You are here:
- Home
- Teens
- Homework/Study Tips
- Calculus
Calculus/Questions Answered by Expert Ahmed Salami
| Subject | Date Asked |
| An inequality question | 12/6/2011 |
| Q: Your company needs to temporarily hire a programmer to work on a project. Two proposed payment ... A: In the first scheme, the pay in dollars <b>P1</b>= 1000 + 20<b>h</b> where <b>h</b> is the number of ... | |
| calculus | 11/24/2011 |
| Q: a]Express f(x)=x^2-6x+14 in the form f(x)=(x-h)^2+k,where h and k are to be determined. b] Hence, ... A: For a quadratic form x² + kx, we complete the square by adding (k/2)² and then factorising as (x - ... | |
| Calculus help | 11/10/2011 |
| Q: Hai sir, good day. I tried doing this question, but i can't solve it. Can you please guide me how to ... A: x² + 4xy - y² = 8 Differentiating with respect to x 2x + 4(xy' + y) - 2yy' = 0 2x + 4xy' + 4y - 2yy' ... | |
| Logarithmic Functions | 11/4/2011 |
| Q: A manufacturer determines that the supply function for x units of a particular commodity is S9x)=ln ... A: S(x) = ln(x+2) D(x) = 10 - ln(x+1) There is market equilibrium when S(x) = D(x), i.e ln(x+2) = 10 - ... | |
| Getting wrong root for an equation | 11/3/2011 |
| Q: y=sqrt(abs(x)) and y=(x+5)/6. If I solved this problem for intersecting point through squaring on ... A: By squaring both sides you get abs(x) = (x+5)²/36 You need to realise here that; abs(x) = x for x > ... | |
| simulteneous equation | 10/18/2011 |
| Q: find the sum of two numbers whose sum is 2 and their product is 2 A: If the numbers are x and y, then we can form the equations; x + y = 2 and xy = 2 We can now ... | |
| Limits tending to infinity | 10/11/2011 |
| Q: lim x->0(x/x)=1. What will happen when I do like this...lim x->0(x)lim x->0(1/x)=?( Is the answer 1 ... A: You need to understand that 0 and ∞ in the study of limits have indeterminate values. They ... | |
| Calculus and derivatives | 10/8/2011 |
| Q: The output at a certain factory is Q (L)=600L^2/3 units, where L is the size of the labor force. The ... A: When changes in variables are small we can use the linear approximation formula; Δy ≈ ... | |
| Pre-calculus | 9/22/2011 |
| Q: Q1:Suppose the Sunglasses Hut Company has a profit function given by P(q)=-0.03q^2+3q-33, where q is ... A: For the profit function P = -0.03q² + 3q - 33, the marginal profit function; dP/dq = -0.06q + 3 The ... | |
| Related Rates | 6/29/2011 |
| Q: At what rate is soda being sucked out of a cylindrical glass that is 6 in tall and has a radius of 2 ... A: The volume of a cylinder, V = πr²h where r is the radius and h is the height. When soda is ... | |
| Calculus | 5/31/2011 |
| Q: Can you please help me with the following question? Thank you in advance! :) I greatly appreciate ... A: Let x be the size in excess of 35 of the group. This means that each person pays $(60 - x) and there ... | |
| Sinusoidal Modeling | 5/6/2011 |
| Q: A biological variable z has period of 24 hours and varies sinusoidally between the values 5 and 9. ... A: The general sinusoidal expression is of the form; z = Asin(wt + φ) + D where A is the ... | |
| Calculus: Distance | 4/6/2011 |
| Q: Given that the position of a particle is found by x(t)= (t^3)-(6t^2)+1; t>0, find the distance that ... A: Well, distance is a scalar and so we do not consider the direction in which it takes place but only ... | |
| math | 3/19/2011 |
| Q: A weather balloon with radius 9m. Springs a leak, losing air at a rate of 171 pie m^3 /min. Find the ... A: Initial volume of balloon = 4π(9)³/3 = 972π After 4mins, it has lost volume of air equal ... | |
| calc | 3/7/2011 |
| Q: your have a box with a square base, suppose there is no top (only 5 faces) if the volume must be 32 ... A: Let the length of the square base be x and the height be h, then the surface area of the box is A = ... | |
| Using Limits to find Tangents | 2/13/2011 |
| Q: I was wondering if you could help answer thisIf y = 3x^2 - 4 and a tangent line exists along this ... A: y = 3x² - 4 has a slope function dy/dx = 6x which means that at any point the slope of the tangent ... | |
| vcalculus | 1/20/2011 |
| Q: Find the average value of the function on the given interval; f(x)=e^x/4,[0,9] the textbook answer ... A: In calculus, the average value of a function f(x) in the interval [a,b] is the definite integral of ... | |
| calculus | 1/20/2011 |
| Q: Find the value of the given function on the given interval; f(x)= e^x/4,[0,9]. Can you show me step ... A: I take it you mean f(x) = (e^x)/4 and not f(x) = e^(x/4) The expression [0,9] in basic terms means ... | |
| Points on lines and circles | 1/9/2011 |
| Q: This one question on my online homework assignment has been puzzling me for a while. I have attached ... A: a) The length of the dotted line from the origin to the point Q(x,y) is 2, the radius of the circle. ... | |
| Critical Numbers | 12/2/2010 |
| Q: Determine the critical number(s) of the function f(x)=2xlnx. Please show all work so ... A: f(x) = 2x.lnx We find the derivative using the product rule. The derivative of 2x is 2 and for lnx ... | |
| Maths | 11/30/2010 |
| Q: I am doing this maths module at this university. 1. 4 in-class tests, of which the best 3 will ... A: I'm afraid that based on your results you currently only have a score of about 14.87%. But of course ... | |
| calculus | 11/30/2010 |
| Q: Find the value of x for which the given function is increasing and those values of x for which it is ... A: A function is increasing when its derivative is positive and decreasing when the derivative is ... | |
| Trigonometry(Math) | 11/23/2010 |
| Q: Ahmed, Mr.Scotto gave me the following answer which I have uploaded and right now i want to ... A: I totally understand your concern. The period of the sinusoidal function i've written is 364 and not ... | |
| Trigonometry(Math) | 11/23/2010 |
| Q: Ahmed, Mr.Scotto gave me the following answer which I have uploaded and right now i want to ... A: First of all, your question didnt say anything about 09:17 and 04:35 being maximum and minimum rise ... | |
| Calculus | 11/12/2010 |
| Q: Consider a car shock absorber modeled by the equation h(t)=e^-0.5t sint, where h(t) reperesents the ... A: Well, from a practical point of view, the vertical velocity should be maximum at t = 0 and should ... | |
| Calculus | 10/28/2010 |
| Q: Could you please clarify the answer to this: ... A: Yes. You need to find the derivative of the cost function, and then equate to zero to get the ... | |
| Calculus | 10/27/2010 |
| Q: Find the rate of change of the surface area of a sphere when the radius is 3ft and the rate of the ... A: The surface area of a sphere of radius r is given by A = 4πr² Differentiating both sides with ... | |
| Pre-Calculus | 10/27/2010 |
| Q: The volume of an enclosed gas (at a constant temperature) varies inversely as the pressure. If the ... A: Since volume V varies inversely as the pressure P, then V α 1/P V = K/P where K is a constant ... | |
| Maximizing and Minimizing | 10/25/2010 |
| Q: A company has set aside $4000 to fence a rectangular portion of land adjacent to their building ... A: Let the two sides have length x and the parallel side have length y (in feet). The parallel side ... | |
| complex numbers | 10/18/2010 |
| Q: Write down the inequality abs(z+3-i)larger or equals to abs(z+i-3i) in cartesian form. I don't ... A: The complex number z is written in cartesian form as z = x + iy The modulus (or magnitude) of z is ... | |
| calculus | 10/13/2010 |
| Q: Find all values of x where the tangent lines to x^8 and x^9 are parallel. A: We just need to find the values of x where the lines y = x^8 and y = x^9 have the same slopes, ... | |
| Trig/ Pre-Calculus | 10/5/2010 |
| Q: I need to find the y-intercept of the line y=2x+b so that the line is tangent to the parabola ... A: The slope of the line y = 2x + b is always 2. The slope function of the parabola y = x² - 6x + 6 is ... | |
| series and sequences | 10/2/2010 |
| Q: If a population of A* PEOPLE GROWS AT A CONSTANT RATE OF R% PER YEAR,THE POPULATION AFTER T YEARS ... A: The formula for the total population after t years is given by P = A(1 + r)^t For r = 2% = 0.02 P = ... | |
| Optimization | 10/1/2010 |
| Q: Suppose that the sum of the surface area of a sphere and a cube is a constant. (a) Show that the ... A: The sum of their volumes is greatest at the only other turning point. The equation dV/dr = 0 yielded ... | |
| Optimization | 9/30/2010 |
| Q: Suppose that the sum of the surface area of a sphere and a cube is a constant. (a) Show that the ... A: The surface area of a sphere with radius r, S(r) = 4#r^2 where # represents pi The surface ... | |
| Formal definition of the limit problem | 9/21/2010 |
| Q: 1. The problem statement, all variables and given/known data prove the statement using epsilon delta ... A: From 1 < x < 3, 2 < 2x < 6 and 1 < x² < 9 Therefore, 1+2+4 < x² + 2x + 4 < 9+6+4 7 < x² + 2x + 4 < ... | |
| estimating the slope of the tangent line | 9/19/2010 |
| Q: Here is the problem. f(x)=cosx^2 Compute the slope of the secant line between the points ... A: I hope you meant cos(x²) and not cos²x. Anyway, for f(x) = cos(x²), the slope of the secant line ... | |
| Calculus Limits | 9/12/2010 |
| Q: lim tan(5x)/ cos(x-pi/2) x→0 A: Directly substituting the limits result in the indeterminate form 0/0. We can therefore employ the ... | |
| Rate of increase in volume and radius | 9/7/2010 |
| Q: I have this question in my physics book that says (I promise I didn't make this scenario up, i'm ... A: The rate at which the level h rises would depend on the relationship between the volume V at any ... | |
| Physics related Calc | 9/6/2010 |
| Q: Consider the periodic pulse train p(t) shown below where the width of each pulse *delta* equals ... A: p(t) = A (from t = 0 to Δ) and 0 (from t = Δ to T) The mean value of p(t) = (1/T) ... | |
| limits!! | 8/30/2010 |
| Q: ..so I have tried this question a million different ways and I emailed my math teacher who helped me ... A: The function has a singularity at x = 3 since x² - 9 = 0 and the expression is then undefined. It is ... | |
| area between two curves | 8/30/2010 |
| Q: please find the area between the graphs of the functions given by y= -4x+3 and y=x^2+6 A: The functions intercept at -4x + 3 = x² + 6 x² + 4x + 3 = 0 (x + 3)(x + 1) = 0 x = -1 or -3 The ... | |
| pyramids | 8/28/2010 |
| Q: im a student of engineering and ive come across this problem that involves volumes and pyramids and ... A: The volume of the pyramid is given by V = BH/3 where B is the base area and H is the perpendicular ... | |
| Differentiating function with two variables | 8/24/2010 |
| Q: I have a problem with differentiating this function: u(x,y) =(5x^2 − 8x − 6)^sin(6y) ... A: u = (5x² - 8x - 6)^sin6y Let p = 5x² - 8x - 6 u = p^sin6y Up = sin6y . p^(sin6y - 1) dp/dx = 10x - 8 ... | |
| Derivative of Factorials | 8/23/2010 |
| Q: I am working on alternating series questions. Here I need to solve derivative of Factorials such ... A: Given that the factorial is a discrete function, not a continuous one, there is no continous ... | |
| Limits Involving e | 8/22/2010 |
| Q: I'm having trouble solving this problem on limits on my calc packet. lim (e^2x - e^4)/(x-2) x->2 ... A: Direct substitution would result in an indeterminate form. So we apply the L'Hopital Rule. It ... | |
| integral- area | 8/16/2010 |
| Q: sir, how a definite integral represents area of the function between the limits and the bounded ... A: I think I understand what you're pointing at. But you need to understand that calculus became a ... | |
| sequences and summation notation | 8/13/2010 |
| Q: if a1 =4 and d=2 what are the first four terms of the arithmetic sequence? and what is 10!/5!. A: 1. If a_1 = 4 and d = 2, then a_2 = a_1 + d = 4 + 2 = 6 a_3 = a_2 + d = 6 + 2 = 8 a_4 = a_3 + d = 8 ... | |
| Calculus | 8/5/2010 |
| Q: a piece of wire 14ft long is cut into two pieces. one piece is made into a circle and the other is ... A: Let the wire be cut into lengths x and y for the circle and square respectively. We have x + y = 14 ... | |
| Evaluating an integral | 8/3/2010 |
| Q: Evaluate the integral A: We'll work it out by the method of substitution. Let u = √x du/dx = 1/2√x = 1/2u dx = 2u ... | |
| Finding the area beneath a curve | 8/3/2010 |
| Q: Find the area of the region that lies beneath the curve y=sqrt (2x+2) ; 0<x<1 A: The area beneath a curve f(x) between the x-limits a and b is given by ∫f(x) dx from a to b ... | |
| Calculus | 7/26/2010 |
| Q: A small object of unknown temperature was placed in a large room that had the fixed temperature 30 ... A: Newton's law of cooling can be written as; dθ/dt = k(T-θ) where θ is the temperature ... | |
| Calculus | 7/25/2010 |
| Q: The thread length for a simple spool of cotton thread is 25 yards. To celebrate Valentine's Day, ... A: The arc length of the polar curve r = a(1 - sinx) is given by the integral ∫[√(r² + ... | |
| Calculus | 7/22/2010 |
| Q: Archive Delete Inbox AllExperts Reply to your questionInbox 5 hours ago Show details AllExperts to ... A: a) The curve y = x² and y = 4 intersect at x² = 4 x = ±2 The area of the region R is the area ... | |
| Critical Numbers | 7/22/2010 |
| Q: What are the Critical numbers of |X2 - 1| A: |x²-1| = x²-1 when x²-1 > 0 i.e x < -1 and x < 1 AND |x²-1| = -(x²-1) = 1-x² when x²-1 < 0 i.e -1 < ... | |
| Calculus | 7/20/2010 |
| Q: I hope you don't mind that I have another question! I have to solve for x in this problem: ... A: Whenever you have an equation of the form a/b = 0, the solution is always a = 0. This is so because ... | |
| velocity | 7/15/2010 |
| Q: I know that v = d/t but I'm not sure how to set this up:The height of an object shot straight upward ... A: I was of the opinion that you've done a bit of differential calculus. v = dh/dt refers to ... | |
| Applications of the derivative | 7/14/2010 |
| Q: Water flows into a vertical cylindrical tank a 12 cu. ft. per min.; the surface rises 6 in. per min. ... A: The volume of water V in a vertical cylindrical tank depends on the water level h and the radius r ... | |
| velocity | 7/13/2010 |
| Q: I know that v = d/t but I'm not sure how to set this up:The height of an object shot straight upward ... A: h = 64t - 16t² We know that the object is at its maximum height when the velocity is zero (when it ... | |
| Calculus | 7/7/2010 |
| Q: What is the critical number of f(x)=x(x-1)^1/3 A: f(x) = x(x-1)^1/3 f'(x) = x(1/3)(x-1)^(-2/3) + (x-1)^(1/3).1 = x(1/3)(x-1)^(-2/3) + ... | |
| Help me find the revenue function | 7/5/2010 |
| Q: I'm helping someone on Yahoo! Answers with aIf C(x) = 19000 + 400x - 1.6x^2 + 0.004x^3 is the cost ... A: Lets try to clear this up. Usually, a demand function expresses demand (quantity) as a function of ... | |
| limit misunderstanding | 7/3/2010 |
| Q: I have this very basic limit question which I thought I knew the answer to but somehow I am wrong. ... A: First, i'd like to say that a function is never properly defined until its domain is specified. For ... | |
| HELP!!!! | 6/21/2010 |
| Q: I'm working on a calculus final that must be finished tonight, can you help me?!?! Find the area ... A: Refer to the attached diagram. y = 1 - x² The area of the rectangle is A = 2xy = 2x(1 - x²) = 2x ... | |
| Precalculus(finding the center and radius of a circle) | 5/27/2010 |
| Q: how do i solve for the radius and the center of a circle when i have X^2+Y^2-8X+4Y-8=0? A: The equation of a circle is of the form (x - h)² + (y - k)² = r² where the center is (h, k) and the ... | |
| maxima minima | 5/26/2010 |
| Q: f(x)=-1+Kx+K neither touches nor cuts the curve f(x)=ln x, then the minimum value of K is what ? A: Consider the functions; f(x) = Kx + (K - 1) and g(x) = lnx The vertical distance between them at ... | |
| Calculus formula | 5/13/2010 |
| Q: could you please let me know the trick to finding the answer to the formula, ... A: If you mean to refer to [f(x + Δx) - f(x)]/Δx, then it is the expression whose limit, as ... | |
| calculus | 5/12/2010 |
| Q: find the rate of change of y with respect to x by using the definition of first derivative y = x^2 + ... A: From the definition of first derivative, the rate of change of y with respect to x, dy/dx, is the ... | |
| Graphs | 5/7/2010 |
| Q: Assalamalaikum Sir, I had this doubt while preparing for SAT MATH LEVEL 2 Here's the link ... A: Yes, its 2x and not x. My mistake. The basic cosine function y = cosx has a period of 2π. The ... | |
| Graphs | 5/4/2010 |
| Q: Assalamalaikum Sir, I had this doubt while preparing for SAT MATH LEVEL 2 Here's the link ... A: The graph shows a peak-to-peak value of 1 meaning that the amplitude is 0.5 and it appears to be a ... | |
| numerical analysis | 4/27/2010 |
| Q: x^3+2x^2+10x-20=0 A: We could use the Newton's method to obtain a solution. The discriminant test shows that the equation ... | |
| optimzation/ max & min | 4/19/2010 |
| Q: Suppose that at any time "t"(seconds) the current "i"(amps) in an alternating current circuit is: ... A: a) i = 2cost + 2sint Turning points occur when di/dt = 0 di/dt = -2sint + 2cost equating to zero, ... | |
| integral properties | 4/16/2010 |
| Q: is it always true that if integral f(x)dx >0 then f(x) > 0 and if not when it is true and ... A: Do you mean definite integral? If the definite integral of f(x)dx > 0, then f(x) > 0 between those ... | |
| Maximum/minimum problems | 4/14/2010 |
| Q: A church window consists of a blue semicircular section surmounting a clear rectangular section. The ... A: The amount of light through any section is kA, where A is the area of that section and k is some ... | |
| calc | 4/13/2010 |
| Q: a conical tan with vertex down is 20ft across the topa nd 24ft deep. if the wateris flowing inot the ... A: The volume of a conical tank with radius R and height H is V = πR²H/3 Let r and h be the ... | |
| Calculus - Optimization Problem | 4/11/2010 |
| Q: The question is: The fuel efficiency, E, (in litres per 100 kilometres) of a car driven at speed v ... A: E(v) = 1600v/(v^2 + 6400) E'(v) = [(v^2 + 6400)(1600) - (1600v)(2v)] / (v^2 + 6400)^2 = ... | |
| infinity | 4/7/2010 |
| Q: Does infinity exist in real life? A: You need to understand that the expression 'infinity' in mathematics doesnt refer to any exact ... | |
| Calculus paper due tomorrow | 4/5/2010 |
| Q: Can you help me to solve this problem: Determine the interval over which F (x) = (x + 3)³ is ... A: A function f(x) is concave upward when its second derivative f''(x) > 0 Now, f(x) = (x + 3)³ f'(x) = ... | |
| Calculus | 4/1/2010 |
| Q: Why a continous function is not always differentiable ? Give the reason !!! A: If a continuous function has a corner or a cusp, then it will not be differentiable at that point. ... | |
| Integration | 3/24/2010 |
| Q: Prove that the line y=x+2 is a tangent to the parabola y=x^2-5x+11. A: The slope of the line y = x + 2 is always 1. If this line is to be a tangent to the curve y = x² - ... | |
| CALCULUS 1 HELP | 3/22/2010 |
| Q: Find an equation for the tangent line to the graph of f(x)=squar.(x+1) at the point where x=3, THE ... A: The slope of the function f(x) = √(x+1) is given by f'(x) = 1/2√(x+1) At x = 3 f'(3) = ... | |
| Math 160 | 3/5/2010 |
| Q: I am having trouble finding dy/dx by implicit differentiation in the equation x^2y^3-9xy^2=11. Can ... A: The trick is to always add dy/dx when you differentiate any term in y. x²y³ - 9xy² = 11 Using ... | |
| Integration problem | 2/22/2010 |
| Q: I was having a confusion. Please tell am I right that the integral of (1/m)dm is equal to ln m + c ... A: Its the same. In both cases you're adding an arbitrary constant, doesnt matter what or how you write ... | |
| Calculus! Please Help! | 2/10/2010 |
| Q: 1) Directions: Express in the form y=f(x) by eliminating the parameter. 1)x=e^-2t , y=6e^4t 2) ... A: 1) x = e^-2t We can see that x^(-2) = (e^-2t)^(-2) x^(-2) = e^[(-2t)(-2)] x^(-2) = e^(4t) y = ... | |
| calculus | 2/4/2010 |
| Q: Assume the number of hours of daylight in Portland, Oregon is a transformed sine graph(also known as ... A: First, some background on the sine function. The most basic form of the sine function is y = ... | |
| intermediate value thm | 2/3/2010 |
| Q: My question is; x^3+15x+1=0 show that the function has 3 solutions in [-4,4].I know that i should ... A: The cubic equation of the form x³ + px + q = 0 has three real and different roots when 4p³ + 27q² < ... | |
| inequality | 2/1/2010 |
| Q: I am studying for a test i have next week and i am stuck on this question i need to give the values ... A: We have the inequality (x² - 3x + 2)/(x² - 6x + 9) >= 0 factorizing, (x-2)(x-1)/(x-3)² >= 0 In ... | |
| double and half angle identities | 1/31/2010 |
| Q: In each case, find sin(α), cos(α), tan(α), csc(α), sec(α), and cot(α). ... A: sin(2α) = -15/17 cos(2α) = √[1 - sin²(2α)] = √[1 - (-15/17)²] ... | |
| Differential Equation? | 1/30/2010 |
| Q: Sorry for your time! Consider the differential equation dy/dx= (3x^2)/(e^[2y]). a) Find a ... A: dy/dx = 3x²/e^(2y) Cross multiplying, e^(2y) dy = 3x² dx Integrating bothsides, ∫e^(2y) dy = ... | |
| calculus | 1/20/2010 |
| Q: find the equation of the tangent and the normal to the curve at the point indicated:f(x)=3x^2-2x+1 @ ... A: The function f(x) = 3x² - 2x + 1 has a slope function of f'(x) = 6x - 2 at (1,2), slope is f'(1) = ... | |
| Calculus-work | 1/20/2010 |
| Q: I have attempted this problem multiple times and cannot receive the correct answer. I was wondering ... A: Work done is ∫F(x) dx from x = 0 to 8 W = ∫[700/(x+2)^5] dx = ∫[700(x+2)^-5] dx ... | |
| Trig Identities | 1/10/2010 |
| Q: Prove the identity: 1+TAN^2x / SECx = SEC COSx ( SECx - COSx) = SIN^2 Note: x represents theta A: First you need to know all these identities; sinθ/cosθ = tanθ secθ = 1/cosθ ... | |
| Related Rate | 1/8/2010 |
| Q: Draining a tank Water drains from the conical tank shown in the accompanying figure at the rate of ... A: The volume of a conical tank with radius R and height H is V = πR²H/3 If water is draining from ... | |
| calculus ap | 1/7/2010 |
| Q: a cylindrical can without a top is made to contain V cm^3 of liquid. Find the dimensions that will ... A: If the cylinder with radius r and height h should contain a specific volume V V = πr²h h = ... | |
| AP Calc | 1/7/2010 |
| Q: 62. Draining Water- water drains from the conical tank shown in the figure at a rate of 5 ft^3/min. ... A: The volume of a conical tank with radius R and height H is V = πR²H/3 If water is draining from ... | |
| related rates | 1/6/2010 |
| Q: Water is draining at the rate of 48 pie ft. cubed from the vertex at the bottom of a conical tank ... A: The volume of a conical tank with radius R and height H is V = πR²H/3 If water is draining from ... | |
| derivatives as a rate of change | 1/5/2010 |
| Q: good day. i got this question from TC7. A stone is dropped into a still pond, and concentric ... A: The disturbed region is simply the area enclosed by the circle whose radius is given. At any given ... | |
| related rates | 1/5/2010 |
| Q: can you help me on this question? a spherical balloon is filled with helium at the rate of ... A: Yes, we're looking for dD/dt where D is the diameter. The volume of a sphere is given by V = ... | |
| AP Calculus | 1/3/2010 |
| Q: Differentiate: y=3x/x^2+1 A: For this kind of expressions we use the quotient rule to find the derivative. If y = u/v dy/dx = ... | |
| largest inscribed triangle | 1/1/2010 |
| Q: "Points A and B lie at the ends of a diameter of a unit circle and point C lies on the ... A: The described triangle is always a right-triangle at C. If x and y are the other two sides while the ... | |
| calculus | 12/30/2009 |
| Q: Mary is making a cylindrical drum. The drum must hold 1.8m^3 of liquid. The drum must be no more ... A: A cylinder with radius r and height h has a volume V = πr²h and a total surface area A = ... | |
| Calulus | 12/29/2009 |
| Q: I need to design a 500 ft^3 square based, open top tank. i need to find the dimensions for the base ... A: If the tank has base length b and height h and should be 500ft³ in volume, then Volume = Ah ... | |
| calculus problem | 12/28/2009 |
| Q: The problem gives two functions with variables. We are supposed to compare the equations and then ... A: You keep talking about 'functions' whereas there is in fact just ONE function, it just has two ... | |
| Tangent line problem? | 12/27/2009 |
| Q: I can't seem to match up my answer to the correct one. *cries* So I was wondering if you could do it ... A: The functions x(t) and y(t) are known as parametric equations with t as a parameter. The function of ... | |
| Taylor series representations of binomial series | 12/23/2009 |
| Q: My question relates to the Taylor series expansion of the binomial series (1 + x)^k. (If you're ... A: It is in fact correct swapping x² for x in the Taylor Series expansion. Now, its really good of you ... | |
| AP Calculus | 12/11/2009 |
| Q: find d^2/dx^2 by implicit differentiation for the equation: y^2=1-2/X A: y² = 1 - 2/x differentiating implicitly 2y(dy/dx) = 2/x² y(dy/dx) = 1/x² differentiating again ... | |
| calculus | 12/10/2009 |
| Q: The rate of U.S. sales of imported bottled water for the period 1990-2000 can be approximated by ... A: If R(t) is the sales function at any time t, then the rate of sales is dR/dt i.e dR/dt = I(t) dR = ... | |
| Another Calc question | 12/6/2009 |
| Q: Question #1 - Given the demand function D(p)=415-4p, calculate the elasticity of demand for p=53. ... A: 1) D = 415 - 4p dD/dp = -4 Price elasticity of demand PED = (dD/dp)(p/D) = (-4)[p/(415 - 4p)] ... | |
| First Year College Calculus Help! | 12/6/2009 |
| Q: The concentration of a drug in the blood stream "t" hour after being administered is modeled by ... A: I hope you're already familiar with elementary differentiation and the product rule. ... | |
| Cal2 | 12/4/2009 |
| Q: find the volume of the solid generated by revolving the region bounded by x =2y^2, y =x, about the ... A: First we need to determine where the lines intersect. x = 2y² and x = y They intersect at 2y² = y ... | |
| Calculus I | 12/2/2009 |
| Q: The function f(x)= x/√(x^2+1 has a) horizontal asymptotes at x=1 b) horizontal asymptotes at ... A: Any line y = a is a horizontal asymptote for f(x) if lim f(x) = a x→∞ OR lim f(x) = a ... | |
| Calculus | 12/1/2009 |
| Q: Find the equations of all tangents to the curve y=x^2 that intersect with the point (1,-1). A: The slope of the curve y = x² at any point (x,y) [i.e (x,x²)] is dy/dx = 2x Consider a tangent line ... | |
| calculus | 12/1/2009 |
| Q: a right triangle is in the first quadrant, nested in the origin. The hypotenuse runs through the ... A: Let the line of hypotenuse intersect the x and y axes at (a,0) and (0,b). By co-ordinate geometry, ... | |
| algebra 1 slope intercept from | 11/30/2009 |
| Q: what is the perpendicular to y=-3x-6 through the point is (3,6) A: The line y = -3x - 6 has a slope of m = -3 The line perpendicular to this line would have a slope of ... | |
| Calculus | 11/28/2009 |
| Q: Can you show me how to work through this problem? Thanks You own a parking lot in Five Points and ... A: Lets say that the price that maximizes profit is an increase of x dollars. Then the new charge per ... | |
| Applied Max/Min Problem | 11/24/2009 |
| Q: I have started this question but am not sure if I am doing it correctly. Your help will be greatly ... A: Ok, lets restart. We have to largest value of the product of two numbers x and y P = xy subject to ... | |
| Logical Maths | 11/23/2009 |
| Q: When two positive or negative directed numbers are multiplied then answer is positive, e.g (+3)x(+7) ... A: There is a general multiplication rule of signs in mathematics. + x + = + - x - = + + x - = - - x + ... | |
| related rates ladder | 11/17/2009 |
| Q: i am trying to understand this problem: 1- A ladder 25 feet long is leaning against the wall of aa ... A: In the first part, there were no xy terms and it was straightforward to differentiate. We ... | |
| Trig | 11/16/2009 |
| Q: Suppose that cos θ = 3/5 and that θ is a Quadrant IV angle. Find the exact value of sin ... A: cos²θ + sin²θ = 1 sin²θ = 1 - cos²θ sinθ = √(1 - cos²θ) But, ... | |
| Logarithmic Functions | 11/13/2009 |
| Q: Use Logarithmic differentiation to find the derivative of the function. y= (rad ... A: y = √x . e^x² . (x² + 2)^10 Taking logarithms, ln y = ln[√x . e^x² . (x² + 2)^10] ln y = ... | |
| Related Rates. | 11/12/2009 |
| Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of ... A: The formula for the area A of a rectangle with length l and width w is A = lw differentiating with ... | |
| Differentiating Volume of a Sphere | 11/11/2009 |
| Q: Ahmed V=4/3.pi.r3 dV/dr=4.pi.r2 (total surface area) d2V/dr2=8.pi.r=4.pi.d (what would this ... A: Well, i'm afraid that in this case both d²V/dr² and d³V/dr³ dont actually represent any physical ... | |
| Optimization Problem | 11/9/2009 |
| Q: Can you see if you can help me with the following problem? Thank you. 7. (1 pt) The manager of a ... A: Revenue is found by multiplying number of units N by the rent of each unit r. R = N.r If there are n ... | |
| Pre-Calculus | 11/7/2009 |
| Q: I need help with this problem, please: Suppose points A, B, and C have coordinates A (0, 0), B (1, ... A: Vector AB, u = (1-0)i + (-2-0)j = i - 2j where i and j are the unit vectors in the ... | |
| Related Rates ladder | 11/4/2009 |
| Q: A 20 foot ladder leans against a building. The top of the ladder starts sliding down the side at .5 ... A: Let the height of the ladder on the wall at any time be y, and the distance to the foot of the ... | |
| Calculus | 10/31/2009 |
| Q: Find the equation to the line tangent to the curve y = 3arccos(x/2) at the point (1, pi). A: y = 3arccos(x/2) dy/dx = 3.(1/2).-1/√[1 - (x/2)²] = -3 / 2√(1 - x²/4) at x = 1 ... | |
| calculas | 10/31/2009 |
| Q: f(x)= a-x/(a+x) where a is some real number that we can choose. for what value of a is f(x) its own ... A: f(x) = a-x/a+x Let f(x) be y and its inverse z y = a-x/a+x y(a+x) = a-x ay + xy = a - x xy + x = a - ... | |
| Calculus homework help | 10/29/2009 |
| Q: The function f(x)=ax^3 + 3x^2 + bx has a local minimum at x=3 and a point of inflection at x=1 . ... A: f(x) = ax³ + 3x² + bx f'(x) = 3ax² + 6x + b f''(x) = 6ax + 6 If x = 1 is a point of inflection, then ... | |
| Help | 10/29/2009 |
| Q: A carpenter has been asked to build an open box with a square base. The sides of the box will cost ... A: let the square base have sides with length x and the height be h. The base area = x² The box has ... | |
| calculus | 10/28/2009 |
| Q: what happens if you try to use l'hopital's rule to evaluate limit as x goes to infinity of x ... A: L'Hopital's rule is used to evaluate a limit when direct substitution results in the indeterminate ... | |
| Sinusoidal Functions | 10/27/2009 |
| Q: I hope you can help cause I've been banging my head on this one... Ok, I have a problem where we ... A: The delay is terribly regretted. The general equation of simple harmonic motion is written x = ... | |
| Calculus | 10/25/2009 |
| Q: How many lines which are tangent to the curve y= x/x+1 pass through the point (1,3)? where do they ... A: A line tangent to the curve y has a slope equal to dy/dx at (x,y) where it touches the curve. If ... | |
| Integral | 10/23/2009 |
| Q: Why the average value of the square of the sine function taken over one period is <[sin(wt)]^2>= ... A: The average value of a function f(x) is the definite integral of the function within the interval ... | |
| Implicit Function | 10/21/2009 |
| Q: Kindly assist with the below: a) A curve follows the implicit function x^3+3x^3y^2-2y^4 = 2x+3y ... A: We differentiate every term accordingly but always remembering to add dy/dx whenever we ... | |
| Implicit differentiation | 10/20/2009 |
| Q: Using implicit differentiation, find dy/dx if tanxy=x I don't know how to even start. Thank you in ... A: Lets start by letting v = xy dv/dx = x(1.dy/dx) + 1.y = x(dy/dx) + y Note that when we ... | |
| Related Rates | 10/16/2009 |
| Q: Hey Ahmed, im dealing with a related rates problem and the question is, "The formula for the volume ... A: If h = 3r dh/dt = 3.dr/dt And so, yes, if dr/dt = 2in/min and h = 3r, then dh/dt = 6in/min But i'm ... | |
| the equation of the tangentline through the given point | 10/13/2009 |
| Q: f(x)=x^2-3x+4, at P(2,2) A: The tangent line through any point on f(x) has the same slope as that of f(x) at the point. f(x) = ... | |
| Calculus | 10/12/2009 |
| Q: A truck uses (4x -240)²/250 gallons per hour when traveling on a highway. The driver gets paid ... A: I was unsure about what you meant since you didnt state what x represented. So, lets do this again ... | |
| calculus/ trig | 10/11/2009 |
| Q: find the limit as theta goes to zero of the function cos theta minus 1 divided by sin theta. A: (cosθ - 1)/sinθ = (cosθ - 1)(cosθ + 1)/sinθ.(cosθ + 1) Note that we ... | |
| Calculus | 10/10/2009 |
| Q: A truck uses (4x -240)²/250 gallons per hour when traveling on a highway. The driver gets paid ... A: I take it that you meant (4v - 240)²/250 i.e v and not x!!! In one hour, (4v - 240)²/250 gallons of ... | |
| Continuity | 10/6/2009 |
| Q: I've been viewing some of the answers to problems that you've been receiving, and thanks to you, I ... A: In part (a), f is not continuous for all x because at x = 1 the limit does not equal to the y-value ... | |
| Functions | 9/30/2009 |
| Q: p(1+5x) = 6/(2-3x). What is p(x)? A: Let y = 1+5x x = (y-1)/5 p(y) = p(1+5x) = 6/(2-3x) = 6/[2 - 3(y-1)/5] = 6/[2 - ... | |
| Calculus 2 Integrate through long division | 9/26/2009 |
| Q: I'm in calculus 2 and I am having a little trouble with this problem. It must be evaluated through ... A: To divide x²+2 by x+3, a. Divide x² by x to get a quotient of x b. Use the quotient x to multiply ... | |
| Calculus | 9/25/2009 |
| Q: I have just began derivatives and differential notation. I don't know how to solve the following ... A: Are you trying to find [f(x+h) - f(x)]/h ? If so, [f(x+h) - f(x)]/ h = (5xh - 1h + 4h^2)/h ... | |
| Intergration | 9/18/2009 |
| Q: intergrate, using the suggested substitution. x over square root (x-3) and x=3+u^2 A: Using the substitution x = 3+u² ∫[x/√(x-3)]dx becomes ∫[(3+u²)/√(3+u²-3)]dx ... | |
| Implicit differentiation | 9/15/2009 |
| Q: Can you check the error in this problem I tried to solve it but it turned out different than the the ... A: Just go through my solution. x^2 + y^2 - 2xy = x + y - 1 2x + 2y(y') - 2(xy' + y) = 1 + y' 2x + ... | |
| Calculus | 9/1/2009 |
| Q: How do i take the derivative of a function with respect to y. Ex. d/dy( 2(x^2)y+(y^3)x) A: If you're finding the derivative of a multivariable function such as this one with respect to y, the ... | |
| Instantaneous Velocity | 8/29/2009 |
| Q: I have a question saying a car is at position x= the square root of(7t+2). I need to find the ... A: The position of the car x at any time t is represented by the relation x = √(7t+2) Lets say we ... | |
| Calculus Problem | 8/27/2009 |
| Q: Please help me find the limit of this problem: (2-x)/(x^2-4), with the limit x->2. Thank you so ... A: Inserting the limit directly creates a problem because we get an indeterminate form of 0/0 so what ... | |
| tangent lines | 8/25/2009 |
| Q: can you find the slope of the tangent line on the curve at a given point. y=3x^2-4 : (-1,-1) ... A: The slope function of a curve is the derivative of the curve function. The tangent line at any given ... | |
| calculus maxima/minima | 8/6/2009 |
| Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of ... A: It makes it easier if we use a coordinate system involving the x and y axes for this problem. ... | |
| calculus with applications | 8/5/2009 |
| Q: a rectangular plot of farmland will be bounded on one side by a river and on the other three sides ... A: Let y be the length of the fence opposite the river and the other two sides each having length x. ... | |
| taking a derivative of an equation w/ 2 variables | 8/1/2009 |
| Q: I know how to take a derivative of a straightforward function with only one variable, but can you ... A: The key to finding the derivative of a function involving variables x and y with respect to x is to ... | |
| integration | 7/30/2009 |
| Q: Can you tell me, can i use integration by part or u sub for 2secX/2+tanX, or both, i cant find secx ... A: This is where you got it all mixed up; 2secx/2+tanx is not (1/cosx)/(sinx/cosx) because it is not ... | |
| functions and lines | 7/29/2009 |
| Q: In the equation y=mx+c.Finding the gradient and the intercept on the y-axis.why is 2x-3y=18 arranged ... A: The general equation of a straight line is y = mx + c where m is the gradient and c is the intercept ... | |
| integration | 7/27/2009 |
| Q: Can you tell me, can i use integration by part or u sub for 2secX/2+tanX, or both, i cant find secx ... A: First, secx = 1/cosx 2secx / (2 + tanx) = (2/cosx) / (2 + tanx) = 2/(2 + ... | |
| Rate Problem | 7/26/2009 |
| Q: Two straight roads intersect at right angles. At 10 am a car passes through the intersection headed ... A: Lets start at 11am, the car is then 30 miles east of the intersection. At any time t(hours) after ... | |
| integration by parts | 7/25/2009 |
| Q: can you help me integrate (arctan x)/1+x^2? I would be most pleased, A: To solve ∫(arctan x)/1+x² dx, you dont even need to integrate by parts. Just a change of ... | |
| Multi-Variable Epsilon-Delta | 7/1/2009 |
| Q: For some reason or another I can't seem to get the idea of epsilon-delta definitions of limits into ... A: Remember that lim (A/B) = lim A/lim B where lim B is not equal to zero. lim(x,y)->(0,0) [y/(x^2 + ... | |
| Taking a derivative of a function in two variables | 6/27/2009 |
| Q: How do you take the derivative of a function in two variables? For example how would I take the ... A: By the method of partial derivatives, dy/dx = -(&z/dx)/(&z/dy) where & represents the partial ... | |
| Taking a derivative of a function in two variables | 6/27/2009 |
| Q: How do you take the derivative of a function in two variables? For example how would I take the ... A: The trick is to always add a dy/dx whenever u differentiate a function in y. I hope you know the ... | |
| Calculus involving sin and cos | 6/6/2009 |
| Q: If f(x) = sinx+cosx, find the value of n such that f^n(x) = f(x). I'm not sure really what its ... A: What the question is asking is how many times would you differentiate f(x) to arrive at a function ... | |
| calclus | 6/5/2009 |
| Q: what is the diffrentiation of f(x)log5^(lnx)+log2^(lnx+2) A: f(x) = log5^(lnx) + log2^(lnx+2) = (lnx)(log5) + (lnx+2)(log2) = (lnx)(log5) + (lnx)(log2) ... | |
| Calculus probem | 5/30/2009 |
| Q: A 5,000 m² rectangular area of a field is to be enclosed by a fence, with a moveable inner fence ... A: Let the fence have dimensions of length l and width w, then the length of the movable inner fence is ... | |
| trig. funtion proof. | 5/20/2009 |
| Q: prove this trig. funtion. (Tanx + sinx)/2tanx= cos^2(x/2) A: By the double angle formula, cos 2A = 2cos^2 A - 1 i.e cos^2 A = (cos 2A + 1)/2 = (1/2)cos ... | |
| The volume of a function rotated about an axis | 5/19/2009 |
| Q: Find the volume of the function formed by revolving the function x=-(y- 2)^2+1 around the x-axis. I ... A: The volume of the solid formed when y = f(x) is rotated around the x axis is V = ∫#y^2 dx |a ... | |
| Algebra | 5/18/2009 |
| Q: I have a cylinder wet well with the volume of 188 cubic feet. What is the height and diameter of the ... A: What exactly do you mean? A cylinder with a specific volume can have an infinite combinations of the ... | |
| Calculus (Differentiation) | 5/16/2009 |
| Q: There is an exercise in my mathematics book that asks me to find dV/dp of this formula: ... A: The expressions dont seem clear enough but i'm guessing you're wondering how d/dV[nRT/(V-nb)] = ... | |
| calculus question | 5/12/2009 |
| Q: Suppose the height of the tide is given by the equation h(t) = 4 sin {2Pi(t+8)/P} T is measured in ... A: h(t) = 4sin {2Pi(t+8)/P} P = 24 hrs a)Starting from midnight 29 december 2008, there are exactly 2 ... | |
| trapezoidal rule | 5/10/2009 |
| Q: need to evaluate the integral using T-Rule e ^ x^2 .dx with lower limit 1 and upper limit 2 and ... A: To find the definite integral (Area) of a function between the limits a and b using the trapezoidal ... | |
| precalculus/trigonometrey | 5/8/2009 |
| Q: Can you show me how to solve these? A) tan^-1 square root 3 B) sin^-1( -square root 3/2) C) ... A: a)tan pi/3 = sqrt3 and so tan^-1 sqrt3 = pi/3 but tan is also positive in the third quadrant and so ... | |
| calc w/ trig | 5/6/2009 |
| Q: given y=sinx(1-cosx) show dy/dx=(1+2cosx)(1-cosx) A: y = sinx(1-cosx) Using the product rule dy/dx = sinx d/dx(1-cosx) + (1-cosx)d/dx(sinx) = ... | |
| calculus | 5/6/2009 |
| Q: solve for the derivative of x^x^2 A: Let y = x^(x^2) Finding the natural log (ln) of both sides, ln y = ln [x^(x^2)] ln y = (x^2).lnx ... | |
| calculas | 5/2/2009 |
| Q: what is mean by picewise continuos? A: A function or curve is piecewise continuous if it is continuous on all but a finite number of points ... | |
| math | 4/30/2009 |
| Q: So I have a worksheet that is just to help us get started before we start our next lesson and I was ... A: I'll be representing theta by # and writing the limit as theta approaches zero as just 'lim'. ... | |
| calculus | 4/27/2009 |
| Q: how to I get the maximun profit of -.01x^3+.3x^2+15x-100 A: The maximum value of -0.01x^3 + 0.3x^2 + 15x - 100 occurs when its first derivative equals zero and ... | |
| Measurements | 4/26/2009 |
| Q: How do I measure properly with a ruler. Please explain measurements. Thanks A: Well, it depends on what kind of ruler you're measuring with. Anyway, the most important thing is to ... | |
| calculus | 4/25/2009 |
| Q: I have a relative growth function 1/P∙dP/dt= b + aP where a = -.00009175 and b = .02866 and P ... A: This is exactly what we have done. By partial fractions, 1/P(b + aP) = 1/bP - a/b(b + aP) and we ... | |
| Calculus - finding an automobile's velocity | 4/23/2009 |
| Q: The driver of an automobile applies the brakes at time t=0 and comes to a halt after traveling ... A: For constant acceleration (or deceleration) v^2 = u^2 + 2as where v is the final velocity u is the ... | |
| help please | 4/22/2009 |
| Q: let r be the monthly rent per unit in an apartment building with 100 units. A survey reveals that ... A: a)Suppose that there are n rented apartments, then there are 100 - n vacant ones. Each vacant ... | |
| Squeeze theorem | 4/20/2009 |
| Q: What is the purpose of squeeze theorem and its application in the real world? A: The Squeeze Theorem is a theorem regarding the limit of a function. It is used in an effort to ... | |
| vertical asymptote | 4/20/2009 |
| Q: what does it mean when they say that a functions graph approaches infinity as it gets closer to a ... A: The line x = k is a vertical asymptote of a curve y = f(x) if the limit of f(x) as x approaches k is ... | |
| Calculus | 4/19/2009 |
| Q: A wire of length 12in. can be bent into a circle, bent into a square, or cut into two pieces to make ... A: Let's say that the wire has been cut into two with x being the length to make a circle and y the ... | |
| Calculus | 4/18/2009 |
| Q: cot squared 0- c0s squared 0= cot squared 0 x cos squared 0 A: What exactly am i supposed to do for you here? You have not exactly specified but i take it that you ... | |
| calculus | 4/17/2009 |
| Q: I have a relative growth function 1/P∙dP/dt= b + aP where a = -.00009175 and b = .02866 and P ... A: We have to solve the differential equation. 1/P∙dP/dt= b + aP separating variables, dP[1/P(b + ... | |
| calculus | 4/15/2009 |
| Q: I am in calculus class and i need help in this Homework question, so i would apreciate if you could ... A: The surface area of a sphere with radius r, S(r) = 4#r^2 where # represents pi The surface ... | |
| Trigonometric Differenciation | 4/9/2009 |
| Q: I was just wondering if you could help me with differentiating a few of these problems. I tried to ... A: 1)h = cos2x/sin2x Using the quotient rule for h = u/v h' = (vu' - uv')/v^2 (i hope you ... | |
| calculus finding dimension of a dorm | 4/7/2009 |
| Q: A university has decided to build a new, creative dorm! After a contest to determine the shape, it ... A: Part 1 This is what i understand (correct me if i'm wrong). The volume of the building should be ... | |
| Calculus Finding Position Function | 4/1/2009 |
| Q: A particle moves on the x-axis so that at any time t its velocity v(t) = sin 2t subject to the ... A: v(t) = sin 2t To get x(t) from this, we integrate. We do this because v = dx/dt dx = vdt x = {vdt ... | |
| Pre calc proofs | 4/1/2009 |
| Q: I am trying to verify the following identity but don't know where to get started...... The question ... A: I think you meant to prove that [(1-sin t)/cos t]^2 = 1-sin t / 1+sin t Consider the left hand ... | |
| Algebraic Functions in Quantitative analysis | 3/30/2009 |
| Q: Am attending my MBA-HR examinations in May 2009 where in the paper Quantitative Analysis for ... A: a)y = 3x - 5 at x = 0, y = -5 at y = 0, x = 5/3 This graph is a straigth line (its of the form y = ... | |
| math | 3/29/2009 |
| Q: draw a circle with center point o and an angle of 40 degrees and a raduis of 20 cm. the question is ... A: If the person is moving at the same speed on the circle then the time spent is proportional to the ... | |
| the minimal distance | 3/27/2009 |
| Q: Determine the minimal distance from point (-3,3) to the curve given by y=(x-3)^2 I've been trying ... A: The general point on the curve is (x,y) or simply (x,(x-3)^2) If D is the distance from any point on ... | |
| calc | 3/23/2009 |
| Q: determine the dimensions of a rectangular solid(w/a square base) w/maximum volume if its surface ... A: Let the length of the square base be x and the height be y. The volume of the solid is V = (x^2)y ... | |
| derivative of e^(1/2*x) | 3/22/2009 |
| Q: Why is the derivative of e^((1/2)x) 1/2e^((1/2)x)? I thought the rule was f'(e^kx)=(e^kx)/k. ... A: f'(e^kx) = k(e^kx) Lets rewrite in a simpler form and consider it as a composite function. y = e^kx ... | |
| factorsssss | 3/19/2009 |
| Q: How do I factor : x^3 + 3x^2 + 1 (I set y as zero because i need to find the x intercept to graph ... A: If all you need do is graph the expression, then you can go on without the x intercepts i.e the ... | |
| Problem | 3/16/2009 |
| Q: I have a problem that says : express sin11pi/12+sin5pi/12 as a product and find the exact value of ... A: First, you need to remember the double angles identity; sin(A+B) = sinA.cosB + sinB.cosA sin(A-B) = ... | |
| Related Rates | 3/12/2009 |
| Q: The altitude of a triangle is increasing at a rate of 1500 centimeters/minute while the area of the ... A: The relationship between the area A, altitude h and base b of a triangle is; A = (1/2)bh Finding the ... | |
| Integration | 3/6/2009 |
| Q: I don't understand why, when you take the definite integral of the function (1000-10x^2) on the ... A: The integral of (1000 - 10x^2)dx is 1000x - 10x^3/3 + c where c is an arbitrary constant Finding the ... | |
| algebra | 3/5/2009 |
| Q: what is the result if you divide -12x^8y^8 by 3x^4y^2= I'd really appreciate it if you could answer ... A: x^n = x.x.x.x....... (n times) x^m = x.x.x.x....... (m times) So, (x^n)/(x^m) = x^(n-m) This is ... | |
| calculus | 2/19/2009 |
| Q: I just got stuck while solving a problem and don't know the answer to this... How do you solve ... A: You can let (75-y)^2 = x The equation then becomes 25/9x = 2500 + x multiplying through by 9x, 25 = ... | |
| Particle Motion | 2/13/2009 |
| Q: A particle moves along the X-axis so that at time t its position is given by x(t)=sin(pi*t^2) for -1 ... A: Yes, its a friendly site but some people decide to give you unfriendly ratings because of a mix up ... | |
| proving an identity | 2/9/2009 |
| Q: So I'm having trouble solving this problem. 1. Prove the Identity Sin2x= 1/(tanx+cot2x) ... A: Remember the double-angle identities sin2x = 2sinx.cosx cos2x = cos²x - sin²x and sin²x + cos²x = 1 ... | |
| Particle Motion | 2/8/2009 |
| Q: A particle moves along the X-axis so that at time t its position is given by x(t)=sin(pi*t^2) for -1 ... A: a)x = sin(#t^2) v = dx/dt = 2#t.cos(#t^2) b)a = dv/dt = [2#t.2#t.-sin(#t^2) + ... | |
| Mechanics Calculus | 2/7/2009 |
| Q: A particle with acceleration=2t-3 passes a point O with velocity=2m/s , t=0 . find time t & ... A: If acceleration, a = 2t - 3, the velocity function would be the integral of that function while the ... | |
| math help | 1/27/2009 |
| Q: If you could help me get started and run me through the steps of how to solve these it would be ... A: cos(A + B) = cosA.cosB - sinA.sinB cos(A - B) = cosA.cosB + sinA.sinB (cosx)^2 + (sinx)^2 = 1 cosx = ... | |
| Calculus integration by parts | 1/27/2009 |
| Q: the problem is= p^5ln(p)dp u = Ln p dv= p^5 dp du= (1/p)dp v= (1/6)p^6 i'm stock on the second ... A: You've really done well. The last part is to integrate v.du i.e &(1/6)p^6.(1/p)dp where & ... | |
| Calculus | 1/22/2009 |
| Q: You are living in a time before Newton and Leibniz. One night as you sleep, you have a dream ... A: a)(x^2/27^2) + y^2 = 1 when x = 27cosθ [(27cosθ)^2/27^2] + y^2 = 1 (cosθ)^2 + y^2 = 1 ... | |
| Calculus | 1/22/2009 |
| Q: You are the marketing vice president of the bamboo pen tablets company, and you forecast that the ... A: a)q = -0.5p + 140 Revenue, R = pq R = p(-0.5p + 140) R = -0.5p^2 + 140p b)Well, i cant sketch, can ... | |
| Seperation of Variables | 1/20/2009 |
| Q: y'=9xy y=-2 and x=0 A: Differential equations, right? y' = 9xy dy/dx = 9xy separating variables, dy/y = 9x dx integrating ... | |
| Calculus A, HTL | 1/19/2009 |
| Q: I'm having a problem finding the horizontal tangent line of this eqt. f(x)= x^5/3-5x^2/3+1 i kno ... A: Well, the horizontal tangent line occurs when the derivative is zero. f(x) = x^5/3 - 5x^2/3 + 1 ... | |
| very confused can you help? | 1/18/2009 |
| Q: I need to know what is the relationship between the mass and volume of water A: The mass is a measure of the matter making it up while the volume is simply a measure of how much ... | |
| math | 1/13/2009 |
| Q: Determine the positive radian measure of the angle that the second hand of a clock traces out in the ... A: A)60 seconds represent a radian measure of 2#. 55 seconds, therefore, represents 55/60 x 2# = 11/12 ... | |
| math | 1/13/2009 |
| Q: need by today please! Find the radian measure of the angle in standard position formed by rotating ... A: Let's take it this way. The radian measure when we rotate a full circle is 2# radians where # ... | |
| Pre calculus | 1/11/2009 |
| Q: How do I solve 2 cot^2 2X = 3 csc 2X if 0 </= X < 360 degrees? Thanks so much for your help! A: Right, i'll show you. Remember, csc^2 y = 1 + cot^2 y Therefore, csc^2(2x) = 1 + cot^2(2x) and ... | |
| Probabilities | 1/10/2009 |
| Q: I have been a member on a dating website since 10/29/2008. I've noticed every week or so since ... A: Ok Mark, This makes your question less confusing. In your '6 day period' paragraphs, i'm sure you ... | |
| Precalculus Polynomial functions | 1/8/2009 |
| Q: what are the roots of x^3-4x^2+x-6 I've tried 1,-1,2,-2,and other number I've used are too large so ... A: I figure you've been trying to take advantage of the remainder theorem. Well, this equation happens ... | |
| related rates- Thanks for your help!! | 1/2/2009 |
| Q: Let V be the volume of a circular cylinder having a height h and a radius r, and assume h and r vary ... A: V = #r^2.h where # represents pi The total differential with respect to time; dV/dt = (&V/&h)(dh/dt) ... | |
| minimizing surface area | 12/18/2008 |
| Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total ... A: The volume of the solid is that of a sphere plus a cylinder. If the length of the cylinder is h, the ... | |
| Vector Proof | 12/17/2008 |
| Q: Give a vector proof that the midpoints of the sides of a square are the vertices of a square. If ... A: I hope you're familiar with position vectors. Let the square have a length k and two of its sides ... | |
| Maximizing box size | 12/12/2008 |
| Q: A private shipping company will accept a box for domestic shipment if the sum of its length and ... A: For the described box, V = h.h.w = wh^2 but, 2h + 2w = 90 h + w = 45 w = 45 - h So, V = (45-h)h^2 ... | |
| implicit differentation | 12/11/2008 |
| Q: I need help implicitly differentiating cos(x+y) + sin (x-y) = 0 @ y' = (pi/4, -pi/4). There is ... A: You've obviously been mixing things up. First you send me a different question from the one on that ... | |
| implicit differentation | 12/10/2008 |
| Q: I need help implicitly differentiating cos(x+y) + sin (x-y) = 0 @ y' = (pi/4, -pi/4). There is ... A: I think you mean y' at (#/4, -#/4) where # represents pi What you need to do is first determine the ... | |
| derivatives | 12/10/2008 |
| Q: if a and b are the lengths of two sides of a triangle, and x the measure of the included angle, the ... A: When A = (1/2)absinx, it is clear that A is dependent on the three values of a, b and x. If these ... | |
| Calculus | 12/8/2008 |
| Q: I have a test in two days and i know that something similar to this will be on it. The radius r of ... A: Let # represent pi The volume of a sphere V = (4/3)#r^3 We're interested in rates with respect to a ... | |
| Calculus 1 | 12/8/2008 |
| Q: This comes from a sample final for my final on Monday, Dec. 8. Thanks. A rectangular box with ... A: I regret the error. Yes, the cost of the bottom panel is 2b^2 which means a revise to the solution. ... | |
| Calculus 1 | 12/6/2008 |
| Q: This comes from a sample final for my final on Monday, Dec. 8. Thanks. A rectangular box with ... A: Let the box have a base length of b and a height h, the volume V is therefore V = b^2.h = 18 The ... | |
| volume | 12/2/2008 |
| Q: I recently purchased an expensive freezer unit for my business (Physicians vaccines)the vendor tells ... A: 1 inch = 0.0254m The volume of the freezer is 15x15x11 cubic inches = 15(0.0254) x 15(0.0254) x ... | |
| calculus | 11/30/2008 |
| Q: A point moves along the curve y=x^2 + 1 in such a way that when x=4, the x coordinate is increasing ... A: Note that in this question we are differentiating with respect to a third variable, time t. We have ... | |
| Calculus question | 11/29/2008 |
| Q: Given the function f(x)=e^-x^2 (a). Find the derivative of f (b). Find the critical values (c). ... A: Sorry it took some time. a)Yes, you're correct with the derivative. The derivative f'(x) = ... | |
| dimensions for the building that minimize the total cost | 11/25/2008 |
| Q: the volume of the dorm must be exactly 225,000 cubic feet, which is one cubic foot for each sprout ... A: This is what i understand (correct me if i'm wrong). The volume of the building should be exactly ... | |
| Calculus | 11/25/2008 |
| Q: which factors has to be considered in determining the continuity and differentiability of a function A: A function f(x) is continuous at a point x = c if lim f(x) as x approaches c = f(c) The function is ... | |
| calculus help please! | 11/24/2008 |
| Q: A particle moves in the plane along a curve C with representation. r(t)=tcos(t)i+tsin(t)j for ... A: Very good work. Lets consider the dot product of two vectors A and B. A.B = |A||B|cos# where |A| and ... | |
| this ones really hard.... | 11/17/2008 |
| Q: y- (((e^sinx)(tan^3)x)/(3x^2-1)^8) a) use logarithmic differentiation to find y' b) use quotient ... A: This is a bit long to work through and so because of time i would just let you know how to go about ... | |
| So confused | 11/17/2008 |
| Q: f(x)= ln(sin^-1(2x)) a) find domain of f b) find f'(x) A: f(x) = ln [sin^-1 (2x)] a) For the domain of f(x), sin^-1 (2x) needs to be positive because of the ... | |
| AP Calculus BC | 11/16/2008 |
| Q: The sum of the first and twice the second is 100 and the product is a maximum. A: The first and second terms of an AP are a and a+d where d is the common difference. If the sum of ... | |
| drawing and plotting graph | 11/15/2008 |
| Q: Sir I am very confused that how to shade graph of inequalities?In my book the shaded part is a ... A: A straight line divides the coordinate system into two regions, one of them satisfying a particular ... | |
| pre-calculus | 11/14/2008 |
| Q: How do I simplify: 7log base7^4 - ^2log base7^2 + 3log base3^5 + log base3^2 - 2 ln e^3? I believe ... A: You're right about the second part being 10 because log(3) 5 + log(3) 2 = log(3) 5x2 ... | |
| a calculas question! | 11/13/2008 |
| Q: let f(x)=(1-x),g(x)=x/(x²-1) find fog and domin (f),domain (g) and domain (fog) A: f(x)= 1 - x , g(x) = x/(x²-1) fog = f[g(x)] = 1 - g(x) = 1 - [x/(x²-1)] The domain of f is ... | |
| Finding Parameter Values | 11/12/2008 |
| Q: What values of a and b make f(x) = x^3 + ax^2 + bx have a)a local maximum at x = -1 and a local ... A: The cubic function f(x) = x^3 + ax^2 + bx has stationary points when f'(x) = 0 f'(x) = 3x^2 + 2ax + ... | |
| Pre-calculus | 11/10/2008 |
| Q: How do I convert 9 cis 300 degrees to rectangular coordinates? I need to find an exact answer. ... A: The polar coordinates r and θ can be converted to cartesian coordinates x and y by using the ... | |
| Epsilon-delta method for a limit | 11/10/2008 |
| Q: I was asked to find a delta such that: abs( 1/(x-1) -1 ) < .01 when 0<abs(x - 2) ... A: |1/(x-1) - 1| = |(2-x)/(x-1)| = |(x-2)/(1-x)| = |(x-2)/(x-1)| since |A| = |-A| = |x-2|/|x-1| So ... | |
| Calculus. | 11/9/2008 |
| Q: I need an explanation for the following math. f(x)= 4Xpower3-9Xpower2+6X-1. Since the sum of the ... A: f(x) = 4x^3 - 9x^2 + 6x - 1 f(1) = 4(1^3) - 9(1^2) + 6(1) - 1 = 4 - 9 + 6 - 1 = 0 x = 1 is a ... | |
| Word Problems | 11/7/2008 |
| Q: I'm having trouble with word problems in my calculus class, hope you can help me understand better. ... A: V(t) = 10[1 - (t/100)]^2 The rate of change of volume at any time t is, dV/dt = 10.2[1 - ... | |
| Optimization | 11/7/2008 |
| Q: You run a small furniture business. You sign a deal with a customer to deliver up to 400 chairs, ... A: I dont think the question is complete for optimization. But anyway, quite straightforward, the ... | |
| Maximizing Area | 11/4/2008 |
| Q: What is the largest possible area for a right triangle whose hypotenuse is 5 cm long, and what are ... A: Let the right angle have sides x and y. Its area A = (1/2)xy but by the pythagoras theorem, x^2 + ... | |
| pre-calculus | 11/4/2008 |
| Q: How do I evaluate: sin (Arctan 2/5)? I don't understand how to do this. Is the answer ... A: Let sin(arctan 2/5) = sin x x = arctan 2/5 tan x = 2/5 Consider x to be one angle of a right-angle ... | |
| Differentiaion help! | 11/1/2008 |
| Q: The manager of a supermarket usually adds a mark-up 20% to the wholesale prices of all the goods he ... A: The manager has a loyal core of F customers i.e those who'll always buy, whatever the price. By ... | |
| student in the college of eng | 10/31/2008 |
| Q: I WANT YOU PLEASE TO PROVE THAT COSHAX+SINHAX=e^AX AND COSHAX-SINHAX=e^AX A: By definition, sinh ax = (e^ax - e^-ax)/2 and cosh ax = (e^ax + e^-ax)/2 So, cosh ax + sinh ax = ... | |
| Trig Identities | 10/29/2008 |
| Q: 1/tan squared x- 1/cot squared x=csc squared x - sex squared x A: Lets start with the identity cos^2(x) + sin^2(x) = 1 dividing through by cos^2(x), we have ... | |
| caculus- reduction formula ( need this question asap plz, like in the next hour or 2) | 10/24/2008 |
| Q: cos(x) e^x dx need this question asap plz... A: What part of it was hard for you to clearly understand? Or what part showed any sign of a lack of ... | |
| Max/min | 10/22/2008 |
| Q: need some help minimizing this equation... (58+Rpi)(500000/pi)(r^-1)+19*pi*r^2 where R is a ... A: Its really good that you've made some effort and so i'll just be guiding you to the right path from ... | |
| derivatives | 10/21/2008 |
| Q: Can you show me how to find the derivative of yx^1/2 - xy^1/2 = 16 implicitly? A: The trick to implicit differentiation is to always add dy/dx after differentiating any expression in ... | |
| find dy/dx using implicit differentation | 10/21/2008 |
| Q: I need to find dy/dx if xey + 1 = xy using implicit differentiation. Can you please help me? A: I'm taking it you meant to write xe^y + 1 = xy The trick to implicit differentiation is to always ... | |
| derivatives | 10/19/2008 |
| Q: 1.) 3x^2-x/(x-1)^3 2.) 5(x+3)^2(2x-1)^5 A: For y = (3x^2 - x) / (x-1)^3 Using the quotient rule, dy/dx = [(x-1)^3][(6x-1)] - [(3x^2 - ... | |
| Optimization | 10/10/2008 |
| Q: An open box is to be made from a twelve-inch by twelve-inch square piece of material by cutting ... A: I cant see the diagram but i picture the situation. You end up with a box with a height x and a ... | |
| Slope of a Tangent | 3/8/2006 |
| Q: Find the points on the graph of y = (x^3)/3 - 5x - 4/x at which the slope of the tangent is ... A: Sorry for the time it took. The tangent of a curve at any point is horizontal when dy/dx = 0 (i.e ... | |
| Calc 2 | 3/3/2006 |
| Q: how do you integrate cos^(-1)x dx A: Sorry for the time it took. Did you mean the integral of arccos x? Arccos x is the inverse cosine of ... | |
| prove that (z=a+bi,absolute... | 3/2/2006 |
| Q: prove that (z=a+bi,absolute value z-zconjugate)=2b A: If z = a + bi The conjugate of z is defined as z' = a - bi And so z - z' = (a + bi) - (a - bi) ... | |
| logarithmic differentiation | 2/27/2006 |
| Q: use logarithmic differentiation to find the derivative of: y=((x^2+1)/(x^2 -1) )^(1/4) A: Sorry for the time it took. For y = [(x^2 + 1)/(x^2 - 1)]^(1/4) we raise both sides to the power of ... | |
| Calculus | 2/26/2006 |
| Q: Why does the definite integral of tan(x)dx evaluated from zero to pi diverge instead of evaluating ... A: Sorry for the time it took. The integral tanx dx evaluated from zero to #(pi) = log(sec #) = log(-1) ... | |
| Functions | 2/25/2006 |
| Q: I am having a hard time creating functions for data since functions have always been a weak aspect ... A: Sorry for the time it took. What you require here is knowledge on the topic of 'curve fitting. ... | |
| Calculus | 2/24/2006 |
| Q: Compute the Derivative f(x)=4x2-3x+5 A: Sorry for the time it took. The formula for finding the derivative of y = ax^n is dy/dx = nax^(n-1) ... | |
| Calculus Questions | 2/16/2006 |
| Q: 1) Find the equation of the tangent line to the graph: y^2 + ln(xy) = 2 at the point (e, 1) 2) ... A: Sorry for the time it took. The slope of the tangent line at any point is the value of dy/dx at that ... | |
| Calculus AB | 2/13/2006 |
| Q: 1. State the domain: g(x)= 2 + ln x 2. Write the expression as a log of a single quantity: 3 ln x ... A: Sorry for the time it took. For f(y) = lny The domain is y > 0, because the logarithm of a negative ... | |
| limits | 2/10/2006 |
| Q: Evaluate the following limit: limit as x approaches negative 2 from the right of: (the absolute ... A: The modulus of y, |y| = y for y > 0 |y| = -y for y < 0 And so, |x+2| = x+2 for x+2 > 0 i.e x > -2 ... | |
| calculus related rates | 2/9/2006 |
| Q: An aircraft climbing at a constant angle of 30o above the horizontal passes directly over a ground ... A: Sorry for the time it took. I'm sorry i'm unable to give a sketch of the situation here, try doing ... | |
| Integrate ((t-1)^1/2)/(t-2)... | 2/8/2006 |
| Q: Integrate ((t-1)^1/2)/(t-2) by substituting u = (t-1)^1/2 A: Sorry for the time it took. To find the integral of [sqrt(t-1)]/t-2 by the substitution u = ... | |
| calc. | 2/7/2006 |
| Q: integrate 1/xrootx dx from 0 to 3 A: Sorry for the time it took. We start by simplifying 1/x(sqrtx) using the laws of indices. sqrtx = ... | |
| calculus | 2/6/2006 |
| Q: How do I find the slope of this problem? (x,3x) and (x + h, 3(x + h)) A: Sorry for the time it took. The slope of the line joining the points (x1,y1) and (x2,y2) is (y2 - ... | |
| Simple Integration | 2/5/2006 |
| Q: What is the integral of: e^ ((x^2)/2) A: Sorry for the time it took. Simple integration? I'm not sure i'll call it that. There are some ... | |
| Integration | 1/29/2006 |
| Q: Integrate by part with respect to x: (x^5)*(e)^(x^3). Please list the exponent integration used in ... A: Sorry for the time it took. Technical problem with the site. To find the integral of x^5 . e^(x^3) ... | |
| Pre-Calculus Question | 1/28/2006 |
| Q: Instructions from textbook: Advanced Mathematical Concepts, Pre-calculus with Applications, by ... A: Sorry for the time it took. Technical problem with the site. If 2x^2 + 4xy + 2y^2 + 2(sqrt2)x - ... | |
| epsilon delta proof of limit | 1/25/2006 |
| Q: lim as x approaches 3 of the square root of (x cubed - 2)=5; PROVE USING EPSILON DELTA METHOD. I ... A: Sorry for the time it took. To prove that the limit of a function f(x) is equal to L as x approaches ... | |
| I have a graph with the y... | 1/24/2006 |
| Q: I have a graph with the y axis as Cost of Goods Sold and the x axis is Price. The plotted points ... A: I'm only askng you to do this in order to save time. Do all the points fall on a single line? If ... | |
| limits and continuity | 1/18/2006 |
| Q: I need help in the general areas of limits and continuity (i.e. calculating limits, defining limits, ... A: Sorry for the time it has taken. I really can't help you with these at the moment. But you can, ... | |
| Related rates | 1/16/2006 |
| Q: The length of a rectangle is changing at a rate of 2 cm/s, while the width is changing is such a way ... A: Take the width and length of the rectangle to be x and y respectively and the formula for the area ... | |
| Calculus | 1/15/2006 |
| Q: I am taking this course for University prep. Q: Let f(x) = x^2 + 2 and g(x) = (square root of) 1 - ... A: a) For f(x) = x^2 + 2 x can take all real values while f(x) >= 2 For g(x) = sqrt(1 - x^2) 1 - x^2 >= ... | |
| Calculus | 1/13/2006 |
| Q: I'm a retired (66) photographer who has had a life-long interest in mathematics. However, my brain ... A: Let's make use of the equation of motion involving velocity and distance v^2 = u^2 + 2as where u,v,s ... | |
| e | 1/12/2006 |
| Q: how do you multiply e^.18 to e^.18 and also how would you divide it? A: I don't quite get your question, you seem to have written the same expression twice. Dividing them ... | |
| distance and velocity and acceleration | 1/9/2006 |
| Q: A particle starts at time t=0 and moves along the x-axis so that its position at any time t>=0 is ... A: Please forgive the delay. First you simplify [(t-1)^3](2t-3) to get x(t) = (t^3 - 3t^2 + 3t -1)(2t - ... | |
| reduction formula for tan^n(y) | 1/6/2006 |
| Q: salam alikom i need the detailed solution for tan^n(y) integral best regards A: Sorry for the time taken. To find the reduction formula for tan^n(x) we know that tan^2(x) = ... | |
| Calculus | 1/5/2006 |
| Q: find the function f that has the derivative f prime of x = 4x-1 and whose graph passes through the ... A: Sorry for the time taken. For f'(x) = 4x - 1 we have to integrate to get f(x) f(x) = $(4x - 1)dx ... | |
| a calculuc hater | 1/4/2006 |
| Q: can u please send information or notes that fully explains and teaches calculus for trigonometry. or ... A: Sorry for the time taken. I actually don't have any links to give to you but i could still give you ... | |
| what is 0/0? | 12/17/2005 |
| Q: What is zero over zero? Please give me a proof of the answer? A: Sorry for the time taken. The expression 0/0 in mathematics is referred to as the indeterminate ... | |
| Calculus | 12/12/2005 |
| Q: Find Center and Radius for x^2-6x+y^2+2y-15=0 A: For a circle with centre (h,k) and radius r, its equation is (x-h)^2 + (y-k)^2 = r^2 So for the ... | |
| Volume of a Solid | 12/12/2005 |
| Q: I need to find the volume of the resulting solid: Region bounded by y=sin(x), x=pi/6, x=pi/3, and ... A: Sorry for the time taken. The integral is of course $pi.(sinx)^2 dx To solve this, we make use of ... | |
| limited | 12/11/2005 |
| Q: can you find anther simple way to analyis lim (1-cosx)/x^2 x_ 0 ... A: Inserting the limit directly results in the indeterminate form 0/0 We therefore insert the limit ... | |
| intergration | 12/7/2005 |
| Q: intergrate 1/3+4coshx A: Forgive the time taken. For our purpose, $ represents the integral sign. By definition, cosh x = ... | |
| Calculua | 12/6/2005 |
| Q: The motorcycles memorabilia Company wishes to design an open top box with a square base whose volume ... A: Forgive the time taken. The volume of the tank V = lx^2 where l is the height of the tank and x is ... | |
| calculus | 12/5/2005 |
| Q: f(x)= 4x^3+ ax^2+ bx + k a,b,k are constants. f(x) has a local minimum at x=-1 and the graph has a ... A: A local maximum or minimum occurs when dy/dx = 0 Typically, points of inflexion occurs when ... | |
| integration by parts. | 12/5/2005 |
| Q: do you know how to integrate sin(ln(x))dx between the limits 1 and e using integration by parts? ... A: I hope you're already familiar with the topic because my explanation would require that. Integrate ... | |
| Calculus-Power series | 12/2/2005 |
| Q: How would you write a power series for a double alternating sign without spliting the series up? ... A: I'm sorry for the time taken, i was away for the weekend. Well, it looks like you could put it as ... | |
| Trig/Calc | 12/1/2005 |
| Q: How do you simplify the trig function sin(theta + pi)/ cos(theta - pi) A: I'm sorry it took some time. Well, as it happens on the sin and cos graphs, any movement of pi units ... | |
| integration | 2/11/2005 |
| Q: my girlfriend is having major trouble integrating (x^5)/((x^4)-16)dx. She has broken the problem up ... A: Please forgive the delay. I've been on vacation and i still am. I'm just taking time out to do this. ... | |
| hard polynomials | 2/8/2005 |
| Q: (x^3-1)/(x-1) I know the answer is x^2 +x +1,however I don't understand how to get that. One reason ... A: Please forgive the delay.I'm on vacation. I'll just take it from where you stopped. After getting ... | |
| Calc. 2 | 2/2/2005 |
| Q: This is my second week of Calc two and we are learning how to do integration of inverse trig. ... A: Please forgive the delay. I'm sorry i can't help with these at the moment. I'm on vacation,forgive ... | |
| Calculus--critical points | 2/2/2005 |
| Q: Ok... I have a problem, and don't understand how to solve it...start to finish.. The book asks for ... A: Please forgive the delay. I'm sorry i can't help with these at the moment. I'm on vacation,forgive ... | |
| tangent lines | 1/31/2005 |
| Q: I am stuck on a problem. Find the equation of the tangent line to the graph of y=x to the third at ... A: For y = x^3 The equation of the tangent at any point is dy/dx = 3x^2 At the point (1,1) i.e x = 1 ... | |
| Integration by parts | 1/30/2005 |
| Q: The question is first make a substitution and then use integration by parts to evaluate the ... A: Sorry for the delay. I'll have to say you've done really well and got the right result. But it would ... | |
| Calculus | 1/13/2005 |
| Q: Find the area bounded by the curves y=x^2 and x=y^2 A: Please forgive the delay. I've been on vacation, but didn't notify the allexperts board. The two ... | |
| trigonometry | 1/8/2005 |
| Q: cos^4A- sin^4= cos2A prove this with steps A: Please forgive the delay. I was on vacation. Firstly, we know that cos(A+B) = cosAcosB - sinAsinB ... | |
| AP Calculus. | 1/1/2005 |
| Q: Consider the curve defined by the equation y+cosy=x+1 for 0 i less then or equal to y which is less ... A: Please forgive the delay. For y + cos y = x + 1 differentiating with respect to x (1 - sin y)dy/dx = ... | |
| helppppppppppppp | 12/25/2004 |
| Q: i need help cause i havent pay any attention t my math class and now i want to learn and the thing ... A: I think i really need you to be specific about your requirements. For this example, the actual ... | |
Calculus
Answers by Expert:
Ahmed Salami
Top Expert on this page
Expertise
I can provide good answers to questions dealing in almost all of mathematics especially from A`Level downwards. I believe i would be very helpful in calculus and can as well help a good deal in Physics with most emphasis directed towards mechanics.
Experience
An engineering graduate. I have been doing maths and physics all my life.
©2012 About.com, a part of The New York Times Company. All rights reserved.