<p>Review for Pre-Calculus Final #3</p><p>1. Evaluate lim x2 – 16</p><p> x3 – 64</p><p> limit as x approaches 0? Limit as x approaches infinity?</p><p>2. Find the x-intercepts of y = (x + 2)(x2 – 5x – 6)?</p><p>3. Find the distance and midpoint of (2,4) and (-1, 7)</p><p>4. Identify the conic section: x2 – 4x – y2 – 8y – 1 = 0 and write in standard form.</p><p>5. Find the 8th term of the geometric sequence: 4, -20, 100….</p><p>6. Solve 52x-1 = 13</p><p>7. Find the 30th term of the arithmetic sequence: 4,6,8,10…</p><p>8. Graph (-3, π/4 )</p><p>9. Describe the end behavior y = -3x3 – 4x2 + 2 </p><p>10. Write the equation of a circle in General Form with a center (-3,1) and a radius of 4</p><p>11. Find the rectangular form of (-2, π /3)</p><p>12. Graph the system: x < 4, y<3, x + 2y >4</p><p>13. Write the inverse: f(x) = 3x + 2</p><p>14. Find cos x = 0 for all values.</p><p>15. Find the magnitude: (3,1,2), (-4, 5, -3)</p><p>16. Find the remainder for (4x4 – 3x2 + 2x – 1) divided by (x + 2)</p><p>17. log x – log 3 = -2</p><p>18. Write the polar form of x = 2.</p><p>19. f(x) = x – 2 and g(x) = x2 + 3 find f(g(x)) and g(f(x))</p><p>20. (a3b2)4/5 Express using radicals</p><p>21. Use sigma notation 36 + 30 + 24 + … + -6</p><p>22. A vector has a magnitude of 6 cm and a direction of 60 degrees. Find the magnitude of the vertical and horizontal components.</p><p>23. Find the 3rd term of the binomial expansion (3x + 2y)10</p><p>24. log5x = 3</p><p>25. Write the equation of the parabola with a focus of (-4,3) and a directrix of x = 2</p>