Review for Pre-Calculus Final #3

1. Evaluate lim x2 – 16

x3 – 64

limit as x approaches 0? Limit as x approaches infinity?

2. Find the x-intercepts of y = (x + 2)(x2 – 5x – 6)?

3. Find the distance and midpoint of (2,4) and (-1, 7)

4. Identify the conic section: x2 – 4x – y2 – 8y – 1 = 0 and write in standard form.

5. Find the 8th term of the geometric sequence: 4, -20, 100….

6. Solve 52x-1 = 13

7. Find the 30th term of the arithmetic sequence: 4,6,8,10…

8. Graph (-3, π/4 )

9. Describe the end behavior y = -3x3 – 4x2 + 2

10. Write the equation of a circle in General Form with a center (-3,1) and a radius of 4

11. Find the rectangular form of (-2, π /3)

12. Graph the system: x < 4, y<3, x + 2y >4

13. Write the inverse: f(x) = 3x + 2

14. Find cos x = 0 for all values.

15. Find the magnitude: (3,1,2), (-4, 5, -3)

16. Find the remainder for (4x4 – 3x2 + 2x – 1) divided by (x + 2)

17. log x – log 3 = -2

18. Write the polar form of x = 2.

19. f(x) = x – 2 and g(x) = x2 + 3 find f(g(x)) and g(f(x))

20. (a3b2)4/5 Express using radicals

21. Use sigma notation 36 + 30 + 24 + … + -6

22. A vector has a magnitude of 6 cm and a direction of 60 degrees. Find the magnitude of the vertical and horizontal components.

23. Find the 3rd term of the binomial expansion (3x + 2y)10

24. log5x = 3

25. Write the equation of the parabola with a focus of (-4,3) and a directrix of x = 2