Workshop #24 (Calculus III) | Answer Key - Edubirdie

University:
Seattle Pacific University
Course:
MAT 1236 | Calculus III
Academic year:

2024
Views:

413

Pages:

1
Author:

yisihogo4aq

Workshop #24 1. Evaluate the integral. Z π Z 1 Z √1−z 2 z sin x dydzdx (a) 0 0 Z 1Z 2Z 0 4−x2 −y 2 (b) 0 0 xyez dzdydx 0 2. There are two ways to represent the volume of the region E, which is bounded by the parabolic cylinder y = x2 , and the planes y = z, y = 9, and z = 0 (a partial graph of the region is given in the figure). Represent this volume using both a double integral and also using a triple integral. Use one of these to compute the actual volume. ZZZ 3. We want to set up the integral f (x, y, z)dV , where E is the region bounded by the parabolic E cylinder y = x2 , and the planes y = z, y = 9, and z = 0 (a partial graph of the region is given in the figure). Set up this integral as a dxdydz integral and also as a dxdzdy integral.

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