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

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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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