The concentration of a drug in an organ at any time t (in seconds) is given byC(t)= .3t-18(1-e-t/60 ) 0<t<20          18e-t/60-12e-t-20/60where C(t) is measured in grams per cubic centimeter (g/cm3). a) What is the initial concentration of drug in the organ?(b) What is the concentration of the drug in the organ after 11 sec? (Round your answer to three decimal places.)(c) What is the concentration of the drug in the organ after 32 sec? (Round your answer to three decimal places.)(d) What will be the concentration of the drug in the long run?

Question
Asked Oct 23, 2019

The concentration of a drug in an organ at any time t (in seconds) is given by

C(t)= .3t-18(1-e-t/60 ) 0<t<20
          18e-t/60-12e-t-20/60

where C(t) is measured in grams per cubic centimeter (g/cm3).

 

a) What is the initial concentration of drug in the organ?

(b) What is the concentration of the drug in the organ after 11 sec? (Round your answer to three decimal places.)

(c) What is the concentration of the drug in the organ after 32 sec? (Round your answer to three decimal places.)

(d) What will be the concentration of the drug in the long run? 

check_circleExpert Solution
Step 1

Given:

0.3t-181-e
C()
if0sts20
_(t-20)
|1 8e60 - 12e 60
ift >20
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0.3t-181-e C() if0sts20 _(t-20) |1 8e60 - 12e 60 ift >20

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Step 2

a)

The initial concentration of drug in the organ is,

c(0)- 0.3(0)-181-e
0-18(1-1)
g
0
cm
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c(0)- 0.3(0)-181-e 0-18(1-1) g 0 cm

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Step 3

b)

The concentration of  drug in ...

11
C(11)0.3(11)-181-e
60
3.3-18(1-e0183
g
0.285
cm
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11 C(11)0.3(11)-181-e 60 3.3-18(1-e0183 g 0.285 cm

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