Math200pj4

Math200pj4 - z = 2x 2 + y 2 and z = 8 x 2 2y 2 and inside...

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Math 200 Fall, 2007 Project #4 Instructions: Use your knowledge of Maple commands to obtain your solutions. Include explanations of how you obtain your answers, and illustrate your work with graphs whenever appropriate. 1. Evaluate the iterated integral where D={(x,y)|0 x 3, 1 y 2} and verify that the iterated integral is the same for dydx. 2. Compute the volume between the paraboloids
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Unformatted text preview: z = 2x 2 + y 2 and z = 8 x 2 2y 2 and inside the cylinder x 2 + y 2 = 1. 3. Compute where B= {(x,y,z)| 0 x 1, 0 y 2, 0 z 3}. Also ve rify that the triple integral is the same for dydzdx, dzdxdy, dxdzdy, dydxdz, and dzdydx. 4 . Use a triple integral to find the volume of the solid bounded by the elliptic cylinder 4x 2 + z 2 = 4 and the planes y = 0 and y = z + 2....
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