1) Evaluate the double integral ∬Dx^2 y dA, where D is the top half of the...

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1) Evaluate the double integral ∬Dx^2 y dA, where D is the tophalf of the disc with center the origin and radius 2 by changing topolar coordinates.

2) Use a double integral to find the area of one loop of therose r= 6cos (3θ).

3) Use polar coordinates to find the volume of the solid belowthe paraboloid z=50−2x^2−2y^2 and above the xy-plane.

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3.8 Ratings (408 Votes)
For the given region D we have In    See Answer
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