Find the flux integral ∫∫scurl(F).dS, where F(x,y,z) = [-y + 2cos(πy)e2x + z2, x2cos(zπ/2) - πsin(πy)e2x, 2xz] and S is the surface parametrized by r(s, t) = [(1 - s1/3)cos(t) - 4s2, (1 - s1/3)sin(t), 5s] with 0 <= t <= 2π, 0 <= s <= 1 oreiented so that the normal vectors point to the outside of the thorn.

Find the flux integral ∫∫scurl(F).dS, where F(x,y,z) = [-y + 2cos(πy)e2x + z2, x2cos(zπ/2) - πsin(πy)e2x, 2xz] and S is the surface parametrized by r(s, t) = [(1 - s1/3)cos(t) - 4s2, (1 - s1/3)sin(t), 5s] with 0 <= t <= 2π, 0 <= s <= 1 oreiented so that the normal vectors point to the outside of the thorn.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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