(a) Explanation Given: A patient takes150 mgof a drug at the same time every day and just before eachtablet is taken 5 % of the drug present in the preceding time step remains in the body. Calculation: The quantity of drug after the first table is 150 mg . After the second tablet this quantity(Q) is 150+5% of first 150 mg tablet. i.e. [ 150 + 150 ( 0.05 ) ] m g After the third tablet this quantity(Q) is [ 150 + 150 ( 0.05 ) + 150 ( 0.05 ) 2 ] = 157.875 m g After n-th tablet this quantity is [ 150 + 150 ( 0.05 ) + 150 ( 0.05 ) 2 + ..... + 150 ( 0.05 ) n − 1 ] This is a geometric series,where a = 150 and r = 0.05 . ∴ Quantity after n-th tablet = a ( 1 − r n ) ( 1 − r ) ( ∵ r < 1 ) (b) To determine To calculate : Quantity of the drug remains in the body in long run.

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Question

Chapter 2.1, Problem 37E

(a)

To determine

To calculate: Quantity of drug after third tablet also aftern-thtablet.

(b)

To determine

To calculate: Quantity of the drug remains in the body in long run.

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Chapter 2 Solutions

BIOCALCULUS:CALCULUS F/LIFE...-W/ACCESS

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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Prob. 9CS

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Quantity of drug after third tablet also aftern-thtablet .

Solution Summary: The author calculates the quantity of drug after third tablet and aftern-thtablet. The patient takes 150 mg of a drug at the same time every day.

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To calculate: Quantity of drug after third tablet also aftern-thtablet.

To calculate: Quantity of the drug remains in the body in long run.

Chapter 2 Solutions