$\text { The vertical cross section of an irrigation canal is modeled by } f ( x ) = \frac { 5 x ^ { 2 } } { \left( x ^ { 2 } + 4 \right) } \text {, }$

question 62

Multiple Choice

$\text { The vertical cross section of an irrigation canal is modeled by } f ( x ) = \frac { 5 x ^ { 2 } } { \left( x ^ { 2 } + 4 \right) } \text {, }$ where $x$ is measured in feet and $x = 0$ corresponds to the center of the canal. Use the integration capabilities of a graphing utility to approximate the fluid force against a vertical gate used to stop the flow of water if the water is 3 feet deep. Round your answer to three decimal places.

• A) \(307.133 \mathrm { lb }\)
• B) \(546.265 \mathrm { lb }\)
• C) \(356.133 \mathrm { lb }\)
• D) \(707.133 \mathrm { lb }\)
• E) \(1,036.133 \mathrm { lb }\)

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