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  3. (a) suppose that the tangent line to the curve y =

(a) Suppose that the tangent line to the curve y = f (x) at the point (−9, 53) has...

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Basic Math

(a)Suppose that the tangent line to the curve y =f (x) at the point (−9, 53) has equationy = −1 − 6x. If Newton's method is used to locatea root of the equation f (x) = 0 and the initialapproximation is x1 = −9, find the secondapproximation x2.
(b)Suppose that Newton's method is used to locate a root of theequation f (x) = 0 with initial approximationx1 = 9. If the second approximation is found tobe x2 = −2, and the tangent line tof (x) at x = 9 passes through the point(17, 6), find f (9).
(c)Use Newton's method with initial approximationx1 = 2 to find x2, thesecond approximation to the root of the equationx3 = 6x + 6.

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