please #33,37,41,45,49,57

33-50 Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0 in Cartesian coordinates. 33. r = -2 sin 0 34. r = 1 - cos 0 35. r = 2(1 + cos 0) 36. r = 1 + 2 cose 37. r = 0, 0>0 38. r = 02 -2T = 0 = 2T 39. r = 3 cos 30 40. r = - sin 50 41. r = 2 cos 40 42. r = 2 sin 60 43. r = 1 + 3 cos 0 44. r = 1 + 5 sin 0 45. r2 = 9 sin 20 46. r2 = cos 40 47. r = 2 + sin 30 48. r20 = 1 49. r = sin (0/2) 50. r = cos (0/3)57. Show that the polar equation r = a sin + b cos 0, where ab 31$ 0, represents a circle. Find its center and radius