Employ fixed point iteration to locate the root of f

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Problem 6.1 Employ fixed-point iteration to locate the root off(x)= sin(x) - Use an initial guess of x0= 0.5 and iterate until εa≤ 0.01%.Verify that the process is linearly convergent as described at the end of Sec. 6.1.x
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6Problem 6.4 Determine the lowest positive root of f(x)= 7 sin(x) ex− 1:(a) Graphically.(b) Using the Newton-Raphson method (three iterations, x0= 0.3)(c) Using the secant method (three iterations, x-1= 0.5 and x0= 0.(d) Using the modified secant method (five iterations, x0= 0.3, δ = 0.01).4..Solution:
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7Third iteration:(c) For the secant method:First iteration:Second iteration:Third iteration:(d) For the modified secant method:First iteration:
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