Suppose the tangent line to the curve y = f(x) at the point (7,9) has the equation y = -3x + 30. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial approximation is æ1 = 7, the second approximation x2 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Suppose the tangent line to the curve y = f(x) at the point (7,9) has the equation
y = -3x + 30.
If Newton's method is used to locate a root of the equation f(x) = 0 and the
initial approximation is x1 = 7, the second approximation x2
Transcribed Image Text:Suppose the tangent line to the curve y = f(x) at the point (7,9) has the equation y = -3x + 30. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial approximation is x1 = 7, the second approximation x2
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