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Solutions to various math problems from exam 142 in spring 1999. The problems involve determining areas, volumes, and finding integrals of functions. The methods used include setting up integrals and solving using calculators.
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Math 142 Exam 2 Spring 1999 Name
No Work-No Credit SS#
1 0
2
6
{( 2 y ) ( 2 y )} dy
2 , y = - x
2 , x = 1, x = 2 about the line x = -3 and
determine the volume of the solid generated. (First set up the integral, then you may
solve using the calculator)
2 2 2 π x 3 ( 2 x ) dx 135. 09
4 x , x = 0, x = π, y = 0 , about the x-axis
and determine the volume of the solid generated. (Set up the integral, then solve using
the TI-86)
4 2 Ai = π (sin x ) , then Vi xdx
8
π π 0
8 sin xdx 2. 699
x = 2 cos t y = sin t (^0) ≤ t ≤ 2 π
4 sin cos 9. 69
2 2 2
π