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Unformatted text preview: Z 3 Z √ 9y f ( x,y ) dxdy . 9. SET UP (Do not evaluate) the integral Z Z D ( x + y ) dA , where D is bounded by y = √ x and y = x 2 . 10. If R = 0 ≤ x ≤ 6 , ≤ y ≤ 4 } and m = 3 ,n = 2 and we would like to use the upper right corners of the squares, write all sample points that would be used to calculate the double Riemmann sum. 2 MAC 2313 — EXAM 4 Free Response NAME UF ID YOU MUST SHOW ALL OF YOUR WORK TO RECEIVE CREDIT!! 1. Evaluate the integral Z 1 Z √ 2y 2 y ( x + y ) dxdy 3 2. Find the volume of the solid that lies within the sphere x 2 + y 2 + z 2 = 4, above the xy plane, and below the cone z = p x 2 + y 2 . 4...
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This note was uploaded on 12/15/2011 for the course MAC 2313 taught by Professor Keeran during the Spring '08 term at University of Florida.
 Spring '08
 Keeran
 Calculus, Geometry

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