Tests show that the power P (in hp) of an automobile engine as a function of r (in r min) is given by P 5 0 10 6 r 2 0 050r 45(1500 r 6000 r min) Sketch the graph of P vs r and find the maximum power that is produced

Question: Tests show that the power P (in hp) of an automobile engine as a function of r (in r/min) is given by P = 5.0

Tests show that the power P (in hp) of an automobile engine as a function of r (in r/min) is given by P = −5.0 × 10⁻⁶r² + 0.050r − 45(1500 < r < 6000 r/min). Sketch the graph of P vs. r and find the maximum power that is produced.

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