   Chapter 8.2, Problem 81E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Medicine The temperature T (in degrees Fahrenheit) of a patient t hours after arriving at the emergency room of a hospital at 10:00 p.m. is given by T ( t ) = 98.6 + 4 cos π t 36 ,  0 ≤ t ≤ 18 .Find the patient’s temperature at (a) 10:00 p.m., (b) 4:00 a.m., and (c) 10:00 a.m. (d) At what time do you expect the patient’s temperature to return to normal ( 98.6 ° ) ? Explain your reasoning.

(a)

To determine

To calculate: The patient’s temperature at 10:00 PM, if the temperature of the patient at 10:00 PM is expressed by the expression shown below:

T(t)=98.6+4cosπt36     0t18

Explanation

Given Information:

The function of the temperature of the patient at 10:00 PM is:

T(t)=98.6+4cosπt36,     0t18

Calculation:

Consider the provided function of the temperature of the patient:

T(t)=98.6+4cosπt36

At 10:00 PM, t=0

(b)

To determine

To calculate: The patient’s temperature at 4:00 AM, if the temperature of the patient at 10:00 PM is expressed by the expression shown below:

T(t)=98.6+4cosπt36     0t18

(c)

To determine

To calculate: The patient’s temperature at 10:00 AM, if the temperature of the patient at 10:00 PM is expressed by the expression shown below:

T(t)=98.6+4cosπt36     0t18

(d)

To determine

To calculate: When will the temperature of the patient be 98.6°F, if the temperature of the patient at 10:00 PM is expressed by the expression shown below:

T(t)=98.6+4cosπt36     0t18

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