a8 - y = 1-x 2 and y = | x | . f) ZZ D xy 4 x 2-y 2 dA...

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Math 237 Assignment 8 Due: Friday, July 25th 1. Evaluate the following integrals. a) ZZ D xy 2 dA where D is the region bounded by y = x , y = 2 x and x = 3. b) ZZ D sin( x + y ) dA where D is the triangular region with vertices (0 , 0), ( π, 0), and ( π 2 , π 2 ). c) Z 1 0 Z 1 y sin( x 2 ) dx dy . d) ZZ D x dA where D is the annular region 1 x 2 + y 2 2. e) ZZ D e x 2 + y 2 dA where D is the region bounded by
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Unformatted text preview: y = 1-x 2 and y = | x | . f) ZZ D xy 4 x 2-y 2 dA where D xy is the region bounded by the lines y = 2 x , y = 2 x + 2, y =-2 x + 1, y =-2 x + 3. g) ZZ D xy x 2 dA , where D xy is bounded by the ellipse 5 x 2 + 4 xy + y 2 = 1....
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