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Problem: Use Newton's method to find the root of the equation correct to 5 decimal places. 2-2x-x3=0 A. Sketch and label the graph with the
Problem: Use Newton's method to find the root of the equation correct to 5 decimal places. 2-2x-x3=0 A. Sketch and label the graph with the aid of a graphing utility. B. State an initial approximation x1 of your choice and explain why you chose this x1. C. Sketch the line tangent to f(x) at x1. On the previous graph in A. D. Show how calculus is used to find the equation of the tangent line. E. Show how to find the x-intercept of the tangent line.F. Explain how to repeat this procedure efficiently using an iterative formula to find x3,x4,... until the desired accuracy of xi is found. G. Record all approximations x2,... xi. H. Write a sentence that presents your conclusion and explains why the solution meets the desired accuracy
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