Consider the following problem:

Maximize f(x)
x3  2x  2x2  0.25x4

.

I

(a) Apply the bisection method to (approximately) solve this problem. Use an error tolerance 
0.04 and initial bounds x


0, x

2.4.

(b) Apply Newton’s method, with 
0.001 and x1
1.2, to this problem.