Problem Set 10.2 Graph each of the following. Be sure to label both the x- and y-intercepts. 619 1. + - 16 2. + x² x² 25 = 1 3. 4. + y2 4 + 1 16 9 = 1 25 5. + 7. 4x2 +25y2 100 3 = 1 دو 6. + = 1 4 4 3 8. 4x²+9y² = 36 10. 12x²+236 9. x²+8y216 Graph each of the following. Show the intercepts and the asymptotes in each case. 11. 16 12. = 1 13. y2 = 1 25 x-2 16 9 14. 4 1 25 15. y2 μέ x² = 1 16. = 1 9 12 16 25 4 17. 36 18. y2 x² 1 4 19. x²-4y² = 4 36 20. y² - 4x² = 4 21. 16y2 9x2144 Find the x- and y-intercepts, if they exist, for each of the following. Do not graph. 22. 4y² - 25x2 == 100 23. 0.4x2 +0.9y2 = 3.6 24. 1.6x² + 0.9y2 x² y2 = 1 14.4 25. 0.04 0.09 26. x2 0.16 1 0.25 27. 25x² 9 25y2 16x2 شر 16 + 1 28. + = 1 25 Graph each of the following ellipses. In each case, label the coordinates of the center and the vertices. (x-4)2 29. + 4 (y-2)² 9 = 1 (x-2)² (y-4)² 30. + = 1 4 9 32. 4x2 y2 24x4y+ 360 33. x²+9y2+4x-54y+ 76 = 0 34. 4x2 y216x + 2y + 13 = 0 31. 4x2 y24y - 12 = 0 Graph each of the following hyperbolas. In each case, label the coordinates of the center and the vertices and show the asymptotes. 35. (x-2)² y2 - = 1 16 4 - 37. 9y2 x2 4x + 54y+ 68 = 0 39. 4y² (y-2)² x² 36. = 1 16 - 38. 4x2 y224x+4y+ 28 = 0 - 9x216y+72x1640 40. 4x2 y2-16x-2y+11=0 41. Find x when y = 4 in the equation = 1. 16 42. Find x when y = 3 in the equation x² y2 + = 1. 25 16 y 2 + = 1. 16 43. Find y when x = -3 in the equation 44. Find y when x = -2 in the equation x² y2 + = 1. 9 16 45. The longer line segment connecting opposite vertices of an ellipse is called the major axis of the ellipse. Give the length of the major axis of the ellipse you graphed in Problem 3.