3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at that time is 21°C and the temperature outside is -6°C. Two hours later, the temperature in your house has fallen to 10 °C. Assume that the outside temperature remains constant at -6 C. At what time will the inside temperature of your house reach 4°C? You may assume the house cools according to Newton's Law of cooling: --k(T - To) dt

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...
icon
Related questions
Question
100%
Please answer the question in 20 mints plzzzzz and gets thumbup plzzzzzzz it's very urgent plzzzzz
3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at
that time is 21°C and the temperature outside is -6°C.
Two hours later, the temperature in your house has fallen to 10 °C. Assume that the outside
temperature remains constant at -6 °C. At what time will the inside temperature of your house
reach 4°C? You may assume the house cools according to Newton's Law of cooling:
-k(T – To)
dt
Transcribed Image Text:3. At midnight, the heater inside your house breaks down. The temperature (T) inside your house at that time is 21°C and the temperature outside is -6°C. Two hours later, the temperature in your house has fallen to 10 °C. Assume that the outside temperature remains constant at -6 °C. At what time will the inside temperature of your house reach 4°C? You may assume the house cools according to Newton's Law of cooling: -k(T – To) dt
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning