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Find the Flux of F = Out of (A) \le

Question 10

Multiple Choice

Find the flux of F =  Find the flux of F =   out of (a)  the disk   +    \le   , (b)  an arbitrary plane region not containing the origin in its interior or on its boundary, and (c)  an arbitrary plane region containing the origin in its interior. A)  (a)  0  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  0 B)  (a)  2  \pi   ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  C)  (a)  2  \pi a  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  D)  (a)  0  ~~~~~~~~ (b)  2  \pi   ~~~~~~~~ (c)  0 E)  None of the above out of (a) the disk  Find the flux of F =   out of (a)  the disk   +    \le   , (b)  an arbitrary plane region not containing the origin in its interior or on its boundary, and (c)  an arbitrary plane region containing the origin in its interior. A)  (a)  0  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  0 B)  (a)  2  \pi   ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  C)  (a)  2  \pi a  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  D)  (a)  0  ~~~~~~~~ (b)  2  \pi   ~~~~~~~~ (c)  0 E)  None of the above +  Find the flux of F =   out of (a)  the disk   +    \le   , (b)  an arbitrary plane region not containing the origin in its interior or on its boundary, and (c)  an arbitrary plane region containing the origin in its interior. A)  (a)  0  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  0 B)  (a)  2  \pi   ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  C)  (a)  2  \pi a  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  D)  (a)  0  ~~~~~~~~ (b)  2  \pi   ~~~~~~~~ (c)  0 E)  None of the above \le  Find the flux of F =   out of (a)  the disk   +    \le   , (b)  an arbitrary plane region not containing the origin in its interior or on its boundary, and (c)  an arbitrary plane region containing the origin in its interior. A)  (a)  0  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  0 B)  (a)  2  \pi   ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  C)  (a)  2  \pi a  ~~~~~~~~ (b)  0  ~~~~~~~~ (c)  2  \pi  D)  (a)  0  ~~~~~~~~ (b)  2  \pi   ~~~~~~~~ (c)  0 E)  None of the above , (b) an arbitrary plane region not containing the origin in its interior or on its boundary, and (c) an arbitrary plane region containing the origin in its interior.


A) (a) 0         ~~~~~~~~ (b) 0         ~~~~~~~~ (c) 0
B) (a) 2 π\pi         ~~~~~~~~ (b) 0         ~~~~~~~~ (c) 2 π\pi
C) (a) 2 π\pi a         ~~~~~~~~ (b) 0         ~~~~~~~~ (c) 2 π\pi
D) (a) 0         ~~~~~~~~ (b) 2 π\pi         ~~~~~~~~ (c) 0
E) None of the above

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