You can use any programming software. It can be Matlab,Python,etc.

Problem 8. Let f(x) = (sin(c) + cos(x))/2. Use a graph to make a reasonable guess at to where a fired point ao might be. Write the first few terms of the sequence {anno where a; = f(a;-1) for each i > 1. Report your preliminary findings. Make a conjecture as to how to find fixed points, Let g(x) = sin(x)/x. Can you find a fixed point for g starting from the point a = .4? What if a = .1? What if a = 1.3? What if a =? What impact does this have on your conjecture? Write and code a fixed point finding algorithm that has appropriate fail safes. Problem 8. Let f(x) = (sin(c) + cos(x))/2. Use a graph to make a reasonable guess at to where a fired point ao might be. Write the first few terms of the sequence {anno where a; = f(a;-1) for each i > 1. Report your preliminary findings. Make a conjecture as to how to find fixed points, Let g(x) = sin(x)/x. Can you find a fixed point for g starting from the point a = .4? What if a = .1? What if a = 1.3? What if a =? What impact does this have on your conjecture? Write and code a fixed point finding algorithm that has appropriate fail safes