Hi there looking for help for some questions

Consider finding a numerical solution to f($)=a:3+3$22=0. ising the iterative scheme : : k : 0 1 . o - (a) Using an initial guess $0 : 0, calculate 3:2 to two decimal places. $2 - (b) Theory guarantees that the fixed-point iteration converges to a solution for every initial guess :30 greater than what minimum value (accurate to two decimal places)? Consider the nonlinear equation x = cos (0.3x) Starting from an initial guess x0 = 3.7, two iterations of Newton's method gives to two decimal places NumberConsider the nonlinear system of equations :32 4y : 11, 4a: 7 y2 = 5. Starting from the initial approximation ($30,310) = (5, *4), one step of Newton's method gives to decimal places 2:1 : Number 91 : Number