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The part of the sphere x² + y² + z² = 1 inside the upper part of the cone x² + y? = z².

The part of the sphere x² + y² + z² = 1 inside the upper part of the cone x² + y? = z².

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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8. The part of the sphere x² + y² + z² = 1 inside the upper part of the cone x² + y? = z². 9. The torus, using the parametrization in §1, assuming that the cross section has radius 1.
Transcribed Image Text:8. The part of the sphere x² + y² + z² = 1 inside the upper part of the cone x² + y? = z². 9. The torus, using the parametrization in §1, assuming that the cross section has radius 1.
Compute the following areas. 1. (a) A cone as shown on the following figure. 1 Figure 15 (b) The cone of height h obtained by rotating the line z= 3x around the z- axis.
Transcribed Image Text:Compute the following areas. 1. (a) A cone as shown on the following figure. 1 Figure 15 (b) The cone of height h obtained by rotating the line z= 3x around the z- axis.
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