The temperature C of a fresh cup of coffee t minutes after it is poured is given by C = 125e-0.03 +74 degrees Fahrenheit. Tipyahin Shutterstock.com (a) Make a graph of C versus t. 200 180 160 140 120 C₁ 100 60 20 20 40 60 80 100 120 140 160 180 200 220 240 200 180 160 140 120 100 80 C 60 40 20 20 40 60 80 100 120 140 160 180 200 220 240
The temperature C of a fresh cup of coffee t minutes after it is poured is given by C = 125e-0.03 +74 degrees Fahrenheit. Tipyahin Shutterstock.com (a) Make a graph of C versus t. 200 180 160 140 120 C₁ 100 60 20 20 40 60 80 100 120 140 160 180 200 220 240 200 180 160 140 120 100 80 C 60 40 20 20 40 60 80 100 120 140 160 180 200 220 240
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The temperature C of a fresh cup of coffee t minutes after it is poured is given by
C = 125e-0.03t+ 74 degrees Fahrenheit.
(a) Make a graph of C versus t.
O
200
180
160
140
120
C100
80
ou
60
40
20
0
200
180
160
140
120
100
20
80
60
40
20
(b) The coffee
16.59
0
20 40 60 80 100 120 140 160 180 200 220 240
t
20 40 60 80 100 120 140 160 180 200 220 240
t
O
200
180-
160
140
120
Ⓒ100
80
60
40
20
200
180
160-
140
120
Ⓒ100
80
60
40
20
20 40 60 80 100 120 140 160 180 200 220 240
t
0 20 40 60 80 100 120 140 160 180 200 220 240
t
cool enough to drink when its temperature is 150 degrees. When will the coffee be cool enough to drink? (Round your answer to two decimal places.)
✔min
(c) What is the temperature of the coffee in the pot? (Note: We are assuming that the coffee pot is being kept hot and is the same temperature as the cup of coffee when it was poured. Round your answer to the nearest degree.)
X °F
200
(d) What is the temperature in the room where you are drinking the coffee? (Hint: If the coffee is left to cool a long time, it will reach room temperature. Round your answer to the nearest degree.)
X °F
80
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