A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through a glass window in the oven door, an observer records that the thermometer reads 110° F after ! minute and 145° F after 1 minute. (a) Construct a mathematical model in the form of a differential equation. (b) How hot is the oven?

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.
Chapter11: Differential Equations
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A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through
a glass window in the oven door, an observer records that the thermometer reads 110° F after
minute and 145° F after 1 minute.
(a) Construct a mathematical model in the form of a differential equation.
(b) How hot is the oven?
Transcribed Image Text:A thermometer reading 60° F is placed in an oven preheated to a constant temperature. Through a glass window in the oven door, an observer records that the thermometer reads 110° F after minute and 145° F after 1 minute. (a) Construct a mathematical model in the form of a differential equation. (b) How hot is the oven?
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