Math252Quiz4F07

# Math252Quiz4F07 - Math 252 Name QUIZ 4(CHAPTER 17 MATH 252...

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Math 252 Name: ________________________ QUIZ 4 (CHAPTER 17) MATH 252 – FALL 2007 – KUNIYUKI SCORED OUT OF 125 POINTS MULTIPLIED BY 0.84 105% POSSIBLE Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers! No notes or books allowed. A scientific calculator is allowed. 1) Reverse the order of integration, and evaluate the resulting double integral: cos 1 + y 4 ( ) dy dx x 3 3 0 27 . Give a simplified exact answer; do not approximate. Sketch the region of integration. (20 points) YOU MAY CONTINUE ON THE BACK.

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2) Let R be the region in the xy -plane that is bounded by the rectangle with vertices 1,3 ( ) , 7,3 ( ) , 7,5 ( ) , and 1,5 ( ) . Set up a double integral for the surface area of the portion of the graph of 9 x 2 + 4 y 2 + z 2 = 1000 z > 0 ( ) that lies over R . Make sure your double integral is as detailed as possible; do not leave in generic notation like R or f . Also, do not leave dA in your final answer; break it down into d variable ( ) d variable ( ) . Do not evaluate. (14 points)

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Math252Quiz4F07 - Math 252 Name QUIZ 4(CHAPTER 17 MATH 252...

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