2. The vector function Ř(u, v) = (sin u cos v, sin u sin v, cos u), (u, v) E [0, 7] × [0, 2m] gives a unit sphere. Use double integrals and the above parametrization to find surface area of a unit sphere.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 11ECP
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2. The vector function
R(u, v) = (sin u cos v, sin u sin v, cos u), (u, v) E [0, 1] × [0, 27]
gives a unit sphere. Use double integrals and the above parametrization to find
surface area of a unit sphere.
Transcribed Image Text:2. The vector function R(u, v) = (sin u cos v, sin u sin v, cos u), (u, v) E [0, 1] × [0, 27] gives a unit sphere. Use double integrals and the above parametrization to find surface area of a unit sphere.
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