Use Stokes' Theorem to Evaluate $\int _ { C } ( 3 z - 2 y ) d x + ( 4 x - 2 y ) d y + ( z + 2 y ) d z$

Multiple Choice

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

A) $27 \pi$

B) $99 \pi$
C) $18 \pi$
D) $54 \pi$
E) $- 27 \pi$
F) $- 99 \pi$

G) $- 18 \pi$

H) $- 54 \pi$