   Chapter 10.5, Problem 93E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Early Internet Services On January 1, 1996, America Online was the biggest online service provider, with 4.5 million subscribers, and was adding new subscribers at a rate of 60,000 per week.69 If A ( t ) is the number of America Online subscribers t weeks after January 1, 1996, what do the given data tell you about values of the function A and its derivative? [HINT: See Quick Example 2.]

To determine

The estimate value of the function A and then its derivative where A is the function that represents the total number of American online subscribers after 1 January 1996 (t in weeks). The American online subscribers initially was 4.5 million which was increasing at the rate of 60000 per week.

Explanation

Given Information:

The American online subscribers initially were 4.5 million which was increasing at the rate of 60000 per week. A is the function that represents the total number of American online subscribers after 1 January 1996 (t in weeks).

On 1 January, 1996 the number of subscribers were 4.5 million which means, initially or at t=0 the number of subscribers were 4.5 which is the function of A defined as A(0)=4

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