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(a) Suppose that the tangent line to the curve y = f ( x ) at the point (3,11) has equation y = 5 2 x .

(a)Suppose that the tangent line to the curve y = f (x) at the point (3, −11) has equation y = −5 − 2x. If Newton's method is used to locate a root of the equation f (x) = 0 and the initial approximation is x1 = 3,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= 9. If the second approximation is found to be x2 = −6, and the tangent line to f (x) at x = 9 passes through the point (18, 5), find f (9).


(c)Use Newton's method with initial approximation x1 = 4 to find x2, the second approximation to the root of the equation x3 = 7x + 5.

Top Answer

(a) The second approximation  x 2 will be: -2.5 (b) The value of    f ( 9 ) = 1... View the full answer

2 comments
  • B appears to be wrong :/
    • Sugarnutzzz
    • May 14, 2018 at 4:16am
  • Information is missing, because there is not information about slope of tangent line, so i assumed the previous equation of tangent
    • sanyachawla1993
    • May 14, 2018 at 4:20am

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