a. Explanation Given: The temperature of the body at time t is according to relation B ( t ) = 20 + 17 e − t , ( tis measured in hours) and the temperature of the room is 20 C 0 . A $10 thermocouple (an instrument to measure small temperature difference) can detect a temperature difference of 0 .1 C 0 , and a $100 thermocouple the difference of 0 .01 C 0 , $1000 thermocouple can detect a temperature difference 0 .0001 C 0 and so forth. Formula used: The cost of detection of temptation difference △ θ C 0 is C = △ θ× cost of required thermo couple. Calculation: The temperature of the body at time t is according to relation B ( t ) = 20 + 17 e − t , ( t is measured in hours), and the room temperature is constant 20 C 0 b. To determine To find: The cost of detection of temperature difference of a hot body and the room the body after 5 hours. c. To determine To find: The cost of detection of temperature difference of a hot body and the room the body after 10 hours.

Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

3rd Edition

ISBN: 9780840064189

Author: Frederick R. Adler

Publisher: Cengage Learning

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Chapter 2.2, Problem 39E

To determine

To find:The cost of detection of temperature difference of a hot body and the room the body after 1hour.

To determine

To find:The cost of detection of temperature difference of a hot body and the room the body after 5 hours.

To determine

To find:The cost of detection of temperature difference of a hot body and the room the body after 10 hours.

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Chapter 2.2, Problem 38E

Chapter 2.2, Problem 40E

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Modeling the Dynamics of Life: Calculus and Probability for Life Scientists

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The cost of detection of temperature difference of a hot body and the room the body after 1hour.

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To find:The cost of detection of temperature difference of a hot body and the room the body after 1hour.

To find:The cost of detection of temperature difference of a hot body and the room the body after 5 hours.

To find:The cost of detection of temperature difference of a hot body and the room the body after 10 hours.

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Chapter 2 Solutions