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Consider the two equations

p = cos(p), p = sin(p)

with solutions 0.7390851332151607 (approximately) and 0 respectively. Implement three programs for

the solution of these two equations.

(a) Fixed point iteration: pk+1 = g(pk).

(b) Fixed point iteration with Aitken acceleration.

(c) Steffensen’s acceleration.

In each case, begin with p0 = .5. Terminate when |pk − cos(pk)| < 10−12 or |pk − sin(pk)| < 10−12.

Comment on the number of iterations required in each case.

2. Use the theorems from class to answer and explain the following: Do you expect fixed point iteration

:rolleyes:i try to write this problem in c++ but didn't work can somebody please help me with this. thank you