(minutes) g(r) (cubic feet per minute) 2.8 151 20.5 18.3 22.7 1. Grain is being added to a silo. At time0, the silo is empty. The rate at which grain is being added is modeled by the differentiable function g, where g(t) is measured in cubic feet per minute for O sis8 minutes. Selected values of g(t) are given in the table above. (a) Using the data in the table, approximate g'(3). Using correct units, interpret the meaning of g (3) in the context of the problem (b) Write an integral expression that represents the total amount of grain added to the silo from time 0 to time 18. Use a right Riemann sum with the four subintervals indicated by the data in the table to approximate the integral. sin 74 (c) The grain in the silo is spoiling at a rate modeled by w(t)-32sere w(t) is measured in cubic feet per minute for O SS 8 minutes. Using the result from part (b), approximate the amount of unspoiled grain remaining in the silo at time t8. d) Based on the model in part (c).is the amount of unspoiled grain in the silo increasing or decreasing at time 1-6 ? Show the work that leads to your