3. It is a cold winter morning when the temperature in your car falls to 10° F. At 8 AM you carelessly leave your trusty TI calculator in your car, not realizing that temperatures below freezing, 32° F, can seriously damage it. Your calculator was initially at a temperature of 49° F. You run back to your car at 9:05 AM to perform an urgent calculation, at which time you estimate the temperature of your calculator to be 40° F. Thinking it is OK, you again leave your calculator in the car. Assuming Newton's Law of Cooling applies, at what time (to the nearest minute) must you get back to rescue your calculator from potential damage? Setup and solve the appropriate DE.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. It is a cold winter morning when the temperature in your car falls to 10° F. At 8 AM you carelessly
leave your trusty TI calculator in your car, not realizing that temperatures below freezing, 32° F, can
seriously damage it. Your calculator was initially at a temperature of 49° F. You run back to your
car at 9:05 AM to perform an urgent calculation, at which time you estimate the temperature of your
calculator to be 40° F. Thinking it is OK, you again leave your calculator in the car. Assuming
Newton's Law of Cooling applies, at what time (to the nearest minute) must you get back to rescue
your calculator from potential damage? Setup and solve the appropriate DE.
Transcribed Image Text:3. It is a cold winter morning when the temperature in your car falls to 10° F. At 8 AM you carelessly leave your trusty TI calculator in your car, not realizing that temperatures below freezing, 32° F, can seriously damage it. Your calculator was initially at a temperature of 49° F. You run back to your car at 9:05 AM to perform an urgent calculation, at which time you estimate the temperature of your calculator to be 40° F. Thinking it is OK, you again leave your calculator in the car. Assuming Newton's Law of Cooling applies, at what time (to the nearest minute) must you get back to rescue your calculator from potential damage? Setup and solve the appropriate DE.
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