Calculus Help

INSTRUCTIONS

· The exam is worth 100 points. There are 20 problems (each worth 5 points).

· This quiz is open book and open notes , unlimited time . This means that you may refer to your textbook, notes, and online classroom materials. You may take as much time as you wish, provided you turn in your exam no later than the due date posted in our course syllabus.

· You must show your work to receive full credit. If you do not show your work, you may earn only partial or no credit at the discretion of the professor.

16

(1) _____

(2) _____

(3) see item #3

(4) see item #4

(5) _____

(6) _____

(7) _____

(8) _____

(9) _____

(10) _____

(11) _____

(12) _____

(13) _____

(14) _____

(15) _____

(16) _____

(17) _____

(18) see item #18

(19) _____

(20) _____

1) Express the distance between the point (3, 0) and the point of the parabola

as a function of .

1) _____________

2) If and , find and .

2) _____________

3) Sketch the graph of the function. Indicate any points of discontinuity. Explain precisely why your choice of points is/are in fact discontinuities.

3) _____________

4) Sketch the translated circle . Indicate the center and radius.

4) _____________

5) According to the National Highway Traffic Safety Administration, the number of individuals arrested A(t) for driving under the influence of alcohol as a function of their age t is indicated in Table 1. Use the data in Table 1 to:

(I) Estimate the average rate of change in the number of arrests (per 100,000 drivers) for driving under the influence of alcohol between the ages of 18 and 26.

(II) Estimate the instantaneous rate of change at the age of 40 and interpret your answer.

Table 1

5) _____________

(Write Solution on next page:)

Solution to #5: