Explanation Given information : In a healthy person of height x(in,),the average pulse rate in beats per minute is given by P ( x ) = 596 x , 30 ≤ x ≤ 100 . The current level of height is 59 (inches)that changes to 60 inches. Formula used : If y is function of variable x such as y ( x ) = f ( x ) = a x n ± b x m then d y d x = a n x n -1 ± b m x m -1 . Calculations: In a healthy person of height x(in,), the average pulse rate in beats per minute is given by P ( x ) = 596 x , 30 ≤ x ≤ 100 ..........(1) We estimate the change in pulse rate that corresponds to change from 59 in. to 60 in. Differentiation equation with respect to x, we have d P ( x ) d x = 596 x x ( - 1 2 ) Beats / minute ⇒ d P ( x ) = 596 x x ( - 1 2 ) d x But d x = 60 − 59 = 1

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3.8, Problem 32PS

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To find:The change in the pulse rate of a person when there is change in height.

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Chapter 3.8, Problem 31PS

Chapter 3.8, Problem 33PS

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Chapter 3 Solutions

Calculus

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The change in the pulse rate of a person when there is change in height.

Solution Summary: The author calculates the change in pulse rate of a person when height changes from 59 in. to 60 inches.

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Chapter 3 Solutions