31. Heating water. The time t, in minutes, needed to allow a cup of cold water placed in a room to warm to I degrees Celsius is given by 15 t(T) = 50 ln( 10 < T< 25. 25 – T) a) Find t(15) and t'(15), and explain what each num- ber represents. b) What is the water's temperature after 1 hr?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
31. Heating water. The time t, in minutes, needed to allow a
cup of cold water placed in a room to warm to T degrees
Celsius is given by
15
t(T) = 50 In
10 < T < 25.
25 — Т,
|
a) Find t(15) and t'(15), and explain what each num-
ber represents.
b) What is the water's temperature after 1 hr?
Transcribed Image Text:31. Heating water. The time t, in minutes, needed to allow a cup of cold water placed in a room to warm to T degrees Celsius is given by 15 t(T) = 50 In 10 < T < 25. 25 — Т, | a) Find t(15) and t'(15), and explain what each num- ber represents. b) What is the water's temperature after 1 hr?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning