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.)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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16.5 & 16.6 4

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.)
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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