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Solve the Problem D(h)=4e0.35 h\mathrm { D } ( \mathrm { h } ) = 4 \mathrm { e } ^ { - 0.35 \mathrm {~h} }

question 28

Short Answer

Solve the problem.
-A cancer patient undergoing chemotherapy is injected with a particular drug. The function D(h)=4e0.35 h\mathrm { D } ( \mathrm { h } ) = 4 \mathrm { e } ^ { - 0.35 \mathrm {~h} } gives the number of milligrams D of this drug that is in the patient's bloodstream h hours after the drug has
been administered. How many milligrams of the drug were injected? To the nearest milligram, how much of the
drug will be present after 2 hours?

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Definitions:

Autonomic Nervous System

A part of the peripheral nervous system that controls involuntary body functions, including heart rate, digestion, and respiratory rate.

Somatic

Relating to or affecting the body, especially as distinct from the mind or psyche.

Sympathetic

Pertaining to the sympathetic nervous system, which activates the body’s fight or flight response under stress.

Parasympathetic

A division of the autonomic nervous system responsible for conserving energy and bringing the body to a state of rest.

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