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

question 19

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) \(791.60\)

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