The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of w water temperature T. S (mg/L) 20 16 12 8 4 0 8 16 24 32 40 T (°C) 0 (a) What is the meaning of the derivative S'(7)? What are its units? S'(T) is the rate at which temperature changes with respect to time. The units are °C/s. 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 the oxygen solubility. The units are °C/(mg/L). OS'(T) is the current level of oxygen solubility for a given temperature. The units are mg/L. OS'(T) is the rate at which oxygen solubility changes with respect to the time. The units are (mg/L)/s. (b) Estimate the value of S'(32) and interpret it. (Round your answer to three decimal places.) S(32)

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The quantity of oxygen that can dissolve in water depends on the temperature of the water. (So thermal pollution influences the oxygen content of w
water temperature T.
S (mg/L)
20
16
12
8
4
0
8
16 24
32
40
T (°C)
0
(a) What is the meaning of the derivative S'(7)? What are its units?
S'(T) is the rate at which temperature changes with respect to time. The units are °C/s.
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 the oxygen solubility. The units are °C/(mg/L).
OS'(T) is the current level of oxygen solubility for a given temperature. The units are mg/L.
OS'(T) is the rate at which oxygen solubility changes with respect to the time. The units are (mg/L)/s.
(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 w water temperature T. S (mg/L) 20 16 12 8 4 0 8 16 24 32 40 T (°C) 0 (a) What is the meaning of the derivative S'(7)? What are its units? S'(T) is the rate at which temperature changes with respect to time. The units are °C/s. 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 the oxygen solubility. The units are °C/(mg/L). OS'(T) is the current level of oxygen solubility for a given temperature. The units are mg/L. OS'(T) is the rate at which oxygen solubility changes with respect to the time. The units are (mg/L)/s. (b) Estimate the value of S'(32) and interpret it. (Round your answer to three decimal places.) S(32)
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