manufacturing process

Make sure to show all work

Multiple Choice / Short Answer

1. (1 pt each) Below are 4 graphs, each illustrating a Riemann Sum.

(a) (b)

(c) (d)

Match the graph above with its Riemann Sum below.

2. (2 pts) Consider points C and D. One is the centroid of the shaded region; the other is the average midpoint of n approximating rectangles as n →∞. Label each point, and briefly explain your choices in the section below right.

A particle moves along a line with velocity function v(t) = t2−t, where v is measured in meters per second. Find the displacement and the distance traveled by the particle during the time interval [0,5]

8

8

8

Extra Credit: (3 pts) Which of the following areas are equal? To receive credit, your answer must be justified by the correct explanation.

(e) (f)

1

1

1