1. The reaction R to an injection of a drug is related to the dosage x (in...

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1. The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to
R(x) = x2 (500 - x/3)
where 1000 mg is the maximum dosage. If the rate of reaction with respect to the dosage defines the sensitivity to the drug, find the sensitivity.
2. Nerve response The number of action potentials produced by a nerve, t seconds after a stimulus, is given by
- 2 N(t) = 25t +- t? + 2

Find the rate at which the action potentials are produced by the nerve.

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