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Menu Value Theorem The population of a culture of cells

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 25RE Chapter 4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 25RE

Menu Value Theorem The population of a culture of cells grows according to the 100t function P(t) = t +1, where t? ? ? 0 is measured in weeks. a.? What is the average rate of change in the population over the interval [0, 8]? b. At what point of the interval [0, 8] is the instantaneous rate of change equal to the average rate of change?

Step-by-Step Solution:

Step-by-step solution Step 1 In this problem, the population of a culture of cells is given as P(t) = t +1, we have to find the average rate of change in the population over the interval [0,8]and we also have to find at what point of interval [0,8] is the instantaneous rate of change equal to the average rate of change. To find the requirement, we will be using the mean value theorem Mean Value Theorem: It states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c such that f(b)f(a) f(c) = ba

Step 2 of 3

Chapter 4, Problem 25RE is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Menu Value Theorem The population of a culture of cells