2. Use a parametrization to express the area of the given surface as a double integral and then evaluate the integral: The lower portion of the sphere x2 + y2 + z? = 2 cut by the cone z = x² + y²

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 23E
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2.
Use a parametrization to express the area of the given surface as a double integral and then evaluate the integral:
The lower portion of the sphere x² + y? + z² = 2 cut by the cone z =
x² + y²
Transcribed Image Text:2. Use a parametrization to express the area of the given surface as a double integral and then evaluate the integral: The lower portion of the sphere x² + y? + z² = 2 cut by the cone z = x² + y²
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