A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS 1 5 6 8 (Minutes) 0 G(T) (Cubic Feet Per Minute) || 12.8 Pute || 12.8 15.1 20.5 18.3 22.7 Sut 1. Grain Is Being Added To A Silo. At Time = 0, 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 0 St 8

. (a) Using the data in the table, approximate g' (3). Using correct units, interpret the meaning of '(3) in the context of the problem. 0/2 File Limit (b

 

 Write an integral expression that represents the total amount of grain added to the silo from time t=0 to time t = 8. Use a right Riemann sum with the four subintervals indicated by the data in the table to approximate the integral. 1 0/2 File Limit (c) The grain in the silo is spoiling at a rate modeled by w(t) = 32. sin ( ), where w(t) is measured in cubic feet per minute for 0

 

 

 Using the result from part (b), approximate the amount of unspoiled grain remaining in the silo at time t = 8. Submit VIHELL (d) Based on the model in part (c), is the amount of unspoiled grain in the silo increasing or decreasing at time t = 6? Show the work that leads to your answer.

 

 

A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. t (minutes) 0 1 5 8 9 g(t) (cubic feet per minute) 12.8 15.1 20.5 18.3 22.7 1. Grain is being added to a silo. At time t = 0, 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 0