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Let F(x,y,z)=3yi+3xj+2k\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k }

Question 24

Multiple Choice

Let F(x,y,z) =3yi+3xj+2k\mathbf { F } ( x , y , z ) = - 3 y \mathbf { i } + 3 x \mathbf { j } + 2 \mathbf { k } and C be the boundary of z = 1 inside x2+y2=9x ^ { 2 } + y ^ { 2 } = 9 . Using Stokes' Theorem, CFTds\int _ { C } \mathbf { F } \cdot \mathbf { T } d s is


A) 48?
B) 54?
C) 58?
D) 62?
E) 64?

Correct Answer:

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