All temperatures are in degrees Fahrenheit. A cup of coffee at 173 degrees is poured into a mug and left in a room that stays at 68 degrees. After 2 minutes, the coffee is 132 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) d™ = k(T – 68) - dt What is the temperature of the coffee after 12 minutes? After how many minutes will the coffee be 100 degrees?
All temperatures are in degrees Fahrenheit. A cup of coffee at 173 degrees is poured into a mug and left in a room that stays at 68 degrees. After 2 minutes, the coffee is 132 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) d™ = k(T – 68) - dt What is the temperature of the coffee after 12 minutes? After how many minutes will the coffee be 100 degrees?
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:All temperatures are in degrees Fahrenheit. A cup of coffee
at 173 degrees is poured into a mug and left in a room that
stays at 68 degrees. After 2 minutes, the coffee is 132
degrees. Assume that the differential equation describing
Newton's Law of Cooling is (in this case)
dT = k(T - 68)
dt
What is the temperature of the coffee after 12 minutes?
After how many minutes will the coffee be 100 degrees?
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