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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Definitions:

Fecal Impaction

Accumulation of hardened fecal material in the rectum or sigmoid colon.

Tap Water Enema

A procedure involving the introduction of tap water into the colon through the rectum to stimulate bowel movement and relieve constipation.

Stimuli Responsive

Referring to materials or systems that change their properties or react in response to specific external conditions or stimuli.

Emollient Laxatives

A type of laxative that softens the stool by increasing the amount of water it absorbs, making it easier to pass.