Explanation Given information: C ( t ) = 120 ( e − 0.2 t − e − b t ) Where, C ( t ) is in mcg/ml. Formula used: Critical value of any function f ( x ) is given by f ′ ( x ) = 0 For maximum value of any function f ( x ) , at x = x 1 , f ″ ( x 1 ) < 0 Calculation: Let, the concentration given by a function, C ( t ) = 120 ( e − 0.2 t − e − b t ) . Differentiating the given function with respect to t, we get C ′ ( t ) = 120 ( − 0.2 e − 0.2 t + b e − b t ) For the critical points, C ′ ( t ) = 0 120 ( − 0

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

4th Edition

ISBN: 9781319312886

Author: Rogawski, Jon, Adams, Colin, FRANZOSA, Robert

Publisher: W. H. Freeman

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Chapter 4.2, Problem 79E

To determine

The value of b numerically for the given function C(t)=120(e−0.2t−e−bt) for which maximum concentration occurs at t = 1 hour.

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Chapter 4.2, Problem 78E

Chapter 4.2, Problem 80E

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Chapter 4 Solutions

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

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The value of b numerically for the given function C ( t ) = 120 ( e − 0.2 t − e − b t ) for which maximum concentration occurs at t = 1 hour.

Solution Summary: The author calculates the value of b numerically for the given function, C(t)=120

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The value of b numerically for the given function C(t)=120(e−0.2t−e−bt) for which maximum concentration occurs at t = 1 hour.

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