SOLUTION: A volume is defined by the function V(h)=h(h-6)(h-12). What is the maximum volume for the domain 0<h<12? Round to the nearest cubic foot
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Question 316180: A volume is defined by the function V(h)=h(h-6)(h-12). What is the maximum volume for the domain 0
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The maximum occurs between and .
You can find the maximum by taking the derivative of the function and finding when it equals zero. The value of the derivative is also the slope of the tangent line to the function.
Use the quadratic formula,
The maximum occurs at .
The minimum occurs at .
The maximum volume is 83 cubic feet.
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