Use Stokes' Theorem to evaluate F. dr. F(x, y, z) = 8(x – y)i+8(y – 2)j+8(z – x)k where C is the circle x² + y² = a² in the xy-plane with a counterclockwise orientation looking down the positive z-axis. NOTE: Enter the exact answer in terms of a. F· dr

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 8CT: Determine whether the statement is true or false. a A right circular cone has exactly two bases. b...
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Use Stokes' Theorem to evaluate
F. dr.
F(x, y, 2) = 8(x – y)i+8(y – 2)j+8(z – x)k
-
where C is the circle x? + y² = a? in the xy-plane with a
counterclockwise orientation looking down the positive z-axis.
NOTE: Enter the exact answer in terms of a.
F. dr
Transcribed Image Text:Use Stokes' Theorem to evaluate F. dr. F(x, y, 2) = 8(x – y)i+8(y – 2)j+8(z – x)k - where C is the circle x? + y² = a? in the xy-plane with a counterclockwise orientation looking down the positive z-axis. NOTE: Enter the exact answer in terms of a. F. dr
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