Explanation Given: B = f ( t ) = 1000 e 0.03 t Calculation: Differentiate the given function with respect to t. f ( t ) = d d t ( 1000 e 0.03 t ) We know that d d x ( e a x ) = a ⋅ e a x Here, a = 0 To determine (b) To find: f ( 10 ) and f ' ( 10 ) by the given function B.

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 3.2, Problem 41P

To determine

(a)

To find:

f'(t) by the given function B.

To determine

(b)

To find:

f(10) and f'(10) by the given function B.

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Chapter 3.2, Problem 40P

Chapter 3.2, Problem 42P

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