Calculate the Circulation of the Field F Around the Closed $\mathbf { F } = \mathrm { xy } \mathbf { i } + 3 \mathbf { j }$

Multiple Choice

Calculate the circulation of the field F around the closed curve C.
- $\mathbf { F } = \mathrm { xy } \mathbf { i } + 3 \mathbf { j }$ , curve $\mathrm { C }$ is $\mathbf { r } ( \mathrm { t } ) = 4 \cos \mathrm { ti } + 4 \sin \mathrm { tj } , 0 \leq \mathrm { t } \leq 2 \pi$

A) 0
B) $- \frac { 14 } { 3 }$
C) 6
D) $\frac { 50 } { 3 }$