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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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