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(a) Suppose that the tangent line to the curve y = f(x) at the point (8.26) has equation y = 6 4x. If Newton's method
(a) Suppose that the tangent line to the curve y = f(x) at the point (8.26) has equation y = 6 4x. If Newton's method is used to locate a root of the equation f (x) = 0 and the initial approximation is x1 = 8, find the second approximation x2. (b) Suppose that Newton's method is used to locate a root of the equation f (x) = 0 with initial approximation x1 = 2. If the second approximation is found to be x2 = 8, and the tangent line to f (x) at x = 2 passes through the point (18, 9), find f (2). (c) Use Newton's method with initial approximation x1 = 4 to nd x2, the second approximation to the root of the equation x3 = 7x 9
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