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2. The quantity of oxygen that can dissolve in water depends on the temperature of the water. The graph, below, shows how oxygen solubility S, in mg/L, varies as a function of the water temperature, T, in °C. Some values of function S(T) are also given in the table. (a) Find the best estimate for the derivative S'(T) for each value of T. Round your answers to 2 decimal places. Show all your work. 0 T 16 40 S'(T) (b) What are the units of S'(16)? Interpret S'(16) in the context of the problem. SA (mg/L) 16 12 8 4 0 8 16 24 32 40 T(°C) T 0 8 16 S(T) 15 12.1 10.5 24 32 40 8.8 7.6 6.5

2. The quantity of oxygen that can dissolve in water depends on the temperature of the water. The graph, below, shows how oxygen solubility S, in mg/L, varies as a function of the water temperature, T, in °C. Some values of function S(T) are also given in the table. (a) Find the best estimate for the derivative S'(T) for each value of T. Round your answers to 2 decimal places. Show all your work. 0 T 16 40 S'(T) (b) What are the units of S'(16)? Interpret S'(16) in the context of the problem. SA (mg/L) 16 12 8 4 0 8 16 24 32 40 T(°C) T 0 8 16 S(T) 15 12.1 10.5 24 32 40 8.8 7.6 6.5

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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2. The quantity of oxygen that can dissolve in water depends on the temperature of the water. The graph, below, shows how oxygen solubility S, in mg/L, varies as a function of the water temperature, T, in °C. Some values of function S(T) are also given in the table. Find the best estimate for the derivative S'(T) for each value of T. Round your answers to 2 decimal places. Show all your work. 0 T 16 40 S' (T) (b) What are the units of S′(16)? Interpret S'(16) in the context of the problem. (mg/L) 16 12 8 4 8 16 24 32 40 T(°C) T S(T) 0 15 8 24 32 40 16 12.1 10.5 8.8 7.6 6.5
Transcribed Image Text:2. The quantity of oxygen that can dissolve in water depends on the temperature of the water. The graph, below, shows how oxygen solubility S, in mg/L, varies as a function of the water temperature, T, in °C. Some values of function S(T) are also given in the table. Find the best estimate for the derivative S'(T) for each value of T. Round your answers to 2 decimal places. Show all your work. 0 T 16 40 S' (T) (b) What are the units of S′(16)? Interpret S'(16) in the context of the problem. (mg/L) 16 12 8 4 8 16 24 32 40 T(°C) T S(T) 0 15 8 24 32 40 16 12.1 10.5 8.8 7.6 6.5
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