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.
- $$\mathbf { F } = \mathrm { zi } + 3 \mathrm { x } \mathbf { j } + 6 y \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { ti } + \mathrm { tj } + \mathrm { t } \mathbf { k } , 0 \leq \mathrm { t } \leq 1$$

A) $W = 5$
B) $W = \frac { 15 } { 2 }$
C) $W = 15$
D) $W = 30$