Calories per Minute 15+ 12 6 3 0- (4,9) 4 8 (16, 15) (12,9) 12 Minutes (20, 15) (24,3) 16 20 24 t The rate, in calories per minute, at which a person using an exercise machine burns calories is modeled by the function f. In the figure above, ƒ (t) = − 1 t³ + ³t² + 1 for 0 ≤ t ≤ 4 and fis piecewise linear for 4 ≤ t ≤ 24. Find the total number of calories burned over the time interval 6 ≤ t ≤ 18 minutes.

2 2. Consider the function f(x) X -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 I← (i) x = Y a) Find the average rate of change on the following intervals: * € (-2,-21] (ii) x ¤ [−2, −1] -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 -4.5 -5 b) Use the graph to estimate the instantaneous rate of change at x = -2 c) Use the power rule to find f'(-2)

The graph shows the height h, in meters, of a passenger on a Ferris wheel as a function of time t, in minutes, since the ride began. Find the average rate of change of h(t) over the intervals 0 ≤ t ≤ 4 and 4 ≤ t ≤ 8. What do these average rates of change represent in this context? h(t) Height (meters) 90 80 70 60 50 40 30 20 10 Paragraph 1 2 3 4 5 6 7 8 9 10 11 Time (minutes) Add a File BI U v A/ Record Video |||| < O + v :

Pls help ASAP. Pls help on the one which is wrong. Pls do it right.