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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 5.2, Problem 58E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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HOW DO YOU SEE IT? The graph shows the rate of change of the revenue of a company from 2000 through 2015.

Chapter 5.2, Problem 58E, HOW DO YOU SEE IT? The graph shows the rate of change of the revenue of a company from 2000 through

(a) Approximate the rate of change of the revenue in 2004. Explain your reasoning.

(b) Is R(7) − R(6) > 0? Explain your reasoning.

(c) Approximate the years in which the graph of the revenue is concave upward and the years in which it is concave downward. Approximate the years of any points of inflection.

(a)

To determine

To calculate: The approximate rate of change of the revenue in the year 2004 from the provided graph.

Calculus: An Applied Approach (MindTap Course List), Chapter 5.2, Problem 58E , additional homework tip 1

Explanation

Given Information:

The provided graph is,

Calculation:

Consider the provided graph.

In order to find the value of the rate of change of revenue dRdt in the year 2004 that is at t=4,

Locate the point t=4 on the horizontal axis and move

(b)

To determine

Whether the value of R(6)−R(7) is greater than 0 or not from the provided

graph.

Calculus: An Applied Approach (MindTap Course List), Chapter 5.2, Problem 58E , additional homework tip 2

(c)

To determine

To calculate: The years in which the graph of the revenue is concave upward, concave

downward and the years of any point of inflection.

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