| Subject | Date Asked | Expert |
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| need help | 7/17/2008 | Alon Mandes |
Q: can uyou please tell me what is the integration of square of <dx>
A: I'm not quite sure that I understood what you meant, but here's my answer : dx is the infinitesimal ...
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| integrals | 7/17/2008 | Scotto |
Q: I've had Calculus 2 before, but am taking it over because it's been about 9 years since I last had ...
A: Out of an article (//en.wikipedia.org/wiki/Riemann_sum), I have taken the following: "In ...
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| cal 1 | 7/16/2008 | Alon Mandes |
Q: a card board box of 32 inches cube in volume with a square base and open top is to be constructed. ...
A: Set x as the length or width of the base. We know that the volume is 32 so the height h=32/x^2 ...
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| Inequalities | 7/16/2008 | Scotto |
Q: 1) f(x)= (2x-3)/(x-5) What is modulusf(x)modules > (or equal to) 3/2. I have found the answer of ...
A: 1) If f(x)=(2x-3)/(x-5), then by what you have said the mod looks like it takes the absolute value ...
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| calculus | 7/15/2008 | Alon Mandes |
Q: What is the formula to calculate the slope of plane?
A: The equation of a line in 2 dimension is ax+by=c, where -b/a is the slope, or the tangent(of the ...
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| Calculus-Related Rates | 7/15/2008 | Scotto |
Q: I tried to work on these problems but I'm not completely sure how to start it and if I was doing it ...
A: The car is moving one way at 15 m/s and the boat is moving 4 m/s. Multiply the speed by 5 seconds to ...
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| derivative | 7/15/2008 | Scotto |
Q: The fundamental concept of the derivative is convergence to a limit..ie an unknown value can be ...
A: If you had a simple function, for example, f(x)=x+2 for all x>0, then f(0) would not be defined. ...
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| Inequalities | 7/15/2008 | Scotto |
Q: 1) f(x)= (2x-3)/(x-5) What is modulusf(x)modules > (or equal to) 3/2. I have found the answer of ...
A: Sorry for the error in my answer to 2. It should have read: 2) Note that the answer needs x=a ...
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| Inequalities | 7/13/2008 | Scotto |
Q: 1) f(x)= (2x-3)/(x-5) What is modulusf(x)modules > (or equal to) 3/2. I have found the answer of ...
A: For future references, ≥ is alt-242 and ≤ is alt-243. 1) I'm not sure what ...
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| limit question | 7/11/2008 | Alon Mandes |
Q: I have a question similar to lim x approaches infinity of e^-x times e^x. It seems to me that the ...
A: Ok, our function is e^(-xe^x). Let's get started first by intuition: e^(-xe^x) can be written as ...
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| an angle problem | 7/10/2008 | Scotto |
Q: I'm hoping you can help me! Here's theA boat is being pulled by rope towards a dock that is 6 feet ...
A: It is known that 6²+y²=x² where y is the diagonal and x is the base of the right triangle with the ...
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| differentiation | 7/10/2008 | Scotto |
Q: sir how can i find the derivative of x raise to the power 5/2 by definition method? actually this ...
A: I'm not entirely sure what, 'derivative of x to the power 5/2 by ab initio method.can you solve it ...
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| rate of change in rectangle | 7/10/2008 | Scotto |
Q: I'm having difficulty setting these equations up. Any help would be greatly appreciated! Robert ...
A: dL/dt = -2, dW/dt = 2, L=12, W=5 Area is A=WL, perimeter is P=2W+2L, lengths of the diagonal of the ...
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| Delta-epsilon proof | 7/10/2008 | Scotto |
Q: I need to do a delta-epsilon proof for the limit as {x goes to (5pi)/3} for cosx. I kind of ...
A: Using the Taylor's polynomial to approximate the cos(x) curve around x=2π/3, we get ...
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| Pre-cal Trigonometry | 7/9/2008 | Scotto |
Q: I'm currently taking pre-cal, but I just don't understand how to simplify, solve and varify using ...
A: sin^3(θ)-cos^3(Θ)= (1+sin(θ)cos(θ))(sin(θ)-cos(θ)) In the difference ...
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| differentiation | 7/9/2008 | Abe Mantell |
Q: sir how can i find the derivative of x raise to the power 5/2 by definition method? actually this ...
A: Let f(x)=x^(5/2), thus: f'(x)=limit(h->0) [(x+h)^(5/2) - x^(5/2)]/h now multiply by [(x+h)^(5/2) + ...
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| differentiation | 7/9/2008 | Scotto |
Q: sir how can i find the derivative of x raise to the power 5/2 by definition method? actually this ...
A: To raise a number to the x to the 5/2 power, take the squareroot and raise it to the 5th power. ...
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| calculus | 7/8/2008 | Scotto |
Q: i trying to find dx/dy of 2x^3 - 3x^2y + 2xy^2 - y^3 = 2 i came up with dx/dy = -6x^2 + 6xy - 2y^2/ ...
A: That answer is almost right except that it left out y' (dy/dx). The derivatives of each of the ...
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| MVT | 7/8/2008 | Scotto |
Q: I am working on a Mean Value Theorem problem and I was hoping you could take a look at my ...
A: Incorrect for solving: The first method gives the average of the two endpoints only. The second ...
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| composite functions | 7/8/2008 | Scotto |
Q: ...I am working on a composite function question and i am sort of lost. The question is: Let K(x) ...
A: This looks like one of those problems where they supply so much information so that people get ...
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| Calculus | 7/8/2008 | Scotto |
Q: 1.I am integrating sqrt(x^2+a^2) by parts,but I came to the point when I have find the derivative of ...
A: 1. The problem needs to be integrated by a trig substitution. Draw a right triangle with the far ...
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| Related Rates | 7/8/2008 | Abe Mantell |
Q: I am having a problem solving a related rates problem. The height of a rectangular box is 10 ...
A: Since h is constant, dh/dt=0 and no need to treat h as a variable. So, V=L*W*10 or V=10LW...now ...
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| Taylor's series | 7/7/2008 | Scotto |
Q: With the aid of anything (excel , computer code), how can I argue that the series 1+1/2+1/3+1/4+1/5 ...
A: This series can be made into a function f(x)=int(1/a) on [a-1,a] for all a from 1 to ∞. The ...
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| calculus | 7/3/2008 | Scotto |
Q: calculate the area between the curves(transedental): 1.f(x)=2sin(x) g(x)=tan(x) ...
A: The curves given are 1.f(x)=2sin(x) g(x)=tan(x) 2.f(x)=2sin(x)+sin(2x) 3.f(x)=x^3-x^2=-x^2+9 I am ...
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| maths+trigonometry | 7/3/2008 | Scotto |
Q: prove that: sin^2(x) + cos^2(x) = 100 ANSWER: Take a triangle with b as the near side, a as the ...
A: The 100 is actually in the question that was asked by you. This is what was in ...
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| maths question | 7/2/2008 | Scotto |
Q: please give me the proof of the equation Cos2X+Cos2Y+Cos2Z=1
A: This is just like a three dimensional triangle. The Pythagorean theorem states that a²+b²=c² when ...
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| calculus | 7/2/2008 | Scotto |
Q: 1. If A and B are constants, show that the derivative with respect to x of each of the following ...
A: I'll assume in both cases that the exponet is done before the trig funtion. If not, let me know. ...
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| Numbers | 7/2/2008 | Scotto |
Q: What are numbers?
A: Numbers are numbers. They could be positive integers: 1, 2, 3, 4, etc. They could be negative ...
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| simplifying | 7/1/2008 | Scotto |
Q: how can this be simplified? sin(5lnx).
A: One way would be to say that sin(5ln(x))=sin(ln(x)^5). ...
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| limits | 6/30/2008 | Scotto |
Q: Limit sin-x (sin inverse X) x->0 ------- x
A: Is this problem lim(x->0)((sinx-x)/x)? You can a) apply L'Hosital's rule b) put in the Taylor's ...
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| calculus I (geometry) | 6/29/2008 | Scotto |
Q: If you have a moment I could uses a little assist, I was trying to work this problem from my calc ...
A: D1²=(x+2)²+(1-0)²=x²+4x+5, D2²=(x-3)²+(4-0)²=x²-6x+25, and D3²=(3+2)²+(4-1)²=34. D1 hypoteneuse Is ...
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| differential | 6/29/2008 | Scotto |
Q: could you give me the reason for choosing f'(x)=0;if f(X)is a real function?and also could you give ...
A: The reason for choosing f'(x)=0 if for finding the extreme points of the function since when an ...
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| Preliminaries, Polar Coors, Complex numbers | 6/28/2008 | Scotto |
Q: Good day Scotto, thanks for helpin out on these 2 qns that have been bugging me lately... 1)How do ...
A: 1) Note that both of the curves start at (0,1) since sin(0) is 0. Doing this problem we will take ...
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| finding the equation of the tangent line | 6/27/2008 | Scotto |
Q: My problem is: The point P(5,2) lies on the curve y=sqrt(x-1). Find an equation of the tangent ...
A: I'm not sure if that's the right direction or not. Here is what I do know. To find a tangent line, ...
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| Calculus I (Substitution Rule and Definite Integrals) | 6/26/2008 | Scotto |
Q: Please help! I'm not sure how to do this one and I must have it done by tomorrow (6-27-08)! I was ...
A: Have you ever done ∫u dv = uv - ∫v du? Let u=x, then du=dx. Let dv = 1/(sqrt(1+2x)) dx, ...
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| calculus | 6/24/2008 | Scotto |
Q: A conical tank (with vertex down) is 20 ft across the top and 24 ft deep. Water is flowing in to the ...
A: The volume of a conical tank is pi*r^2*h/3 where r is the radius and h is the height. We know that ...
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| radian interval notation | 6/24/2008 | Scotto |
Q: f(x)= 1/sqrt(1+sin x) Tell where f is continuous. Give your answer in interval notation. I know it ...
A: I'd not try to write it with parenthesis. I'd put all 'The function f is continuous at all real ...
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| Maximum-minimum problems | 6/24/2008 | Paul Klarreich |
Q: Find the longest beam that can go around a hallway with width A to a hallway with a width B. Tried ...
A: Questioner: Willis Category: Calculus Private: No Subject: OptimizationFind the longest ...
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| calculus | 6/22/2008 | Scotto |
Q: I have finished most of my calculus homework assignment, but I can't seem to figure out these ...
A: The derivative of ln(f(x)) is f'(x)/f(x). The derivative of e^f(x) is f'(x)e^f(x). The derivative ...
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| Basic derivatives | 6/22/2008 | Paul Klarreich |
Q: I have a couple of questions regarding my calculus homework. I have already completed most of the ...
A: Questioner: Ryan Category: Calculus Private: No Subject: calculusI have a couple of ...
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