Using Green's Theorem, Find the Outward Flux of F Across

Multiple Choice

Using Green's Theorem, find the outward flux of F across the closed curve C.
- $$\mathbf { F } = - \sqrt { \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } } \mathrm { i } + \sqrt { \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } } \mathrm { j } ; \mathrm { C } \text { is the region defined by the polar coordinate inequalities } 1 \leq \mathrm { r } \leq 4 \text { and } 0 \leq \theta \leq \pi$$

A) 0
B) 15
C) 30
D) 17