Problem

Wind power: The power P generated by a certain wind turbine is given by the function P(v)...

Wind power: The power P generated by a certain wind turbine is given by the function P(v) = where P(v) is the power in watts at wind velocity v(in miles per hour). (a) Describe the transformation applied to obtain the graph of P from the graph of y = v3, then sketch the graph of P for v ∈ [0, 254 (scale the axes appropriately). (b) How much power is being generated when the wind is blowing at 15 mph?

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