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Evaluate the surface integral [/ where F(x, y, z)= xi + yj + z²k and S is the surface parameterized by Φ (u, v) = (2 sin u, 3 cos u, v) with 0 ≤ u ≤ 2л and 0 ≤ v ≤ 1. F.dS,

Evaluate the surface integral [/ where F(x, y, z)= xi + yj + z²k and S is the surface parameterized by Φ (u, v) = (2 sin u, 3 cos u, v) with 0 ≤ u ≤ 2л and 0 ≤ v ≤ 1. F.dS,

Elementary Geometry For College Students, 7e
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 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Evaluate the surface integral // S where F(x, y, z) = xi + yj + z²k and S is the surface parameterized by F.dS, Þ(u, v) = (2 sin u, 3 cos u, v) with 0 ≤ u ≤ 2π and 0 ≤ v ≤ 1. ||$ F.dS= =
Transcribed Image Text:Evaluate the surface integral // S where F(x, y, z) = xi + yj + z²k and S is the surface parameterized by F.dS, Þ(u, v) = (2 sin u, 3 cos u, v) with 0 ≤ u ≤ 2π and 0 ≤ v ≤ 1. ||$ F.dS= =
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