3. While we've seen how Newton's Method can be used to approximate square roots of values, another iterative process that predates Newton's Method has also been used to approximate square roots. Let In be an approximation of vm . It is a given that In and m are both positive values. (a) If In is close to of vm , explain why is also close to vm. (b) Explain why the actual value of vm lies between In and In. In (c) Explain why Intl = ? (In + m would give a reasonable approximation of Vm. (d) Use this formula with x1 = 5 to approximate v26 correct to at least 6 decimal places. (e) Setup the Newton's Method formula that can be used to approximate vm and show that it gives the same formula as the process above