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15.3-15.4

# 15.3-15.4 - 2 Sketch the region of integration and evaluate...

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MATH 231 Group Work Quiz Related 1. Evaluate the double integral: (a) ZZ D (2 x + y ) dA where D is the region bounded by y = x and y = x 2 (b) Z 1 0 Z 2 - y 2 y ( x + y ) dx dy (c) ZZ D 2 x 2 y dA where D is the triangular region with vertices (0 , 0), (1 , 2), and (0 , 3) (d) ZZ D ( x +4 y ) dA where D is the region bounded by the circle with center the origin and radius 4 (e) Z 2 0 Z 2 x - x 2 0 p x 2 + y 2 dy dx
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Unformatted text preview: 2. Sketch the region of integration and evaluate the integral. (a) Z √ π Z √ π y cos ( x 2 ) dxdy (b) Z 1 Z 1 x e x/y dy dx 3. Find the average value of x sin y over the region D enclosed by the curves y = 0, y = x 2 , and x = 1. 1...
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