14. Calculate the curl of F = (ez² - y, e² + x, cos(xz)) and apply Stokes' theorem to compute the flux of curl(F) through the upper half of the unit sphere with outward pointing normal. 15. Compute the work done by F = Stoke's theorem. (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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can you please do this step by step because I am confused on this problem? 

I only need help with number 14

14. Calculate the curl of F: = (e²² - y, e²³ + x, cos(xz)) and apply Stokes' theorem to compute the flux of curl(F) through
the upper half of the unit sphere with outward pointing normal.
23
15. Compute the work done by F = (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using
Stoke's theorem.
Transcribed Image Text:14. Calculate the curl of F: = (e²² - y, e²³ + x, cos(xz)) and apply Stokes' theorem to compute the flux of curl(F) through the upper half of the unit sphere with outward pointing normal. 23 15. Compute the work done by F = (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using Stoke's theorem.
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