(a) Explanation Given Information: The provided model for Energy use per dollar of GDP is: E ( t ) = 96 e − 0.019 t Where, t represents the number of years past 1980. Formula used: The derivative of an exponential function for any constant a and variable x is given by: d d x ( e ) a x = a e a x Calculation: Consider the provided model, E ( t ) = 96 e − 0.019 t To find the rate of change of Energy use per dollar of GDP, differentiate E ( t ) = 96 e − 0.019 t with respect to t : d d t ( E ( t ) ) = d d t ( 96 e − 0.019 t ) E ′ ( t ) = 96 d d t ( e − 0 (b) To determine To calculate: The values of E ( 50 ) and E ′ ( 50 ) , also interpret them.

WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term

12th Edition

ISBN: 9781337630542

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 11.2, Problem 66E

(a)

To determine

To calculate: A function which models the rate of change of Energy use per dollar of GDP.

(b)

To determine

To calculate: The values of E(50) and E′(50), also interpret them.

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Chapter 11.2, Problem 65E

Chapter 11.3, Problem 1CP

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WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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A function which models the rate of change of Energy use per dollar of GDP.