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(a) Use calculus to find the point on y = 2 closest to the point (3, 1) . This should result in a cubic equation

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(a) Use calculus to find the point on y = 2 closest to the point (3, 1) . This should result in a cubic equation that can be simplified to a cubic that can't be solved with basic algebraic techniques. That's ok. Find that cubic equation and express it in simplest terms. It should look like ar +br+c without any common factors shared between a, b and c. (b) Use Newton's method to improve the value r1 = 1 twice (find x3). (c) Repeat this using x1 = 2

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