03/11/14

Find the integral?
Find the integral of (2 du)/(1+3u). Answer: (2/3)*ln abs(1+3u)+C abs means absolute value. Please show all your work. Thanks.
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03/09/14

Please help me with math?
If the side e of a square is increased by 1%, then the area is increased approximately    a) 0.02e b) 0.02e^2 c) 0.01e^2 d) 1% e) 0.01e    Answer: B   Please show all your work. 
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03/09/14

Find g'(5)?
If f(x)=x^3-3x^2+8x+5 and g(x)=f^-1 (x), find g'(5).   Answer: 1/8   Please show all your work.
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03/09/14

Find the minimum value?
Find the minimum value of the slope of the curve y=x^5+x^3-2x.   Answer: -2   Please show all your work. 
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03/06/14

Find the limit?
Find the limit of x^2*sin(1/x) as x approaches infinity.   Answer: ∞   Please show all your work. Thanks.
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03/06/14

At what point?
If f(x)=2x^3-6x, at what point on the interval 0≤x≤sqrt(3), if any, is the tangent to the curve parallel to the secant line on that interval?    Answer: 1   Please show all your work. 
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02/28/14

Find the y-coordinate?
On the interval [0, 2pi] there is one point on the curve r=θ-2cosθ whose x-coordinate is 2. Find the y-coordinate there.    Answer: -3.764   Please show all your work.
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02/27/14

Use Euler's method?
Suppose dy/dx=10x/(x+y) and y=2 when x=0. Use Euler's method with two steps to estimate y at x=1.    Answer: 3   Please show all your work.
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02/26/14

Find the integral?
Find the integral of sqrt(4-x^2)dx from 0 to 2.    Answer: pi   Please show all your work.
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02/24/14

Find the smallest value?
Find the smallest value of θ in the interval [0, 2pi] for which the rose r=2 cos (5θ) passes through the origin.   Answer: pi/10   Show your work.
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02/24/14

Which equation includes?
Which equation includes the curve defined parametrically by x(t)=cos^2 (t) and y(t)=2 sin(t)?   a) x^2+y^2=4   b) x^2+y^2=1   c) 4x^2+y^2=4   d) 4x+y^2=4   e) x+4y^2=1   Answer:... more
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02/22/14

Find the area?
The tangent line to the graph y=e^(2-x) at the point (1, e) intersects both coordinate axes. Find the area of the triangle formed by this tangent line and the coordinate axes?   Answer: 2e    
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02/16/14

Find its acceleration vector?
A particle moves in the xy-plane so that at any time t its coordinates are x=t^2 and y=4-t^3. Find its acceleration vector at t=1.    Answer: (2, -6)   Please show all your work. 
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02/13/14

Find the approximation?
If the integral of (x^2-2x+2)dx from 0 to 6 is approximated by a lower sum using three inscribed rectangles of equal width on the x-axis, find the approximation. 
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02/13/14

Find d^2y/dx^2?
If x=sin t and y=cos^2 (t), find d^2y/dx^2 at t=pi.   Can you please find d/dt and dy/dx? That's the only thing I need to solve the problem since I know dx/dt. 
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02/12/14

Find the general solution?
Find the general solution of the differential equation y'=y+x^2.   Answer: Ce^x-x^2-2x-2   Please show all your work.
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02/12/14

Find the integral?
Find the integral of sqrt(4-x^2)dx from 0 to 2.   Answer: pi   Please show all your work.
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02/11/14

Find the series?
Find the series of (1/3)^i from i=n to infinity.   Answer: (3/2)(1/3)^n    
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02/11/14

Is Real Analysis useful for electrical engineering majors?
Is Real Analysis useful for electrical engineering majors? Is Real Analysis pure math? Can this course be helpful to invent electronic devices for EE majors?
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02/11/14

Where can I find AP Calculus BC Multiple Choice questions and answers for 2013 and 2012?
Can you give me the website? I need them for practice but couldn't find it on the college board website, it only provides free response questions.
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02/09/14

Find the position vector?
A particle moves in the xy-plane so that its velocity vector at time t is v(t)=(t^2, sin(pi*t)) and the particle's position vector at time t=0 is (1, 0). Find the position vector of the particle... more
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02/09/14

For what values of x?
For what values of x does the curve y^2-x^3-15x^2=8 have horizontal tangent lines?    Answer: x=0 and x=-10
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02/03/14

Find f'(x)?
If f(x)=(x^2+1)^x, find f'(x).    
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02/02/14

How many zeros does p(x) have?
A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1, 1), a relative maximum at (5, 7) and no other critical points. How many zeros does p(x) have?    Answer:... more
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02/01/14

Find the acceleration vector?
For any time t≥0, if the position of a particle in the xy-plane is given by x=t^2+1 and y=ln(2t+3), find the acceleration vector.    Answer: (2, -4/(2t+3)^2)   Please show all your work.
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