine from the center intersects it.6/8/2009
  Q: I am trying to write a VBA program that will find the coordinates of the intersection of a line that ...
  A: I'm sorry for such an incredibly late answer. I had bunch of finals to take. Anyways, from what I ...
i can't get it out6/6/2009
  Q: A curve has equation y= sinx/x x>0. All turning points of satisfy a) xsinx - cosx = 0 b)xcosx + sinx ...
  A: Just solve for x in each of those equations. a. xsinx - cosx = 0 so xsinx = cosx so x = cotx. You ...
qubic feet formula4/26/2009
  Q: how can we find the cubic feet of wooden box when the internal size of the box is known prefered a ...
  A: First, I would need to know the width or thickness of the wood. Also, I need to know the dimensions ...
problem solving4/16/2009
  Q: in AD 1054 chinese astronomers observed the light from a supernova in the night sky. This supernova ...
  A: Well, light travels at one light year per year hence the name light year. So, in order for us to see ...
problem solving4/11/2009
  Q: discuss how the continuity equation and bernoulli's equation might relate to one another?
  A: This is a nice question, but it isn't exactly a math problem. The continuity equation is a partial ...
agent 007.54/9/2009
  Q: A box-shaped building is 240 feet high, 54 feet wide along its north face and 46 feet deep along its ...
  A: For this question, to find the shortest path, what you do is "unfold the building so that its four ...
Product of functions4/1/2009
  Q: I am having trouble with this question, I wonder if you can help: Sketch the graphs of f and g on ...
  A: Basically, use radians for sin(x). So the sin will reach its peak at x = pi/2 rather than 90 ...
calculus3/30/2009
  Q: How do I find the x-intercepts for the following equation: g(x)=x^1/3 (x+3)^2/3? I need them in ...
  A: Well, you have the equation x^(1/3)(x + 3)^(2/3) = 0 So either x^(1/3) = 0 OR (x + 2)^(2/3) = ...
evaluating functions by comparing rate of change3/29/2009
  Q: I am trying to figure out what the question is asking for in the following: Evaluate the functions ...
  A: Well, I would say that you are right overall, but you have a few problems. First, if the math ...
algebra3/26/2009
  Q: I am studying for a test and am having trouble working a review question. the original problem is ...
  A: Well, follow through my algebra and see if you understand each step. sqrt(2x + 7) = 1 + sqrt(x+3) ...
word problem3/22/2009
  Q: 1. if the price of gasoline increase by 25% and Ron intends to spend only 15% more on gasoline, by ...
  A: 1. Well, if the price goes up by 25%, Ron will have to pay 125/100 times as much as usual or rather ...
Quadratic Word Problems3/20/2009
  Q: I'm having trouble with 2 questions: 1. A margin x inches wide is drawn on a book cover measuring 12 ...
  A: I will set up the equations for both problems. As an exercise, you should solve those equations. So ...
advanced math3/19/2009
  Q: To find the reciprocal of a positive number a, one must solve for x in: (1/x)=a or (1/x)-a=0. Create ...
  A: Well, newtons method is basically Xn = X(n-1) - f(X(n-1))/ fprime(x(n-1)). So since the derivative ...
MATHS3/17/2009
  Q: Can you please calculate the dot product of each of the following pairs of vectors, and also state ...
  A: My apologies for such a late answer. As for your questions, I think that I will just do one general ...
Problem3/16/2009
  Q: find the exact value of tan pi/12 I do not know how to solve this problem so can you please solve ...
  A: I'm so sorry for taking so long. It has been quite a hectic week. Anyways, you will have to use the ...
plane trigonometry3/15/2009
  Q: solve the following oblique triangle: a=134.2, b=84.54, B= 52 degree 9' 11"
  A: Well, to solve this problem, you will have to use the law of sines and the law of cosines. sinA = ...
please i`m in neeed of your help!3/12/2009
  Q: I am really in need of your help. I don`t understand this question what so ever, and i think you may ...
  A: I guess that I cannot then on this question since I'm not sure I understand what breaking even ...
Mills & Decimal Rates3/10/2009
  Q: I read the following in an old business mathematics textbook: "Express 13 mills as a decimal part of ...
  A: 0.013 dollars as a decimal part of 1.00 is basically representing what fraction as a decimal it is. ...
problem solving that uses quadratic formula3/8/2009
  Q: i have no problems with using the quadratic formula, but i just couldn't equate this problem ...
  A: Well, suppose that the width of the border is x. Then, the dimensions of your mural will be (15 - ...
question3/6/2009
  Q: prove that (101)^50>(100)^50+(99)650
  A: Well, you know that (101)^50 = (100 + 1)^50 = 100^50 + 50*100^49 +... + 1 by the binomial formula. ...
Probabilities3/4/2009
  Q: list consists of p positive and n negative numbers. if a number is picked randomly,the probability ...
  A: To solve this problem, a systematic approach is your best bet. You know there is a total of p + n ...
Math Problem2/22/2009
  Q: I am a 6th grade student and cannot solve this math equation and would like your help. Thanks ...
  A: Hey Matt, For this kind of question, there is no definite way of doing it. Sometimes you just see ...
Work2/19/2009
  Q: A 144lb bag of sand is lifted at a constant rate. At 18ft half the sand is gone. How much work has ...
  A: I'm assuming that sand is leaving the bag at a constant rate. So the amount of sand at a given ...
Percentages2/11/2009
  Q: I saw this solution in an old mathematics book. I cannot understand how the solution to the answer ...
  A: You are correct. The best way is to divide 16 by 4%. However, they are trying to explain how to do ...
trig identies2/2/2009
  Q: a non right triangle: tan(a)+tan(b)+tan(c) =tan(a)tan(b)tan(c) I need guidance on proof. Not sure ...
  A: tan(a) + tan(b) + tan(c) = tan(a)tan(b)tan(c) LHS= tan(a) + tan(b) - tan(a+b) since c+a+b=pi ...
Limit1/31/2009
  Q: show that the equation X + tan(X) = 1 has at least one solution in [0,π/4]
  A: Well, let f(x) = X + tan(X) - 1. So solving for f(x)=0 will be the same thing as solving for X in ...
factoring exponetials1/22/2009
  Q: my son was asked to factor x^4^m - y^4^n he has looked in his book and we have tried several ways to ...
  A: x^4^m can be written as (x^a)^4 for some a. Take an example. let m = 3. Then x^64 = (x^16)^4. ...
intermediate algebra1/20/2009
  Q: I have no idea on how to answer the following question. Please help. Select any imaginary ...
  A: Well, let's just pick a complex number to start with. Let's pick 1+i since that is one of the more ...
Pre-calculus help1/17/2009
  Q: I do not understand how to solve: 2 cos^2 x = 13 sin x - 5 given that 0 </= x < 2pi. Thank you very ...
  A: Well, I won't show you how to do the whole thing, but I will give you a nice hint. You know that ...
systems of equations in three variables1/11/2009
  Q: -9x-2+10z=72 -3x-5y+3z=-8 -5y=-5
  A: I generally don't answer homework questions. If you could show me that you have made some effort on ...
Trigonometry + radians?12/19/2008
  Q: I've been puzzling over a section of problems for a while and can't figure it out. The instruction ...
  A: Well, it seems to me that you may need to have a little extra help from your teacher after school. ...
Implicit Differentiation of Trig Functions12/14/2008
  Q: I need help implicitly differentiating cos(x+y) + sin (x-y) = 0 @ y' = (pi/4, -pi/4). There is ...
  A: Well, first of the point (pi/4, -pi/4) is not on the curve cos(x+y) + sin(x-y) = 0. Did you mean to ...
probability12/11/2008
  Q: The directions say find the area of the indicated sector(s). Find the probabilty of spinning the ...
  A: Well, you don't need to find the area of the sectors. You just know that the spinner has to land in ...
Trig12/10/2008
  Q: I was wondering if you could help me find the exact value of the six trigonometric functions for ...
  A: Hey Steph, Well, the first thing you do is convert this to something that is between 0 and 360 ...
Determine Interest Rates12/8/2008
  Q: Can you determine the answers to the following question by using a simple calculation? An investor ...
  A: Note that I am assuming the interest rates have to be integers. If they don't have to be integers, ...
Math12/7/2008
  Q: Proof that x(y+z)=xy+xz
  A: Well, think of it like this. xy + xz is the same thing as y*x + z*x. Now when you do y*x, what you ...
Math Question.12/5/2008
  Q: A woman earns 10% more than her husband. Together they make $56070 per year. What is the husband's ...
  A: Sorry for the extremely late reply. This has been a hectic week since my computer crashed. ...
Trigonometric Functions12/3/2008
  Q: Provided, I am given the radians: pi/4. The function is in secents. I know that the degrees should ...
  A: Sorry for the extremely late answer. My computer went down and I had a real hectic week. Anyways, ...
Determine Interest Rates12/1/2008
  Q: Can you determine the answers to the following question by using a simple calculation? An investor ...
  A: Hey Kenneth, This problem can be done in two ways. One way is guess and check, the other is ...
Geometry/Advanced Mathematics11/30/2008
  Q: do you have any formula in which you can identify how the minute hand and hour hand interchange? ...
  A: This is a very complicated question. You don't need a formula to solve this question. You only need ...
SOLUTION TO POWER11/29/2008
  Q: hOW TO SOLVE "n" IN equation: R = 1-(1-C)^n Tried to raise to power but got "lost"
  A: For these kinds of equations, you must be familiar with logarithms. If you aren't, you should learn ...
math in mind11/26/2008
  Q: There are some people who can multiply 8 digits with another 8 digits in their mind. Also I have ...
  A: Well, there are tricks to do multiplication, but for 8 digit numbers, it is very difficult with ...
Application of Disk/Washer System11/24/2008
  Q: What are the real life applications of the disk/washer integration system to find volume in ...
  A: This is a very intelligent question! To answer it, there are indeed many real-life applications to ...
Fibonacci numbers11/21/2008
  Q: How do Fibonacci numbers work? Could you walk me through a real number example? I'm having trouble ...
  A: Well, the easiest way to learn fibonacci numbers is through an example. So 1,1,2,3,5,8,13,21,... is ...
Regarding pi11/19/2008
  Q: I read that pi is an irrational number (number whose digits are never ending). I was wonder how is ...
  A: Good question. The reason that it is possible is because being irrational does NOT mean that it is ...
Algebra 211/18/2008
  Q: I am working on inverse functions. I have to find the inverse function of P(x) = 4 times [cube ...
  A: y = 4(8x+3)^(2/3) + 25 (y - 25)/4 = (8x+3)^(2/3) ((y-25)/4)^(3/2) = 8x + 3 x = -3 + ...
Proofs11/10/2008
  Q: Let a and b be elements of the set of integers. Prove that if a^2+b^2 is equivalent to 0(mod3), then ...
  A: Well, basically we have to prove that it is impossible to have a congruent to 0 while b isn't. So ...
Proofs11/8/2008
  Q: Let a and b be elements of the set of integers. Prove that a^3 is equivalent to a(mod3)
  A: Let us take this in two cases. Case 1: a = 0 (mod 3). Well, if 3 divides a then 3 also divides a^3 ...
Discrete Mathematics11/2/2008
  Q: Chapter 7- Linear Programming Write the constraints as linear inequalities and identify the ...
  A: When it says not more than, what it means is less than or equal to. Conversely, when it says not ...
Discrete Mathematics10/27/2008
  Q: Chapter 6- Systems of Linear Equations and Matrices Use the coding method to encode the message. ...
  A: I'm afraid that this is a problem that you will have to figure out on your own. I don't think that ...
Continuous compounding10/26/2008
  Q: Can you please tell me how to enter the following problem on a financial calculator: 2ln(1+.1/2) ...
  A: Your calculator should have a button that says ln. Most scientific and graphing calculators do. So ...
Discrete Mathematics10/24/2008
  Q: Systems of Linear Equations and Matrices Determine whether the given matrices are inverses of each ...
  A: 1 1 2 -10 (1*2 + 1*-1) (1*-10 + 1 *10) 1 0 .1 .2 * -1 10 = (.1*2 + .2*-1) ...
Discrete Mathematics10/23/2008
  Q: could you help me with this question. Thanks Chapter 6- Systems of Linear Equations and Matrices ...
  A: I'm afraid that using Gauss-Jordan Method for this problem would be very difficult for me to show ...
consecutive integers10/17/2008
  Q: find four consecutive integers such that three times the third, decreased by the second, is the ...
  A: Suppose that the smallest integer of the four is x. Then the integers will be x, x+1, x+2, x+3. So ...
Math10/15/2008
  Q: Ca you help me with this? . A drug company is considering manufacturing a new product that has two ...
  A: Hey Jalisa, I cannot draw a venn diagram on the internet due to obvious reasons, but I can answer ...
Area10/13/2008
  Q: I came across this question when looking through this book. How do you find the area of a do ...
  A: For this question, it is best to start with one center point in the middle. Next, if you connect it ...
Functions and slope-intercepts10/11/2008
  Q: Can you please help with these? I would greatly appeciate it. 1) True or False - The following ...
  A: I usually don't answer so many questions at a time, but I'll make an exception. Just know that ...
math proof10/7/2008
  Q: How to prove Fx1 = FX1Cos Theta + FY1Sin Theta and Fy1 = -FX1Sin Theta + FY1Cos Theta? The question ...
  A: Sorry for the late response, I've had a lot of work. This statement is not true, so it cannot be ...
math10/6/2008
  Q: 2^n=52 what is the way to calculate n?
  A: There is a way to calculate n. In order to do this, you have to be familiar with the logarithm. ...
natural log10/4/2008
  Q: how do I calculate (ln4)^2 thank you
  A: To calculate (ln 4)^2, the only way to do this is with a calculator. Most calculators have the ...
Distance, Rate, and Time10/2/2008
  Q: Bob Rodriguez, the Albany, NY sales representative for Advanced Drafting Software, Inc., must attend ...
  A: For this question, simply find the total time taken. For the train, the total time would be total ...
maths9/28/2008
  Q: PLEASE HELP!!! How do you rewrite an expression as a power of a given number? e.g 16 to the power ...
  A: You would first write the number as a power, and then raise it to the other number. Check out this ...
maths problem!!9/28/2008
  Q: . just need your help answering this question.. the question is a trapezium has an area of 25 cm ...
  A: The formula for area of a trapezoid is (b + t)/2 * h = 25. Now the h = 5 since that is the height. ...
Trig Interval9/26/2008
  Q: f(x) sin(2x-3)-1/2x+1 where x is in radians show that there is a root alpha of f(x) in the interval ...
  A: Sorry for the late reply, I haven't gotten much time lately. To show that there is a root in between ...
SAT math9/25/2008
  Q: The expert can't answer your question. Your Question was: Hey Robi I need your help again! Page ...
  A: Sorry about the confusion, Since there are p positive and n negative, the probability of a positive ...
Centroid of a isoscel triangle in polar coordinates9/24/2008
  Q: I have a circle of radius R. I want to divide this circle in 12 identical isoscel triangles, of ...
  A: This problem proved to be challenging so I took a long time to get it. I think that your easiest ...
Permutation Problem9/24/2008
  Q: Suppose you have members of six families which each consist of a mom, a dad, and a kid. How many ...
  A: So, you have 18 people in six families and you have 18 chairs. You want the members of each family ...
discrete mathematics9/23/2008
  Q: Prove by mathematical induction that SQRT(2)/2 + SQRT(3)/4 + SQRT(4)/6 +...+ SQRT(n+1)/2n > ...
  A: For this problem, it is obvious that the case n = 1 works. Now all we have to do is that assuming it ...
Angle of Elevation9/22/2008
  Q: Students are trying to determine the height of a tower. Mark is standing 7m away from Susan and ...
  A: For this problem, you can set up two equations and have two variables. Let x be the height of the ...
find p9/21/2008
  Q: If p is an integer and 3 is the remainder when 2p+7 is divided by 5, then what value is p? I got 4 ...
  A: It said that when 2p + 7 is divided by 5, it leaves a remainder of 3. This means that it will ...
find p9/20/2008
  Q: If p is an integer and 3 is the remainder when 2p+7 is divided by 5, then what value is p? I got 4 ...
  A: For these kinds of problems, it helps to use an equation. So 2p + 7 is congruent to 3 mod(5). In ...
Integers9/20/2008
  Q: If x is an integer greater than 1 and if y=x+(1/x), which of the following must be true? I. y≠ ...
  A: Great problems! For this question, the easiest way to approach it is to try to prove each thing ...
Integration9/20/2008
  Q: Integral of (x^2-1)/(x^2-16)
  A: Calculus is one of my all-time favorite subjects and I always find a nice question interesting. ...
geometry9/19/2008
  Q: i need help with the following questions: if the length of each edge in a cube is increased by the ...
  A: For the first question, assume that it was an x percent increase. Also, you can assume that the ...
GRE9/19/2008
  Q: An enterprise has a value of 10 - 20millions. If they give shares worth 100$-1000$ to all their ...
  A: For this question, you find the average amount of employees. So 10 million divided by 100 is 100000. ...
math9/18/2008
  Q: We have a span of deck railing. It is 39" from 2x4 to 2x4. We have spindles that are 1 3/8" wide and ...
  A: I'm not really much of a carpenter of any sort so I'm not sure what you mean by 2x4s and spindles. ...
parabola9/17/2008
  Q: there's a graph to this question, but i don't know how to draw it here so i'll try my best to ...
  A: I'm terribly sorry for taking so much time to answer. I've had a lot of work lately. For sideways ...
Logic9/17/2008
  Q: 1)(LOGIC) At a party there are 2 more men than women. If 4 men were to leave and 2 women were to ...
  A: On question two, it is asking what you know for certain, not what might be true. This means that the ...
SAT Math9/17/2008
  Q: For what integer value of x is 3x+5>11 and x-3<1?
  A: I'm terribly sorry for answering this late. I've just had a lot of work lately and haven't really ...
equations with square roots9/16/2008
  Q: square root (x^2-t^2) = 2t-x If x and t are positive numbers that satisfy the equation above, what ...
  A: For this problem, you have to play around with it a bit. So sqrt(x^2 - t^20) = (2t - x) This means ...
integers9/16/2008
  Q: If x is an integer and 2<x<7. How many different triangles are there with sides of lengths 2, 7, x? ...
  A: For this problem, you have to take into consideration the fact that any two sides of a triangle MUST ...
help9/16/2008
  Q: You are the cleverest person I don't know so riddle me this if you will... How can i make 5, 6, 6, ...
  A: For this problem, you just have to think about ways to make four. Now the first thing I thought of ...
Logic9/14/2008
  Q: 1)(LOGIC) At a party there are 2 more men than women. If 4 men were to leave and 2 women were to ...
  A: Good questions! For the first question, the best way to do it is to set up equations. Let m be the ...
SAT math9/14/2008
  Q: Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in ...
  A: For this question, the best way to do it is to think about time. You know that she takes one hour ...
SAT math9/14/2008
  Q: In the xy-plane, the equation of line l is y=2x+5. If line m is the reflection of line l in the ...
  A: When you reflect lines over the x axis, all you have to do is change the y to a -y because ...
SAT math9/13/2008
  Q: What is the midpoint of the line segment described by (1,4) and (3,7)? I don't know how they got the ...
  A: To find the midpoint of a line segment, what you do is find the midpoint of the x coordinates and ...
logarithm sequences9/12/2008
  Q: "Describe how to obtain the third answer in each row from the first two answers" a)log[base7]49, ...
  A: For a) you notice that 7 is 7^1 and 49 is 7^2. This means that the third term should have base 7^3 ...
logarithm bases9/10/2008
  Q: how do you find the nth term in this logarithm sequence: log[base 2]8, log[base4]8, log[base8]8, ...
  A: Well basically, you notice that each term in this sequence is pretty much the same except for the ...
finite math9/10/2008
  Q: A three digit number is formed using the digits from {1,2,3,4,5,6} How many such numbers are ...
  A: Well, here are the solutions. 1) Well you can have 6 different first digits, 5 different second ...
math question9/9/2008
  Q: Using the numbers 2,4,9,6,7,3, Digits appear only once in an answer. each answer may not use all ...
  A: I'm not too sure what you are asking, but I will answer the question I think you are asking. If you ...
General Form of the equation of the circle9/8/2008
  Q: I was reading your post on the standard form of a circle and I think I got that but I am having ...
  A: It would basically look like this. (x-0)^2 + (y-0)^2 = 4^2 which is basically x^2 + y^2 = 16. Now ...
algebra9/8/2008
  Q: A college dormitory houses 210 students ,This fall ,rooms are available for 76 freashmen .On the ...
  A: Since 95% of those who ask get one, they should have 76/95*100 = 80 students apply. This is because ...
Solving9/8/2008
  Q: 1. 3x + 2y= 6 2. y= 3/2x + 1 ANSWER: Hello Antonia, This is a good question. Basically, you ...
  A: Oh, sorry, I misunderstood. Anyways, in this case I'm not sure what you are asking. Do you want me ...
Maths9/7/2008
  Q: i need the formular to work out the diagonal length of a rhombus if the base is 56m and the height ...
  A: It is impossible for a rhombus to have a base of 56 and a height of 59. This would mean that it has ...
mathematical rules9/6/2008
  Q: I have heard of scientific theories and mathematical rules and I was wondering if there is any ...
  A: Nice question. The difference between a rule and a theory is basically that a theory explains ...
Spherical Trig?9/5/2008
  Q: This article appeared in National Geographic. Could you please tell me how the trig calculation was ...
  A: I'm not sure I understand what they did either. It seems that they didn't really even try to explain ...
math9/4/2008
  Q: write each number in expanded form using exponents. 1. 56,240,135,010 2. 907,002,920
  A: 56,240,135,010 = 0*10^0 + 1*10^1 + 0*10^2 + 5*10^3 + 3*10^4 + 1*10^5 + 0^10^6 + 4*10^7 + 2*10^8 + ...
Volume9/3/2008
  Q: Not if I have targetted the right person, but would appreciate your help. Salt absorbs water I ...
  A: I'm not sure if Salt absorbs water. I think that salt dissolves in water. Also, I'm afraid you've ...
equations9/3/2008
  Q: i need help solving this math equation with the rule being as follows. suppose=2x-2.5. Find x if ...
  A: 2x - 2.5 = 10 2x = 12.5 x = 6.25 4x + 10 = 22 4x = 12 x = 3. Basically for each problem, just ...
Trigonometry9/2/2008
  Q: i want to know the formula to calculate the area of contact of a circle touching a flat ...
  A: It is a great question. The answer is, the area will be zero. The pipe will only touch the ...
Derivative9/2/2008
  Q: I'm having trouble with one of my math problems and the answer is not in the back. Can you help? ...
  A: I must say that this definetly is a challenging question. So in order to do this problem, you have ...
algebra9/1/2008
  Q: a half-acre building lot is five times as long as it is wide. what are its dimensions? Note: 1 ...
  A: Half of an acre is 21780. So let its width be w. Then the area will be 5w * w = 5w^2 = 21780 so ...
mathematical induction9/1/2008
  Q: I need to prove by induction that 5^n+3 is divisible by 4 for all nЄZ+
  A: Great question! Well in mathematical induction, you first verify it works for n = 1. So 5^1 + 3 = 8 ...
Trigonometry word problem8/31/2008
  Q: A billboard is 20-ft, the bottom of which is 15-ft off the ground. There are two areas on the ground ...
  A: I understand now what you mean. For the first two questions, you are very correct when you say that ...
Puzzle I cant solve8/28/2008
  Q: Victims of a shipwreck were lost at sea. Due to strong waves th ey were all soon separated. Search ...
  A: Nice puzzle. Well lets say that there were x survivors. SO after x/6 of them were found, 5x/6 ...
Grade 9 math8/28/2008
  Q: Write the ratio of the number of vowels to consonants in the word "oxymoron" Consider y to be a ...
  A: Basically, there are 4 vowels counting y and 4 consonants. SO the ratio of vowels to consonants is ...
trig problem8/28/2008
  Q: i have to prove how these two trig formulas are equal could you help? (Cot(x)-1)/(Cot(x)+1) = ...
  A: This seems about right and I have solved it. Take the right side and start simplifying. 1- sin2x ...
trig problem8/27/2008
  Q: i have to prove how these two trig formulas are equal could you help? (Cot(x)-1)/(Cot(x)+1) = ...
  A: Great question!! I also had a hard time with this question. Now, I just realized something, this ...
Geometry8/26/2008
  Q: I'm having a problem understanding the theory behind determining if a set of coordinates lies with a ...
  A: I must say this is very interesting. I found many ways of doing this, but one of the ways seemed the ...
finding the nth term in a sequence8/20/2008
  Q: what is the nth term for the following sequence? and please eplain. 2 4 16 256
  A: The following sequence seems to square each time. Observe that 2 squared is 4, 4 squared is 16, and ...
Trignometric Proof8/19/2008
  Q: I have a problem with a trignometric proof. I tried my best but can not be able to prove. Can you ...
  A: You could start at the left side of this equation and start simplifying, but that would be hard and ...
hyperbola8/9/2008
  Q: i was wondering if you could please put the hyperbola -4x^2 + 9y^2 - 32x +90y +17 = 0 in ...
  A: -4x^2 + 9y^2 - 32x + 90y + 17 = 0 -4x^2 - 32x + 9y^2 + 90y = -17 -4(x^2 + 8x) + 9(y^2 + 10y) = -17 ...

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