Math252Quiz4F08

# Math252Quiz4F08 - Math 252 Name: _ QUIZ 4 (CHAPTER 17) MATH...

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Math 252 Name: ________________________ QUIZ 4 (CHAPTER 17) MATH 252 – FALL 2008 – 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: y 113 + x 9 dx dy y 4 2 ± 0 16 ± . Give a simplified exact answer; do not approximate. Sketch the region of integration; you may use different scales for the x - and y - axes. (20 points). YOU MAY CONTINUE ON THE BACK.

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2) Evaluate e 3 x 2 + 3 y 2 dy dx 0 ± x 2 ² ± 2 2 ² . Your answer must be exact and simplified. You do not have to approximate it. (16 points). YOU MAY CONTINUE ON THE BACK.
3) Find the surface area of the portion of the graph of z = 7 x + 1 2 y 2 that lies over R , where R is the region in the xy -plane bounded by the rectangle with vertices 0, 0 () , 4, 0 , 0, 2 , and 4, 2 . Give an exact answer; you do not have to approximate it. Distance is measured in meters.

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## Math252Quiz4F08 - Math 252 Name: _ QUIZ 4 (CHAPTER 17) MATH...

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