this is the question

(hours) 0 1 4 6 8 C'(t) 1 (100's calls/hour) ABZ. A large pizza chain delivers pizzas nightly from 6PM to 2AM. On a Friday nightthe rate that the pim chain receives calls for delivery is modeled by the differentiable function ("(0. measured in hundreds of calls per hour. and t is measured in hours since 6PM (t = 0). Selected values of C '(t) are given in the table above. (3) Use the data in the table to approximate C " (7). Using correct units, interpret the meaning of C\"(7) in context of the problem. (b) Do the data in the table support the conclusion that there is a time t. 0 S t S B, at which the pizza chain receives 300 delivery calls per hour? Give a reason for your answer. 9 (c) Using correct units. explain the meaning of the denite integral I C '(t)dt in context of the problem. 0 Use a right Riemann sum with the four suhintervals indicated by the data in the table to approximate the value of I C'(t)dt. 0 (d) The total number of calls that the pizza chain receives for delivery on Friday night, in 100's of calls, 2 can be modeled by the function F. given by F(x) = m where x is the number of delivery 7 drivers. When there are 60 drivers. the number of drivers is decreasing at a rate of a drivers per hour. According to this model, what is the rate of change of total delivery calls with respect to time, in 100's pizzas per hour. at the time when there are 60 drivers delivering pizzas