I only need #'s 35,65,69. (Please show work)
In Problems 31-40, find the intervals on which the graph off is concave upward, the intervals on which the graph of f is concave downward, and the x, y coordinates of the inflection points. 31. f(x) = x 24x² 32. f(x) = 3x² 33. f(x) = x³ − 3x² + 7x + 2 34. f(x) = x³ + 3x² + 5x4 35. f(x) = x² + 12x³ - 7x + 10 18x²
C In Problems 53-74, summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x) - 53. f(x) = (x-2)(x² - 4x − 8) 54. f(x) = (x3)(x² - 6x − 3) 55. f(x) = (x + 1)(x² − x + 2) 56. f(x)= (1-x) (x² + x + 4) 57. f(x) = -0.25x² + x³ 0.25x² - 2x³ 58. f(x) = 59. f(x) = 16x(x - 1)³ 60. f(x) = −4x(x + 2)³ 61. f(x) = (x² + 3) (9-x²) 62. f(x) = 63. f(x) = (x² − 4)² 64. f(x) = (x² - 1)(x² - 5) 65. f(x) = 2x63x² 66. f(x) = 3x³ - 5x4 (x² + 3) (x² − 1) 67. f(x) = 1 ex 69. f(x) = 0.5x + 4e-0.5x 68. f(x) = 2 3e-2r 70. f(x) = 2e0.5x + e-0.5x
I only need #'s 35,65,69. (Please show work)
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