If f is a function and a and b are numbers such that f(a)f(b) This procedure repeats until the…
If f is a function and a and b are numbers such that f(a)f(b) < 0, i.e. f has a root in theinterval (a, b), the method of bisection computes an approximation to this root as follows steps in image below
This procedure repeats until the interval has length less than some tolerance e, i.e. until |b – a| = e. Once the procedure halts, the most recent value of c is taken to be our approximation to the root of f .• Use Excel to graph the function f (x) = sin(x) + cos(x) over the interval [-1.25p, 0.75p] using 200 steps.• Write code to implement the method of bisection.• You should use e = 10^-5 as your tolerance.• Your code should ask the user for a initial values of a and b (either from the spreadsheet or using input boxes) and display the final approximation and the number of iterations computed (either on the spreadsheet or using a message box).• Use your code to estimate the root in the middle of the interval plotted.
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