Question

(hours) C'(t) (100's calls/hour) 0.2 AB2. A large pizza chain delivers pizzas nightly from 6PM to 2AM. On a Friday night, the rate that the pizza chain receives calls for delivery is modeled by the differentiable function C'(t), 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. (a) 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 <t < 8, at which the pizza chain receives 300 delivery calls per hour? Give a reason for your answer. (c) Using correct units, explain the meaning of the definite integral C'(t)dt in context of the problem. Use a right Riemann sum with the four subintervals indicated by the data in the table to approximate the value of [°C'(e)dt.

All questions, thank you.

Answer 1

- f(x) = x² 200-2x Given dx-1, 2-60 df - 200-22) 2x - X (-2) dt 24 4000-4 x² + 2x² = 4o0 x-2x² df = You x-2x² x 1-7) dt 200-2x)2 (zu) = 40o Cool- 223600) x-7 (200-120)2 16800 x - 7 6400 29 df - -49 de 64