Question:
Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: (i) f(x) = x^3, x in [-2, 2] (ii) f(x) = sin x + cos x, x in [0, π] (iii) f(x) = 4x - 1/2 x^2, x in [-2, 9/2] (iv) f(x) = (x - 1)^2 + 3, x in [-3, 1].