Evaluate the surface integral ff 3y2 d.S, where S is part of the surface of a paraboloid with parameterization S ㅠ r(u, v) = (v cos (u), v sin (u), v²) where 0 ≤ u < and 0 ≤ v ≤ 1. 4 Round your answer to two decimal places if necessary. Sorry, that's incorrect. Try again? 3y² ds 0.14 units²

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Evaluate the surface integral ff 3y2 d.S, where S is part of the surface of a paraboloid with parameterization
r(u, v) = (v cos (u), v sin (u), v²) where 0 ≤ u ≤
4
Round your answer to two decimal places if necessary.
Sorry, that's incorrect. Try again?
3y² ds≈ 0.14 units²
and 0 ≤ v ≤ 1.
Transcribed Image Text:Evaluate the surface integral ff 3y2 d.S, where S is part of the surface of a paraboloid with parameterization r(u, v) = (v cos (u), v sin (u), v²) where 0 ≤ u ≤ 4 Round your answer to two decimal places if necessary. Sorry, that's incorrect. Try again? 3y² ds≈ 0.14 units² and 0 ≤ v ≤ 1.
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