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For a positive constant A, a dog's mood change, F, due to a dose, R, of a drug is given by F=(A/2 - R/3)R^2. What

For a positive constant A, a dog's mood change, F, due to a dose, R, of a drug is given by

F=(A/2 - R/3)R^2.

What dose maximizes the mood change?

The sensitivity of the dog to the drug is defined as dF/dR. What dosage maximizes sensitivity

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