Answer Happy

28. A bicycle courier needs to deliver an important package quickly! The courier leaves their current location with the package promptly at 9:00 am and rides down a straight road but is slowed by traffic. The courier needs to deliver the package to a location 1.5 miles away by 9:08 am. The following table contains GPS estimates of the velocity v(t) (in mph) of the courier at 1 minute intervals with t = O corresponding to 9:00 am. t| cột) | | cột) 0 0 5 8 12 15 2 10 20 3 14 8 4 10 Here t is the number of minutes since 9:00 am
Use the Midpoint rule with At = 2 (i.e., find M4) to estimate the distance the courier traveled from 9:00 am to 9:08 am. Do you think the delivery was made on time? b) Use the Trapezoidal rule with At = 2 (i.e., find T4) to estimate the distance the courier traveled from 9:00 am to 9:08 am. Do you think the delivery was made on time? Use the Corrected Trapezoidal rule with At = 2 (i.e., find C4) to esti- mate the distance the courier traveled from 9:00 am to 9:08 am. Do you think the delivery was made on time?. Use a forward difference quo- tient to estimate v (0) and a backward difference quotient to estimate v'(8). a) Use Simpson's rule with At = 2 (i.e., find S4) to estimate the distance the courier traveled from 9:00 am to 9:08 am. Do you think the delivery was made on time?