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Find the Flux of the Curl of Field F Through θ\theta

Question 173

Multiple Choice

Find the flux of the curl of field F through the shell S.
-F = 5yi + 4xj + cos(z) k ; S: r(r, θ\theta ) = 3 sin  Find the flux of the curl of field F through the shell S. -F = 5yi + 4xj + cos(z) k ; S: r(r, \theta )  = 3 sin   cos  \theta i + 3 sin   sin  \theta j + 3 cos  \theta k, 0  \le   \theta   \le  2  \pi  and 0  \le     \le    A)  -18  \pi  B)  -9 C)  -9  \pi  D)  18  \pi cos θ\theta i + 3 sin 11ee985c_d98c_07fb_a6de_8d8f17a9f06c_TB9662_11 sin θ\theta j + 3 cos θ\theta k, 0 \le θ\theta \le 2 π\pi and 0 \le 11ee985d_0f76_375c_a6de_6187f79fad1a_TB9662_11 \le 11ee9522_34ee_dc82_bdb6_c59ee305f058_TB9662_11


A) -18 π\pi
B) -9
C) -9 π\pi
D) 18 π\pi

Correct Answer:

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