Calculate the Flow in the Field F Along the Path

Multiple Choice

Calculate the flow in the field F along the path C.
- $$\mathbf { F } = \mathrm { y } ^ { 2 } \mathbf { i } + \mathrm { zj } + \mathrm { xk } ; C \text { is the curve } \mathbf { r } ( \mathrm { t } ) = ( 3 + 3 \mathrm { t } ) \mathbf { i } + 2 \mathrm { tj } - 2 \mathrm { tk } , 0 \leq \mathrm { t } \leq 1$$

A) 5
B) -4
C) - 7
D) 28