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Unformatted text preview: Practice Exam 1 Solutions Most of the multiple choice answers are (A); the following are typos: The answer to 2 is 8 , which is (C). The lamina in 3 should be = { ( x,y ) : x 2 + y 2 2 ,y } (NOT x 2 + y 2 = ). The answer to this problem is (A). In 7, the volume of is written twice; otherwise it is fine, and the answer is (A). 8: The integrand should be x 2 y . The answer to this problem is 16, which is not listed as a choice. (Note: Even if you assume the function is x + 2 y the answer you got is still not listed as one of the choices.) In 9, the transformation should have y = 2 v (NOT y = 3 v ) and the answer is 0, which is not listed as one of the choices. 10: The answer is 30, which is not listed. 13. Evaluate the interated integral R 3 R 9 y 2 x 2 y dxdy by converting to polar coordinates. First, we are integrating over the region D = { ( x,y ) : p 9 y 2 x , y 3 } which corresponds to the quater of the circle of radius 3 in the second quadrent. Thereforecorresponds to the quater of the circle of radius 3 in the second quadrent....
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This note was uploaded on 11/16/2011 for the course MULTIVARIA 251 taught by Professor Staff during the Fall '11 term at Rutgers.
 Fall '11
 Staff

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