The differential equation satisfied f ( t ) , where f ( t ) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k = 0.35 .

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Answer 1

Question

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

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Answer 2

Question

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

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Answer 3

Question

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

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Answer 4

Question

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

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Answer 5

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

Answer 6

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

Answer 7

Chapter 10.4, Problem 25E

(a)

To determine

The differential equation satisfied f(t), where f(t) be the amount of morphine in the body t hours from the beginning of the infusion. The morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

Answer 8

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

Answer 9

(b)

To determine

The amount of morphine in the body during the infusion if at the beginning of the infusion body was morphine free assuming the infusion lasted 8 hours,

where f(t) be the amount of morphine in the body t hours from the beginning of the infusion and morphine was injected continuously at an increasing rate of t milligrams per hour and the body removes the drug at a rate proportional to the amount of drug present in the body with constant of proportionality k=0.35.

Answer 10

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Answer 11

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Answer 12

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Answer 13

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Solution Summary: The body removes morphine at a rate proportional to the amount of drug present in the body with constant of proportionality.

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