A pan of boiling water with a temperature of 212°F is set in a bin of ice with a temperature of 32°F. The pan cools to 65°F in 33 minutes. (a) Find To, D, and a so that T(t) = To + Dat models the data, where t is in hours. (b) Find the temperature of the pan after 15 minutes. (c) How long did it take the pan to reach 35°F? Support your result graphically. (a) To = (Round to the nearest integer as needed.) ∞

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A pan
of boiling water with a temperature of 212°F is set in a bin of ice with a temperature of 32°F. The pan cools to 65°F in 33 minutes.
(a) Find To, D, and a so that T(t) = T₁ + Dat models the data, where t is in hours.
(b) Find the temperature of the pan after 15 minutes.
(c) How long did it take the pan to reach 35°F? Support your result graphically.
(a) To
(Round to the nearest integer as needed.)
=
Transcribed Image Text:A pan of boiling water with a temperature of 212°F is set in a bin of ice with a temperature of 32°F. The pan cools to 65°F in 33 minutes. (a) Find To, D, and a so that T(t) = T₁ + Dat models the data, where t is in hours. (b) Find the temperature of the pan after 15 minutes. (c) How long did it take the pan to reach 35°F? Support your result graphically. (a) To (Round to the nearest integer as needed.) =
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