Use Green's Theorem to Calculate the Work Done by the Force

Multiple Choice

Use Green's Theorem to calculate the work done by the force $\overrightarrow { \mathbf { F } } ( x , y ) = \left( 18 x ^ { 2 } + y \right) \mathbf { i } + 19 x y ^ { 2 } \mathbf { j }$ on a particle that is moving counterclockwise around the closed path $C$ where $C$ is the boundary of the region lying between the graphs of $y = \sqrt { x } , y = 0$ , and $x = 9$ . Round your answer to two decimal places.

A) $663.60$
B) $597.60$
C) $618.60$
D) $657.60$
E) $791.60$