(:1) Suppose that the tangent line to the curve j: =f{x) at the point (9, 30) has equation _1-' = 6 43:. If Newton's method is used to locate a root of the equation x) = 0 and the initial approximation is x1 = 9, find the second approximation x3 . (1)) Suppose that Newton's method is used to locate a root of the equation f (x) = 0 with initial approximation x1 = 7". If the second approximation is found to be x2 = 6, and the tangent line to f (x) at x = 7' passes through the point (13, 2), nd?) (C) Use Newton's method with initial approximation x1 = 2 to nd x3, the second approximation to the root of the equation x3 = 3x + T