Explanation Given: The amount of medication in blood after n th dose is given by A n = m + m f + ⋯ + m f n − 1 . The value of f = 0.4 , m = 150 mg . Calculation: Evaluate the value of A 5 as follows. Substitute f = 0.4 , m = 150 mg and n = 5 in A n = m + m f + ⋯ + m f n − 1 as follows, A 5 = 150 + ( 150 ) ( 0.4 ) + ⋯ + ( 150 ) ( 0.4 ) 5 − 1 = 150 ( 1 + 0.4 + ⋯ + 0.4 4 ) = 150 ( 1 − 0.4 5 1 − 0.4 ) [ ∵ S n = a ( 1 − r n 1 − r ) where n = 5 and r = 0.4 ] = 150 ( 0.98976 0.6 ) = 247.44 Thus, the value of A 5 is 247.44. Evaluate the value of A 10 as follows. Substitute f = 0.4 , m = 150 mg and n = 10 in A n = m + m f + ⋯ + m f n − 1 as follows, A 10 = 150 + ( 150 ) ( 0.4 ) + ⋯ + ( 150 ) ( 0.4 ) 10 − 1 = 150 ( 1 + 0.4 + ⋯ + 0.4 9 ) = 150 ( 1 − 0.4 10 1 − 0.4 ) = 150 ( 0.99989 0.6 ) = 249.973 Thus, the value of A 10 is 249.973. Evaluate the value of A 30 as follows. Substitute f = 0.4 , m = 150 mg and n = 30 in A n = m + m f + ⋯ + m f n − 1 as follows, A 30 = 150 + ( 150 ) ( 0

Calculus, Single Variable: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134766850

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Chapter 10.3, Problem 44E

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To find: The values of A5,A10,A30 and limn→∞An and also to interpret the meaning of the limit limn→∞An.

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Chapter 10.3, Problem 43E

Chapter 10.3, Problem 46E

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Chapter 10 Solutions

Calculus, Single Variable: Early Transcendentals (3rd Edition)

Ch. 10.1 - Find a10 for the sequence {1, 4, 7, 10, ...} using...Ch. 10.1 - Prob. 2QC Ch. 10.1 - Prob. 3QC Ch. 10.1 - Do the series k=11 and k=1k converge or diverge?Ch. 10.1 - Prob. 5QC Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Find two different explicit formulas for the...Ch. 10.1 - Find two different explicit formulas for the...

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The values of A 5 , A 10 , A 30 and lim n → ∞ A n and also to interpret the meaning of the limit lim n → ∞ A n .

Solution Summary: The author analyzes the value of A_5, '',''10&';; and the meaning of the limit.

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To find: The values of A5,A10,A30 and limn→∞An and also to interpret the meaning of the limit limn→∞An.

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Chapter 10 Solutions