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

question 106

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) \(- 99 \pi\)

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