Answered: (28 points) Define T: [0,1] × [−,0] →… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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Question

(28 points) Define T: [0,1] × [−,0] → R3 by
T(y, 0) = (cos 0, y, sin 0).
Let S be the half-cylinder surface traced out by T.
(a) (4 points) Calculate the normal field for S determined by T.

(8 points) Calculate the flux
use Stokes Theorem!
(VxF) dS using the parametrization T. Do not
× F). ds
(4 points) Using Stokes Theorem, calculate the line integral
your answer.
Jos F
F ds. Explain
as

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