A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the removed from the oven and placed in the refrigerator. The rate of change in temperature is inversely proportional to 33 – I(t), where t is measured in hours. - What is the differential equation to solve for I(t) Do not solve. O dl dt k (33-1) = k (33 - 1) = kt k (33+1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the removed from the oven and placed in
the refrigerator. The rate of change in temperature is inversely proportional to 33 — I(t), where t is measured in hours.
What is the differential equation to solve for I(t)
Do not solve.
dI
dt
=
dI =
dt
dI
dt
k
(33-1)
k (33 - 1)
= kt
=
dI
k
dt (33+1)
Transcribed Image Text:A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the removed from the oven and placed in the refrigerator. The rate of change in temperature is inversely proportional to 33 — I(t), where t is measured in hours. What is the differential equation to solve for I(t) Do not solve. dI dt = dI = dt dI dt k (33-1) k (33 - 1) = kt = dI k dt (33+1)
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