Answered: Find the surface integral to evaluate…

Find the surface integral to evaluate the flux of the vector field F=, where S is the surface of the cylinder x2+y2=1, between the planes z=-1 and z=2, oriented outward.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

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Question

Find the surface integral to evaluate the flux of the vector field F=<y,x,x+z>, where S is the surface of the cylinder x²+y²=1, between the planes z=-1 and z=2, oriented outward.

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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