Final Exam

For numbers 1 & 2. Let c = -3. Find the following. If limit does not exist, state Does Not Exist.

1.

a.

b.

c.

2.

a.

b.

c.

For numbers 3 – 5, find the limit as x approaches the given value.

3.

4.

5.

6. What is the domain of f(x) = 3x – 17

7. Given f(x) = ?3x – 7 find the domain of f(x).

8. Find the inverse of f(x) =

9. Solve the system

10. Solve the system

11. Solve the system

12. Given that matrices A and B as follows, find the product of A and B (A * B)

13. Using the Law of Sines, find the remaining sides ad angles.

14. In a triangle where angle B = 31°, angle C = 47°, and side c = 95, Find the length of side a.

15. Using sohcahtoa: If Sin (?) = 1?2 what is the value of tan(?) ?

16. If you randomly select a card from a deck of 52 cards, what is the probability of drawing heart?

17. An unbiased die is thrown. What is the probability that it will show a number less than 3?

18. Find the 12th term of the sequence an = n(n – 6).

19. Write 8×2 – 7y2 = 56 in standard form.

20. Find the foci, the vertices and the lengths of the major and minor axes of