Asked by Anonymous

The power, in amps, transmitted by a belt drive from a motor is given by the function P(v)= 100v - 3/16 v^3 .

For what value of v is the power at a maximum value?

Thanks in advance!
Answered by MathMate
At the maximum, P'(v) equals to zero.
P'(v) = 100-(3/16)(2v²) = 0.
Solve for v.
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