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Draw the triangular cylinder (i.e., prism) described below. The three vertices of the triangular base: (0, 0, 0), (1, 2, O), (0, 2, 0). The three vertices on the top: (0, 0, 5), (1, 2, 5), (O, 2, 5). Next, write a triple integral that describes its volume, using the order dæ dy dz. Then, evaluate the integral, showing all your actual steps of integration.

Draw the triangular cylinder (i.e., prism) described below. The three vertices of the triangular base: (0, 0, 0), (1, 2, O), (0, 2, 0). The three vertices on the top: (0, 0, 5), (1, 2, 5), (O, 2, 5). Next, write a triple integral that describes its volume, using the order dæ dy dz. Then, evaluate the integral, showing all your actual steps of integration.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Draw the triangular cylinder (i.e., prism) described below. The three vertices of the triangular base: (0, 0, 0), (1, 2, 0), (0, 2, 0). The three vertices on the top: (0, 0, 5), (1, 2, 5), (0, 2, 5). Next, write a triple integral that describes its volume, using the order dæ dy dz. Then, evaluate the integral, showing all your actual steps of integration. Be sure to use the given order.
Transcribed Image Text:Draw the triangular cylinder (i.e., prism) described below. The three vertices of the triangular base: (0, 0, 0), (1, 2, 0), (0, 2, 0). The three vertices on the top: (0, 0, 5), (1, 2, 5), (0, 2, 5). Next, write a triple integral that describes its volume, using the order dæ dy dz. Then, evaluate the integral, showing all your actual steps of integration. Be sure to use the given order.
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