Answered: I.) F = (y sin z)i + (x sin z)j + (xy…

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I.) F = (y sin z)i + (x sin z)j + (xy cos z)k II.) F = e³+²z(i + xj + 2xk)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.4: Multiple-angle Formulas

Problem 54E

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Question

Determine whether each of the following vector fields F is path independent (conservative) or not. If it is path independent, enter a potential function for it. If it is path dependent, enter NONE

I.) F = (y sin z)i + (x sin z)j + (xy cos z)k
II.) F = e³+²z(i + xj + 2xk)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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