The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of water.) The graph shows how oxygen solubility varies as a function of the water temperature T. s (mg/L) 20 16 12 8 4 0 8 16 24 32 40 T (°C) (a) What is the meaning of the derivative S'(T)? What are its units? O S'(T) is the rate at which temperature changes with respect to the oxygen solubility. The units are °C/(mg/L). O S'(T) is the rate at which oxygen solubility changes with respect to the water temperature. The units are (mg/L)/°C. O S'(T) is the rate at which temperature changes with respect to time. The units are °C/s. O S'(T) is the rate at which oxygen solubility changes with respect to the time. The units are (mg/L)/s. O S'(T) is the current level of oxygen solubility for a given temperature. The units are mg/L. (b) Estimate the value of S'(32) and interpret it. (Round your answer to three decimal places.) S'(32)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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Q19. Please answer all the parts to this question 

The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of water.) The graph shows how oxygen solubility S varies as a function of the water temperature T.
s (mg/L)
16
12
L
8
4
20
0
8
16 24
32 40
T (°C)
(a) What is the meaning of the derivative S'(T)? What are its units?
O S'(T) is the rate at which temperature changes with respect to the oxygen solubility. The units are °C/(mg/L).
O S'(T) is the rate at which oxygen solubility changes with respect to the water temperature. The units are (mg/L)/°C.
O S'(T) is the rate at which temperature changes with respect to time. The units are °C/s.
O S'(T) is the rate at which oxygen solubility changes with respect to the time. The units are (mg/L)/s.
O S'(T) is the current level of oxygen solubility for a given temperature. The units are mg/L.
(b) Estimate the value of S'(32) and interpret it. (Round your answer to three decimal places.)
S'(32) =
Transcribed Image Text:The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of water.) The graph shows how oxygen solubility S varies as a function of the water temperature T. s (mg/L) 16 12 L 8 4 20 0 8 16 24 32 40 T (°C) (a) What is the meaning of the derivative S'(T)? What are its units? O S'(T) is the rate at which temperature changes with respect to the oxygen solubility. The units are °C/(mg/L). O S'(T) is the rate at which oxygen solubility changes with respect to the water temperature. The units are (mg/L)/°C. O S'(T) is the rate at which temperature changes with respect to time. The units are °C/s. O S'(T) is the rate at which oxygen solubility changes with respect to the time. The units are (mg/L)/s. O S'(T) is the current level of oxygen solubility for a given temperature. The units are mg/L. (b) Estimate the value of S'(32) and interpret it. (Round your answer to three decimal places.) S'(32) =
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