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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
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 president’s statement in terms of function with first and second derivative.

Explanation

Given:

The president announced that the national deficit is increasing with decreasing rate.

Observation:

The national deficit is represented by a function of t named D(t) .

A function f is increasing when its first order derivative is positive.

As per the president’s statement national deficit is increasing that is, D(t)>0 .

As mentioned above, the statement “national deficit is increasing” is represented by D(t) but the president’s statement is the national deficit is increasing with decreasing rate

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