Solve the Problem $C ( t )$ , in Milligrams After $t$

question 65

Multiple Choice

Solve the problem.
-A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration, $C ( t )$ , in milligrams after $t$ hours is modeled by $C ( t ) = \frac { 6 t } { 3 t ^ { 2 } + 2 }$ . Estimate the drug's concentration after 4 hours. (Round to the nearest hundredth.)

• A) \(0.48 \mathrm { mg }\)
• B) \(1.71 \mathrm { mg }\)
• C) \(0.35 \mathrm { mg }\)
• D) \(1.58 \mathrm { mg }\)

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Definitions:

Parasympathetic Nervous System

A branch of the autonomic nervous system responsible for conserving energy and slowing down the body's response after stress.

Sympathetic Nervous System

A branch of the autonomic nervous system that activates the body's fight-or-flight response, increasing alertness and energy in response to stress.

Somatic Nervous System

Part of the peripheral nervous system associated with the voluntary control of body movements via skeletal muscles.

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, which extends from the brainstem down the back, and transmits neural signals between the brain and the body.