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Use Stokes' Theorem to Evaluate ∫C(3z−2y)dx+(4x−2y)dy+(z+2y)dz\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z

Question 13

Multiple Choice

Use Stokes' Theorem to evaluate ∫C(3z−2y) dx+(4x−2y) dy+(z+2y) dz\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z where C is the circle x=3cos⁡t,y=3sin⁡t,z=2,0≤t≤2πx = 3 \cos t , y = 3 \sin t , z = 2,0 \leq t \leq 2 \pi .


A) 27π27 \pi

B) 99π99 \pi
C) 18π18 \pi
D) 54π54 \pi
E) −27π- 27 \pi
F) −99π- 99 \pi

G) −18π- 18 \pi

H) −54π- 54 \pi

Correct Answer:

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