Given the equation x² = 22 and an initial guess o=10, calculate the following by the Newton-Raphson method. a) First (₁) iterative value of the root:| | b) Second (₂) iterative value of the root: c) Angle (0) (in degrees) the tangent line to the function f(x) in the f(x) = 0 equation makes with the x-axis at the co-ordinate ( (x2, f(x₂)) :

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the equation x² = 22 and an initial guess o=10, calculate the
following by the Newton-Raphson method.
a) First (₁) iterative value of the root:| |
b) Second (₂) iterative value of the root:
c) Angle (0) (in degrees) the tangent line to the function f(x) in the
f(x) = 0 equation makes with the x-axis at the co-ordinate (
(x2, f(x₂)) :
Transcribed Image Text:Given the equation x² = 22 and an initial guess o=10, calculate the following by the Newton-Raphson method. a) First (₁) iterative value of the root:| | b) Second (₂) iterative value of the root: c) Angle (0) (in degrees) the tangent line to the function f(x) in the f(x) = 0 equation makes with the x-axis at the co-ordinate ( (x2, f(x₂)) :
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