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)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
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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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