We encounter the composition h(T) = L(A(T)) with L and A defined as: A, the amount of ice stored in Arctic Glaciers (in tons) as a function of the average temeprature of the earth's surface T (in degrees Celsius) L, the difference in sea level since 2000 (in meters) as a function of the amount of ice stored in Arctic Glaciers (in tons)   a) What is the sign of A'(T) at our current average temperature, 16.1 degrees Celsius? Explain briefly.   b) What is the sign of L'(A) at our current amount of stored ice? Explain briefly.   c) Write h'(16.1) using the chain rule. WHat is the sign of h'(16.1)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
icon
Related questions
Question

We encounter the composition h(T) = L(A(T)) with L and A defined as:

  • A, the amount of ice stored in Arctic Glaciers (in tons) as a function of the average temeprature of the earth's surface T (in degrees Celsius)
  • L, the difference in sea level since 2000 (in meters) as a function of the amount of ice stored in Arctic Glaciers (in tons)

 

a) What is the sign of A'(T) at our current average temperature, 16.1 degrees Celsius? Explain briefly.

 

b) What is the sign of L'(A) at our current amount of stored ice? Explain briefly.

 

c) Write h'(16.1) using the chain rule. WHat is the sign of h'(16.1)?

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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