Answered: Let S be the cylinder x2 + y2 = a2,…

Let S be the cylinder x2 + y2 = a2, 0<=z <=h, together with its top, x2 + y2 <=a2, z = h. Let F =-yi + xj + x2k. Use Stokes’ Theorem to find the flux of ∇ * F outward through S.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

Let S be the cylinder x2 + y2 = a2, 0<=z <=h, together with its top, x2 + y2 <=a2, z = h.

Let F =-yi + xj + x2k. Use Stokes’ Theorem to find the flux of ∇ * F outward through S.

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