Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. 3 2 The lower portion cut from the sphere x² + y² + z² = 36 by the cone z = - √ √x² + y² Let u = 0 and v= and use spherical coordinates to parametrize the surface. Set up the double integral to find the surface area. 00 SS du dv (Type exact answers.)
Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. 3 2 The lower portion cut from the sphere x² + y² + z² = 36 by the cone z = - √ √x² + y² Let u = 0 and v= and use spherical coordinates to parametrize the surface. Set up the double integral to find the surface area. 00 SS du dv (Type exact answers.)
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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16.5 & 16.6 4
Transcribed Image Text:Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral.
3
=√√x² + y²
√√3
2
2
The lower portion cut from the sphere x+y+z=36 by the cone z =
2
Let u = 0 and v= and use spherical coordinates to parametrize the surface. Set up the double integral to find the surface area.
☐☐
SSO du dv
00
(Type exact answers.)
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