Give two solutions for each of the following integrals. One should be a "standard" solution using integration, and the other should be a geometric solution that does not use integration. (a) SSSydV where E is the region above the xy-plane and below the cone x² + y² z=2- Solve it by integration and by grometry

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 25E
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1. Give two solutions for each of the following integrals. One should be a “standard" solution
using integration, and the other should be a geometric solution that does not use integration.
(a)
SLLE y dV where E is the region above the xy-plane and below the cone
z = 2 – Vx2 + y?
Solve it by integration and by grometry
Transcribed Image Text:1. Give two solutions for each of the following integrals. One should be a “standard" solution using integration, and the other should be a geometric solution that does not use integration. (a) SLLE y dV where E is the region above the xy-plane and below the cone z = 2 – Vx2 + y? Solve it by integration and by grometry
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