= Use the Newton-Raphson method in these questions. f(x) = x3 – 3.x2 + 3 f(x) = x3 – x² - 2x + 1 On paper, sketch f (x).

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Use The Newton Raphson Method In These Questions F X X3 3 X2 3 F X X3 X 2x 1 On Paper Sketch F X 1 (105.15 KiB) Viewed 19 times

= Use the Newton-Raphson method in these questions. f(x) = x3 – 3.x2 + 3 f(x) = x3 – x² - 2x + 1 On paper, sketch f (x). On paper, sketch f (x) and show it has a Choosing a suitable integer starting value root between x = 1 and x = 2. for Xo, find Xı and an approximation for Taking xo as 1, find the first three the root between x = 2 and x = 3, both approximations for the root, correct correct to 2 d.p. to 3 d.p. Xo = [1] X1 = [1] X1 = [1] x2 = mmm [1] root X = [2] Give the error bounds between which the root must lie: X3 [1] Choose a different starting value for xo and hence find the error bounds for this root, correct to 3 d.p. <x< [2] <x< [2]