Newtons method lappes 5. In this problem we are going to find the point on the c

Question

Newtons method

lappes 5. In this problem we are going to find the point on the curve y 1/r that is closest to the point (1,0). a. Find the function (in the single variable z) that gives the distance from any point on the curve y = 1/x to the point (1,0). b. Compute the derivative of the distance function that you found in part a. Compute the derivative of the distance function that you found in part a c. Display the necessary work to show that finding the critical points of the distance function leads to solving the equation z4-z3-1-0. d. Now use Newton's Method to find all of the solutions of the equation What point on the curve y-1/z is closest to the point (1,0)? e.

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Newtons method lappes 5. In this problem we are going to find the point on the c

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