Problem #5: A hot drink is taken outside on a cold winter day when the air temperature is -6°C. According to a principle of physics called Newton's Law of Cooling, the temperature T (in degrees Celsius) of the drink t minutes after being taken outside is given by T) = -6+ Aekt, where A and k are constants. (a) Suppose that the temperature of the drink is 88°C when it is taken outside. Find the value of the constant A. (b) In addition, suppose that 20 minutes later the drink is 29°C. Find the value of the constant k. (c) What will the temperature be after 29 minutes?
Problem #5: A hot drink is taken outside on a cold winter day when the air temperature is -6°C. According to a principle of physics called Newton's Law of Cooling, the temperature T (in degrees Celsius) of the drink t minutes after being taken outside is given by T) = -6+ Aekt, where A and k are constants. (a) Suppose that the temperature of the drink is 88°C when it is taken outside. Find the value of the constant A. (b) In addition, suppose that 20 minutes later the drink is 29°C. Find the value of the constant k. (c) What will the temperature be after 29 minutes?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Problem #5: A hot drink is taken outside on a cold winter day when the air temperature is -6°C. According to a principle of
physics called Newton's Law of Cooling, the temperature T (in degrees Celsius) of the drink t minutes after being
taken outside is given by
TO) = -6+ Aekt,
%3D
where A and k are constants,
(a) Suppose that the temperature of the drink is 88°C when it is taken outside. Find the value of the constant A.
(b) In addition, suppose that 20 minutes later the drink is 29°C. Find the value of the constant k.
(c) What will the temperature be after 29 minutes?
(d) When (i.e., after how many minutes) will the temperature reach 0°C?
Problem 5(a): 94
Problem #5(b):
Round your answer to 6 decimals.
Problem #5(c):
Round your answer to 2 decimals.
Problem #5(d):
Round your answer to 2 decimals.
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