Given the function f(x) = -x4 - 2x³ - 8x² - 5x (a) Use analytical and graphical methods to show the function has a maximum for some value of x in the range -2 ≤ x ≤ 1 (b) Employ the Golden-section search to find the maximum of the function f(x) using (x₁= -2, xu = 1, &, = 1%) (c) Employ the Newton's method to find the maximum of the function f(x) using (xo = -1, &s = 1%)

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