Explanation Given information: The value V of a lamp in dollars t years after 1975 is given by the function, V ( t ) = 225 ( 1.15 ) t Concept used: Average value of a continued function over the interval [ a , b ] is given by f a v e = 1 b − a ∫ a b f ( t ) d t Value of the integration ∫ a b p t d t is given by [ p a ln p − p b ln p ] . Calculation: Let t = 0 corresponds to the year 1975 . Then, t = 35 corresponds to the year 2010 . Continuation to the above steps, f a v e = 1 35 − 0 ∫ 0 35 225 ( 1

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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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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Chapter 5.6, Problem 10P

To determine

To calculate:

The average value of lamp over the period 1975 to 2010.

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Chapter 5.6, Problem 9P

Chapter 5.6, Problem 11P

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Chapter 5 Solutions

APPLIED CALCULUS (WILEY PLUS)

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