Please help , Iterationmethodtan²x-x-2=0, APM Group Project- The task, instructions and tick list.B. Fixed Point Iteration, x = g(x) MethodDescription of task.7. This is a method which involves using an iterative formula. You must rearrangef(x)=0 to the form x= g(x) to get the Iterative Formula Xr+1= g(xr).8. You can rearrange this as x = g(x) in several ways. One of these iterativeformulae may be used to find a root of the equation f(x) = 0.9. If it diverges, then you need to choose a different iterative formula.10. You must show the iterative process on your graph, using your chosen softwarewhich produces a staircase (if gradient of g(x) is positive at the intersection) ora cobweb (if gradient of g(x) is negative at the intersection). You must label.x.to x₂ on your graph.11. State the equation you are trying to find a root of, which is f(x) = 0, where youdefine what your f(x) is. (There should be a different f(x) used for eachmethod.)12. Show how you have rearranged it to the form x = g(x).13. State the iterative formula that you are therefore using. This should be of theform Xr+1= g(x).14. Show a graph with your y = f(x), y = g(x) and y=x.15. Show your calculations, clearly stating the integer near the root that you havechosen to be x- and a zoomed-in graph showing the staircase or cobweb withthe first four x, values labelled (x. to x₂).16. Describe how the iterations are performed and the x, values converge to theroot, referring to both your calculations and your zoomed-in graph illustration.17. Perform a change of sign check by looking at f(x) for x values 0.000005 aboveand below your root.18. State that your root is x...... with a maximum error of ±0.00000519. Confirm that the value of g'(x) near the root is between -1 and 1 and say thatthe method only works when this is the case. You can do this in several ways,such as one of the following:i. draw a tangent to g(x) near the root and find the gradient of thistangent.ii.use the gradient function, y = g'(x) to find the gradient of g(x) nearthe root.iii.compare the steepness of the curve y = g(x) near the root with thesteepness of the line y = x (or y = -x) at this point.iv. evaluate the gradient of g(x) near the root by differentiating g(x).20. You must repeat the steps above for a case where this method fails to find aroot you are looking for, using the same equation f(x)=0 with the same f(x). Itcan be a different rearrangement x = g(x), but it doesn't have to be.Is thisrequired?Yes or NoCompleted?Date?

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The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Iteration method anx-x-2=0