I'm a bit lost on how to calculate and graph what the prompt is asking me for. If someone could provide some direction, that would be fantastic!

Using the data provided, estimate the total change in the object.

1. Use a right-endpoint estimate.

2. Use a left-endpoint estimate to approximate the total change of the object.

3. Calculate the best estimate for the total change of the object.

4. Graph the model using the behavior of the functions represented by the data.

5. Discuss the relevance of the solution and how this graph represents it, using the calculus terminology of curve sketching. (Is the graph decreasing or increasing? How is this related to the data presented?)

Calculate Parts I and II.

A. Using the the model for each set of data, calculate the acceleration of the object using rules for differentiation.

B. Using the model for each set of data, calculate the total change of the object using rules for integration.

Table I

t in seconds 0 5 10 15 20 25 30 35 40 45

v(t) in mph 187 152.18 122.2 96.41 74.21 55.1 38.64 24.49 12.3 1.81

Table 2:

t in seconds 9 10 19 20 29 30 39 40 44 45

v(t) in mph 127.84 122.2 78.38 74.21 41.74 38.64 14.6 12.3 3.79 1.81