Consider the following problem:
Maximize f(x) = 48x5 + 42x3 + 3.5 x – 16x6 – 61x4 – 16.5x2.
(a) Apply the bisection method to (approximately) solve this problem. Use an error tolerance ϵ = 0.08 and initial bounds x = –1,  = 4.
(b) Apply Newton’s method, with ϵ = 0.001 and x1 = 1, to this problem.