Find the Slope of the Curve at the Indicated Point $\mathrm { ft } / \mathrm { s }$

question 183

Multiple Choice

Find the slope of the curve at the indicated point.
-The velocity of water $\mathrm { ft } / \mathrm { s }$ at the point of discharge is given by $\mathrm { v } = 14.33 \sqrt { \mathrm { P } }$ , where $\mathrm { P }$ is the pressure lb/in 2 of the water at the point of discharge. Find the rate of change of the velocity with respect to pressure if the pressure is $30.00 \mathrm { lb } / \mathrm { in } ^ { 2 }$ .

• A) \(0.2388 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)
• B) \(2.62 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)
• C) \(1.3081 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)
• D) \(39.24 \mathrm { ft } / \mathrm { s }\) per \(\mathrm { lb } / \mathrm { in } ^ { 2 }\)

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