MAT286-2006Spring - -------------------------------MAT 286...

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Unformatted text preview: -------------------------------MAT 286 Final Exam Spring 2006 Instructor:Name:Student ID:1. Integrate the following indefinite integrals: ( 1 )a Jl -x + 3eX -sin(2x)+ tanx dx 4x 2. Evaluate the following definite integrals: 23xd a. J2x2 + 4 x o 7! b. Jcos(2x)dx -,,/2 3. An object is falling from a building with acceleration a(t)=-32 feet per second'. Initially, its velocity is 0 feet per second and its height is 400 feet. a. Find the velocity v(t) of the object at time t. b. Find the position s(t) of the object at time t. 4. a. Set up the integral(s) for the area between the curves y = _x 2 and y = 2x - 3. Make a sketch. Do NOT evaluate. b. Set up the integral(s) for the area between the curves y = sinx and y = cosx on the interval [O,n]. Make a sketch. Do NOT evaluate. 5. A solid of revolution is formed by rotating about the x-axis the region bounded by the curve from y =.J2x2 + 1 from x =0 to x =2. Find the volume of the solid....
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MAT286-2006Spring - -------------------------------MAT 286...

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