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

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) $\mathrm { W } = \frac { 45 } { 2 }$