Highway travel A state patrol station is located on a straight north-south freeway. A patrol car leaves the station at 9:00 A.M. heading north with position function s = f(t) that gives its loca tion in miles t hours after 9:00 A.M. (see figure). Assume s is positive when the car is north of the patrol station. a. Determine the average velocity of the car during the first 45 minutes of the trip. b. Find the average velocity of the car over the interval [0.25, 0.75]. Is the average velocity a good estimate of the velocity at 9:30 A.M.? c. Find the average velocity of the car over the interval [1.75, 2.25]. Estimate the velocity of the car at 11:00 A.M. an determine the direction in which the patrol car is moving. d. Describe the motion of the patrol car relative to the patrol station between 9:00 A.M. and noon. 40 30 s = f(1) 20 10- 0,5 1.0 15 20 2,5 3,0 10 -20- -30 Time (hours) Position (miks from station)

The table below represents the distance of a car from its destination as a function of time: Time(hours)x Distance(miles)y 0 900 1 850 2 800 3 750   Part A: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents.   PLEASE TELL ME WHAT THE AVERAGE RATE REPERESENTS  Please solve accurate and exact...previous was incomplete

For the graph shown identify the secant line and the tangent line of the function at x = 1. Ine a -2 -1 2 -1 2line b O Line "a" is the tangent line. Line "b" is the secant line. O Line "a" is the secant line. Line "b" is the tangent line. O Line "a" and “b" are both secant lines. O Line "a" and "b" are both tangent lines.