The temperature of water in the Solar steam power system for time 0 equal to or less than t equal to or less than 10, is modeled by the differentiable function S, where t is measured in hours. Selected values of S(t) are given in the table above and represent the temperature in degrees celsius of the water in the solar steam power system. (a) use the data in the table to evaluate the definitive integral of S'(t)dt where a=10 and b=0. using correct units interpret the meaning of the definitive integral in the context of this problem.
(b) For 0 less than or equal to t less than or equal to 6, approximate the average temperature of the water in the system using a right Riemann approximation. determine if the approximation is an overestimate or an underestimate. justify your answer.
(c) For 10 less than or equal to t less than or equal to 20 the change in temperature of the water in the system can be modeled by the equation S'(t)=-
using this model determine the total change in the temperature of the system for the given interval. interpret your answer in the context of this problem​