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)?
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)?
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...
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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)?
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