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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 32E

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Question

Let f(x, y) = 6x cos (y). Find the conservative vector field F, which is the gradient of f.
(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and
fractions where needed.)
F =
(6 cos (y),-6 sin (y))
Incorrect
Evaluate the line integral of F over the upper half of the unit circle centered at the origin, oriented counterclockwise.
(Give an exact answer. Use symbolic notation and fractions where needed.)
[F.
F. dr = 0
Incorrect

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