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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 68E
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F878d2984-4af1-4e20-92db-99a8fdbac9b6%2F079fcf7d-5e92-46d2-801b-7c26fe44a5db%2F61a4gy_processed.jpeg&w=3840&q=75)
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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