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

question 17

Multiple Choice

Find the work done by F over the curve in the direction of increasing t.
- $\mathbf { F } = - 5 \mathrm { yi } + 5 \mathrm { x } \mathbf { j } + 6 \mathrm { z } ^ { 7 } \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \cos \mathrm { ti } + \sin \mathrm { tj } , 0 \leq \mathrm { t } \leq 3$

• A) \(W = 30\)
• B) \(W = 15\)
• C) \(W = 0\)
• D) \(\mathrm { W } = \frac { 45 } { 2 }\)

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