Please solve 7 and 8 question quickly from image completely and clearly

Oar Lab O Homework 9 Math 1371 Calculus I Page 5 of 6 8. 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 an 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 m In (c) Explain why Intl = (In t ) 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.7. Use the diagram below to Show graphically Where m2 and $3 would be if you used Newton's Method to approximate the root of y = f (3:) with initial estimate 3:1