The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 73°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. (Let y be the temperature of the cup of coffee in °C and let t be the time in minutes, with t = 0 corresponding to the time when the temperature was 87°C.) dy dt = − 1 50
The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 73°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. (Let y be the temperature of the cup of coffee in °C and let t be the time in minutes, with t = 0 corresponding to the time when the temperature was 87°C.) dy dt = − 1 50
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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The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 73°C. Solve the differential equation to find an expression for the temperature of the coffee at time t. (Let y be the temperature of the cup of coffee in °C and let t be the time in minutes, with
t = 0
corresponding to the time when the temperature was 87°C.)dy |
dt |
1 |
50 |
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