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Unformatted text preview: Quiz 1 Name____________ Section___________ TA______________ The finite region bounded by y = x 2 and y = 4 is rotated about the x-axis. Find the volume of the solid formed. You should include a reasonable sketch of the solid. Please set up the integral completely, but you do not need to evaluate it. x2 = 4 x = 2 Intersection points are (-2,4) and (2,4). The area of the cross section at x is A( x) = ( R 2 - r 2 ) where R = 4 and r = x 2 , so
V = (42 - ( x 2 ) 2 dx -2 2 ...
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This note was uploaded on 04/03/2008 for the course MATH 133 taught by Professor Wei during the Spring '07 term at Michigan State University.
- Spring '07