The concentration of a medication in the plasma changes at a rate of h(t) mg/ml per hour, t hours after the delivery of (a) Explain the meaning of the statement h(1) = 43. i rate of i hour after the drug is administered the concentration of the medicine in the plasma is mg/ml per hour. T (b) There is 190 mg/ml of the medication present at time t = 0 and medication present three hours after the drug is administered? mg/ml i h (t) dt = 480. What is the plasma concentrat
The concentration of a medication in the plasma changes at a rate of h(t) mg/ml per hour, t hours after the delivery of (a) Explain the meaning of the statement h(1) = 43. i rate of i hour after the drug is administered the concentration of the medicine in the plasma is mg/ml per hour. T (b) There is 190 mg/ml of the medication present at time t = 0 and medication present three hours after the drug is administered? mg/ml i h (t) dt = 480. What is the plasma concentrat
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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![The concentration of a medication in the plasma changes at a rate of \( h(t) \) mg/ml per hour, \( t \) hours after the delivery of the drug.
(a) Explain the meaning of the statement \( h(1) = 43 \).
\[ \boxed{\text{1}} \] hour after the drug is administered the concentration of the medicine in the plasma is increasing at a rate of \[ \boxed{\text{43}} \] mg/ml per hour.
(b) There is 190 mg/ml of the medication present at time \( t = 0 \) and
\[
\int_0^3 h(t) \, dt = 480.
\]
What is the plasma concentration of the medication present three hours after the drug is administered?
\[ \boxed{\text{670}} \] mg/ml.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1ac4a5c-5c91-4743-9545-fc03c7695e62%2F1de008c1-19a2-4205-8024-b6a2fda5eb44%2Firwtr4b_processed.png&w=3840&q=75)
Transcribed Image Text:The concentration of a medication in the plasma changes at a rate of \( h(t) \) mg/ml per hour, \( t \) hours after the delivery of the drug.
(a) Explain the meaning of the statement \( h(1) = 43 \).
\[ \boxed{\text{1}} \] hour after the drug is administered the concentration of the medicine in the plasma is increasing at a rate of \[ \boxed{\text{43}} \] mg/ml per hour.
(b) There is 190 mg/ml of the medication present at time \( t = 0 \) and
\[
\int_0^3 h(t) \, dt = 480.
\]
What is the plasma concentration of the medication present three hours after the drug is administered?
\[ \boxed{\text{670}} \] mg/ml.
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