Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface of part of the cone √x² + y2 that lies between the two planes z = 1 and z = 8 with an upward-pointing unit normal, vector using a line integral. Z= V F = (yz, -xz, z³) (Use symbolic notation and fractions where needed.) curl(F): = flux of curl(F) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface of part of the cone
√x² + y2 that lies between the two planes z = 1 and z = 8 with an upward-pointing unit normal, vector using a line
integral.
F = (yz, -xz, z³)
(Use symbolic notation and fractions where needed.)
curl(F) =
flux of curl(F) = [
Transcribed Image Text:Calculate the curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface of part of the cone √x² + y2 that lies between the two planes z = 1 and z = 8 with an upward-pointing unit normal, vector using a line integral. F = (yz, -xz, z³) (Use symbolic notation and fractions where needed.) curl(F) = flux of curl(F) = [
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