Assume that the rate at which a cup of coffee cools to room temperature is proportional to the difference between its temperature T° C and the ambient room temperature R°C. Acup of coffee is placed in a 20°C room, cools from 100°C to 87° C in 3 minutes. The temperature varies over time t (in minutes) according to T= R+Ae kt:t 20. a) Enter the values of R and A in the box below. R = Number A = Number b) Enter the exact value of k, in Maple syntax, in the box below. k = %3D c) The temperature of the cup of coffee will be 60°C when t = Number Correct your answer to 1 decimal place. d) Enter the limiting value of its temperature in the box below. Number
Assume that the rate at which a cup of coffee cools to room temperature is proportional to the difference between its temperature T° C and the ambient room temperature R°C. Acup of coffee is placed in a 20°C room, cools from 100°C to 87° C in 3 minutes. The temperature varies over time t (in minutes) according to T= R+Ae kt:t 20. a) Enter the values of R and A in the box below. R = Number A = Number b) Enter the exact value of k, in Maple syntax, in the box below. k = %3D c) The temperature of the cup of coffee will be 60°C when t = Number Correct your answer to 1 decimal place. d) Enter the limiting value of its temperature in the box below. Number
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:Assume that the rate at which a cup of coffee cools to room temperature is
proportional to the difference between its temperature T° C and the ambient
room temperature R° C. A cup of coffee is placed in a 20°C room, cools
from 100°C to 87°C in 3 minutes. The temperature varies over time t (in
minutes) according to
T = R+Aekt.t >0.
a) Enter the values of R and A in the box below.
R =
Number
A = Number
b) Enter the exact value of k, in Maple syntax, in the box below.
k
%3D
c) The temperature of the cup of coffee will be 60°C when
t =
Number
Correct your answer to 1 decimal place.
d) Enter the limiting value of its temperature in the box below.
Number
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