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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

The president announces that the national deficit is increasing, but at a decreasing rate. Interpret this statement in terms of a function and its first and second derivatives.

To determine

To interpret:

The given statement in terms of a function and its first and second derivatives

Explanation

1) Concept:

Using the given statement convert it to first and second derivative.

2) Calculation:

The president announces that the national deficit is increasing, but at a decreasing rate.

Let,

Dt be the function, size of the national deficit with respect to time t

As the national deficit is increasing with respect to time

Means size of national deficit changes D't and is increasing with respect to time t

Therefore,D</

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