51-66 Find the absolute maximum and absolute minimum values of f on the given interval. 51. f(x) = 12 + 4x x², [0, 5] 52
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51-66 Find the absolute maximum and absolute minimum values of f on the given interval. 51. f(x) = 12 + 4x x², [0, 5] 52
51-66 Find the absolute maximum and absolute minimum values of f on the given interval. 51. f(x) = 12 + 4x x², [0, 5] 52. f(x) = 5 + 54x2x³, [0, 4] 53. f(x) = 2x³ 3x² - 12x + 1, [-2,3] 54. f(x) = x³6x² +5, [-3,51 = 3x4 4x³ - 12x² + 1, [-2, 3] 3x4 - 4x³. 55. f(x) = 56. f(t) = (t²-4)³, [2, 3] 57. f(x) = x + 58. f(x) 1 = x 9 X x² = x + 1' 2 59. f(t) = t√√t, [-1,4] ex 60. f(x) [0, 3] 1 + x²⁹ 61. f(t) = 2 cost + sin 2t, [0, π/2] [TT/4, π] 62. f(0) = 1 + cos²0, = 1 + cos²0, 63. f(x) = x^²lnx, [1,4] 64. f(x) = xex/2, [-3, 1] 65. f(x) = ln(x² + x + 1), [−1, 1] 66. f(x) = x 2 tan¹x, [0, 4] [0.2, 4] [0, 3]