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Find the Work Done by F Over the Curve in the Direction

Question 77

Multiple Choice

Find the work done by F over the curve in the direction of increasing t.
- F=xyi+3j+8xk;C:r(t) =cos7ti+sin7tj+tk,0tπ14\mathbf { F } = x y \mathbf { i } + 3 \mathbf { j } + 8 x \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \cos 7 \mathrm { ti } + \sin 7 \mathrm { tj } + \mathrm { t } \mathbf { k } , 0 \leq \mathrm { t } \leq \frac { \pi } { 14 }


A) W=8621W = \frac { 86 } { 21 }
B) W=9421W = \frac { 94 } { 21 }
C) W=0W = 0
D) W=8021W = \frac { 80 } { 21 }

Correct Answer:

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