Calculate the Flow in the Field F Along the Path $\mathbf { F } = 8 \mathbf { i } + 3 \mathbf { j } + 8 \mathbf { k } ; \mathrm { C }$

Multiple Choice

Calculate the flow in the field F along the path C.
- $\mathbf { F } = 8 \mathbf { i } + 3 \mathbf { j } + 8 \mathbf { k } ; \mathrm { C }$ is the curve $\mathbf { r } ( \mathrm { t } ) = 6 \cos 7 \mathrm { ti } + 6 \sin 7 \mathrm { t } \mathbf { j } + 3 \mathrm { tk } , 0 \leq t \leq \frac { 6 } { 7 } \pi$

A) $- 60 + 144 \pi$
B) $\frac { 144 } { 7 } \pi$
C) $96 + 144 \pi$
D) $132 + 144 \pi$