1. Let f(x) = x^3 + 2x -2x^2 [url removed, login to view]^4 ,Use the bisection method with error tolerance E = .04 and initial lower bound x1 = 0 and initial upper bound x2 = 2.4 to estimate the maximum value of f(x). Write computer program to do this.
2. Let f(x1, x2) = 9 - 2x1 + 4x2 -x1^2 - 4x2^2. Preform the first iteration of the method of steepest ascent starting at (x1, x2) = (0,0) needed to get an estimate of the maximum value of f(x1,x2)