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Apply Newtons Method to find both roots of the function f (x) = 14xe^x2 12e^x2 7x^3 + 20x^2 26x + 12 on the interval [0,3].

Apply Newtons Method to find both roots of the function f (x) = 14xe^x2 12e^x2 7x^3 + 20x^2 26x + 12 on the interval [0,3]. For each root, print out the sequence of iterates, the errors ei, and the relevant error ratio ei+1/e2 i or ei+1/ei that converges to a nonzero limit. Match the limit with the expected value M from Theorem 1.11 or S from Theorem 1.12 MUST USE MATLAB

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