Explanation Given information: The below figure shows the rate, f ( x ) , in thousands of algae per hour, at which a population of algae is growing, where x is in hours. Calculation: Consider the graph below. To estimate the average value of the function between x = − 1 to x = 3. The average value of f for − 1 ≤ x ≤ 3 . 1 b − a ∫ a b f ( x ) d x = 1 3 + 1 ∫ − 1 3 f ( x ) d x = 1 4 ∫ − 1 3 f ( x ) d x = 1 4 [ ∫ − 1 To determine (b) To estimate: The average value of the function between x = − 3 to x = 3 .

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 5.6, Problem 18P

To determine

(a)

To calculate:

The average value of the function between x=−1 to x=3.

To determine

(b)

To estimate:

The average value of the function between x=−3 to x=3.

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Chapter 5.6, Problem 17P

Chapter 5.6, Problem 19P

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APPLIED CALCULUS (WILEY PLUS)

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