Find the Slope of the Curve at the Indicated Point $\mathrm { P }$

question 124

Multiple Choice

Find the slope of the curve at the indicated point.
-The power $\mathrm { P }$ (in $\mathrm { W }$ ) generated by a particular windmill is given by $\mathrm { P } = 0.015 \mathrm {~V} ^ { 3 }$ where $\mathrm { V }$ is the velocity of the wind (in mph) . Find the instantaneous rate of change of power with respect to velocity when the velocity is $9.0 \mathrm { mph }$ .

• A) 8.1 W/mph
• B) 3.6 W/mph
• C) 0.4 W/mph
• D) 21.9 W/mph

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Confidence Interval

This statistical metric signifies the estimated range of values within which a population parameter falls, presented with a certain degree of confidence, showing the precision of an estimate.

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Standard Error

A statistical measure that describes the distribution of sampling means around the population mean, indicating the precision of the sample mean estimate.