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Unformatted text preview: Score: Problem 1: points Problem 2: points 1 Problem 1 (5 points) Let D be the planar domain D = ± ( x,y )  x 2 + ( y1 / 2) 2 ≤ 1 / 4 and 0 ≤ x ≤ y ² . Draw D and calculate the double integral ZZ D x 2 x 2 + y 2 dA. 2 Problem 2 (5 points) 1. Calculate the triple integral ZZZ W  xyz  dV , where W = { ( x,y,z )  x 2 + y 2 + z 2 ≤ 1 } . 2. Find the volume of the ellipsoid x 2 a 2 + y 2 b 2 + z 2 c 2 ≤ 1. 3...
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 '08
 OBLOMKOV
 Multiple integral, 20 min, HONOR PLEDGE

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