·[ [.*· F · d5, where F =< y, −x, 2² > and S is the helicoid with vector equation S r(u, v) =< u cos v, u sin v, v> 0 ≤ u ≤ 4, 0 ≤ v ≤ π with upward orientation. Evaluate

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 29E
Question
S SS
F · dS, where F =< y, −x, z² > and S is the helicoid with vector equation
r(u, v) =< u cos v, u sin v, v> 0 ≤ u ≤ 4, 0 ≤ v ≤ π with upward orientation.
Evaluate
Transcribed Image Text:S SS F · dS, where F =< y, −x, z² > and S is the helicoid with vector equation r(u, v) =< u cos v, u sin v, v> 0 ≤ u ≤ 4, 0 ≤ v ≤ π with upward orientation. Evaluate
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