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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

A rechargeable battery is plugged into a charger. The graph shows C(t), the percentage of full capacity that the battery reaches as a function of time t elapsed (in hours).

(a) What is the meaning of the derivative C'(t)?

(b) Sketch the graph of C'(t). What does the graph tell you?

images

(a)

To determine

To explain: The meaning of the derivative C(t).

Explanation

The meaning of derivative of C(t) is as follows:

This means that the ratio of change of percentage of full capacity in a very infinitesimal change of time

(b)

To determine

To sketch: The graph of C(t) and illustrate the graph.

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