6. Newton's law of cooling states that the temperature of an object changes at a rate proportional e difference between the temperature of the object and the temperature of its surroundings. to (a) Multiple Choice: The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of the coffee is 150°F and, one minute later, it is 135°F. The ambient temperature of the room is 70° F. If H(t) represents the temperature of the coffee at time t, and k is a positive constant, the correct differential equation that models this situation is: (Select the correct answer). dH i. =k(T-135) dt dH

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
icon
Related questions
Question
Short Answer, True/False, and Multiple Choice Questions
6.
Newton's law of cooling states that the temperature of an object changes at a rate proportional
to e difference between the temperature of the object and the temperature of its surroundings.
(a) Multiple Choice:
The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of
the coffee is 150°F and, one minute later, it is 135°F. The ambient temperature of the room is
70°F. If H(t) represents the temperature of the coffee at time t, and k is a positive constant, the
correct differential equation that models this situation is: (Select the correct answer).
dH
i.
=k(T-135)
dt
dH
ii. =k(T-150)
dt
dH
iii. =k(T-70)
dt
dH
iv. =kT(T-150)
dt
dH
V. =kT(T-70)
dt
Answer:
(b) Multiple Choice:
In the previous problem, after a long period of time, the temperature of the coffee approaches:
(Select the correct answer and Explain in one sentence.)
i. 120°F
ii. 100°F
iii. 70°F
iv. 65°F
v. 0°F
Answer:
Explanation in One Sentence
Transcribed Image Text:Short Answer, True/False, and Multiple Choice Questions 6. Newton's law of cooling states that the temperature of an object changes at a rate proportional to e difference between the temperature of the object and the temperature of its surroundings. (a) Multiple Choice: The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of the coffee is 150°F and, one minute later, it is 135°F. The ambient temperature of the room is 70°F. If H(t) represents the temperature of the coffee at time t, and k is a positive constant, the correct differential equation that models this situation is: (Select the correct answer). dH i. =k(T-135) dt dH ii. =k(T-150) dt dH iii. =k(T-70) dt dH iv. =kT(T-150) dt dH V. =kT(T-70) dt Answer: (b) Multiple Choice: In the previous problem, after a long period of time, the temperature of the coffee approaches: (Select the correct answer and Explain in one sentence.) i. 120°F ii. 100°F iii. 70°F iv. 65°F v. 0°F Answer: Explanation in One Sentence
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning