Write a simple, self-contained program to apply Newton’s method to the equation x3 + 2x2 + 10x = 20, starting with x0 = 2. Evaluate the appropriate f (x) and f ′(x), using nested multiplication. Stop the computation when two successive points differ by 1/2 × 10−5 or some other convenient tolerance close to your machine’s capability. Print all intermediate points and function values. Put an upper limit of ten on the number of steps.
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