Consider the positively oriented surface S₂ defined by the vector function R(u, v) = (u sin v-3, u cos v+2, ²), where (u, v) = [0, 2] × [0, π]. Let F(x, y, z) = (x, y, 2z). Evaluate JSF • n do. S₂

Consider the positively oriented surface S₂ defined by the vector function R(u, v) = (u sin v-3, u cos v+2, ²), where (u, v) = [0, 2] × [0, π]. Let F(x, y, z) = (x, y, 2z). Evaluate JSF • n do. S₂

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.1: Length And Dot Product In R^n

Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...

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Question

Please include different and complete solutions.

Consider the positively oriented surface S₂ defined by the vector function
R(u, v) = (usin v-3, u cos v+2, ²),
where (u, v) € [0, 2] × [0, π]. Let F(x, y, z) = (x, y, 2z). Evaluate
JfF.
F.ndo.
S₂

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