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.
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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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