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A body whose temperature is 100° is placed in a medium which is kept at a constant temperature of 20°. In 10 min the temperature of the body falls to 60°. (a) Find the temperature T of the body as a function of the time t. (b) Find the temperature of the body after 40 min. (c) When will the body's temperature be 50°?

A body whose temperature is 100° is placed in a medium which is kept at a constant temperature of 20°. In 10 min the temperature of the body falls to 60°. (a) Find the temperature T of the body as a function of the time t. (b) Find the temperature of the body after 40 min. (c) When will the body's temperature be 50°?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.2: Rates Of Change For Other Functions
Problem 15SBE
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EXERCISE 15C In the problems below, assume that the rate of change of the tempera- ture of a body obeys the law given in (15.3). 1. A body whose temperature is 100° is placed in a medium which is kept at a constant temperature of 20°. In 10 min the temperature of the body falls to 60°. (a) Find the temperature T of the body as a function of the time t. (b) Find the temperature of the body after 40 min. (c) When will the body's temperature be 50°?
Transcribed Image Text:EXERCISE 15C In the problems below, assume that the rate of change of the tempera- ture of a body obeys the law given in (15.3). 1. A body whose temperature is 100° is placed in a medium which is kept at a constant temperature of 20°. In 10 min the temperature of the body falls to 60°. (a) Find the temperature T of the body as a function of the time t. (b) Find the temperature of the body after 40 min. (c) When will the body's temperature be 50°?
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