The temperature, in degrees Celsius, of water in a local swimming hole is a differentiable function...

   

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The temperature, in degrees Celsius, of water in a local swimming hole is a differentiable function T of time t. See the table below for the water temperatures recording every 4 days over a 20 day period. t (days) T (t) (degrees Celsius) 0 4 8 12 16 20 19 30 27 23 21 20 (a) Use the data in the table to estimate 7 (14). Show the computations that lead to your answer. Using correct units, interpret the meaning of your answer in the context of the problem. (b) Use the data in the table to approximate the average temperature of the water in the swimming hole over the time interval 020 using a left hand Riemann Sum with subintervals of length 4 days. (c) A swimmer believes that the water temperature as a function of days can be approximated by the function S() = 19 + 10te. Find S(12) and explain the meaning of your answer with respect to the temperature of the water in the swimming hole. Use correct units. (d) Use the function S(r) defined in part (c) to find the average value, in degrees Celsius. of S(r) over the time interval 0t20. The temperature, in degrees Celsius, of water in a local swimming hole is a differentiable function T of time t. See the table below for the water temperatures recording every 4 days over a 20 day period. t (days) T (t) (degrees Celsius) 0 4 8 12 16 20 19 30 27 23 21 20 (a) Use the data in the table to estimate 7 (14). Show the computations that lead to your answer. Using correct units, interpret the meaning of your answer in the context of the problem. (b) Use the data in the table to approximate the average temperature of the water in the swimming hole over the time interval 020 using a left hand Riemann Sum with subintervals of length 4 days. (c) A swimmer believes that the water temperature as a function of days can be approximated by the function S() = 19 + 10te. Find S(12) and explain the meaning of your answer with respect to the temperature of the water in the swimming hole. Use correct units. (d) Use the function S(r) defined in part (c) to find the average value, in degrees Celsius. of S(r) over the time interval 0t20.