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Exercise 5.325 Apply Newton 's Method to approximate the root Ofeachfunction within the given interval, accurate to three decimal places. (a) f(x) (c) f

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Exercise 5.325 Apply Newton 's Method to approximate the root Ofeachfunction within the given interval, accurate to three decimal places. (a) f(x) (c) f (x) = In(x2), (6, 7). Exercise 53.26 Sketch the graphs of f and g on the same Cartesian coordinate system. Based on the sketch, choose an initial value to approximate the x-coordinate of the intersection point(s) of the two graphs. Then apply Newton's Method to determine the x-coordinate of the intersection point accurate to within two decimal places. Exercise 5.3.27 For each of the given functions nx), show that f (x) = O has a root between the given x-values. Use Newton 's Method tofind the zero(s). Hint: use the Intermediate Value Theorem. (c) f(x) = 4x3 -F 10 between x = I and x = 2.

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