a) Explanation Given: The amount of revenue is given by function f ( x ) = − .1 x 2 + 1.22 x + 3.47 . And x = 0 corresponds to the year 2000 . Year is 2006 . Formula used: The instantaneous rate of change for a function f when x = a is lim h → 0 f ( a + h ) − f ( a ) h provided that this limit exists Calculation: The rate of change of revenue generated by the book store is calculated by; lim h → 0 f ( a + h ) − f ( a ) h At x = 6 gives the instantaneous rate of change of revenue. lim h → 0 f ( 6 + h ) − f ( 6 ) h Calculate the values of f ( 6 + h ) and f ( 6 ) . The value of f ( 6 + h ) is; f ( 6 + h ) = − .1 ( 6 + h ) 2 + 1.22 ( 6 + h ) + 3.47 = − .1 ( 36 + h 2 + 12 h ) + 1.22 h + 7.32 + 3.47 = − b) To determine To calculate: The rate at which revenue changes

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 11.3, Problem 36E

To determine

To calculate: The rate at which revenue changes.

To determine

To calculate: The rate at which revenue changes

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Chapter 11.3, Problem 35E

Chapter 11.3, Problem 37E

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Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 11.1 - Checkpoint 1 Use a calculator to estimate by...Ch. 11.1 - Checkpoint 2 If , find the given...Ch. 11.1 - Prob. 3CP Ch. 11.1 - Checkpoint 4 Find the given limits. (a) (b) Ch. 11.1 - Checkpoint 5 Find Ch. 11.1 - Checkpoint 6 Find the given limits. (a) (b) Ch. 11.1 - Checkpoint 7 Let Find the given...Ch. 11.1 - Use the given graph to determine the value of the...Ch. 11.1 - Use the given graph to determine the value of the...Ch. 11.1 - Use the given graph to determine the value of the...

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