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Chapter 9.8, Problem 43E
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Mathematical Applications for the ...
11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Solutions
Chapter
Section
BuyFindarrow_forward
Mathematical Applications for the ...
11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem
Average annual wage Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. average annual wage, in thousands of dollars, can be modeled by
(a) Use the model to find a function that models the instantaneous rate of change of W.
(b) Find a function that models the rate at which the instantaneous rate from part (a) is changing.
(c) Find and interpret w(50), W'(50), and W"(50).
(a)
To determine
To calculate: The rate of change in the annual wage (in thousands of dollars) when the average annual wage is given by
Explanation
Given information:
The average annual wage is given by
where t is the number of years past 1975.
Formula used:
The power rule for differentiation states that,
The derivative of a constant times a function is
Calculation:
Consider the equation,
(b)
To determine
To calculate: The second derivative of the
(c)
To determine
The values of
Chapter 9 Solutions
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