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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d097f01-5a83-463d-8f78-82ccf916d119%2F2b04fe0e-8d87-4aae-b187-016de33e1ca0%2F761indl_processed.jpeg&w=3840&q=75)
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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