3. Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the Newton-Raphson Method until absolute error < 0.00001.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Number3
1. Solve one real root of e* – 2x – 5 = 0 with
-
xo = -2 using the Fixed-Point Iteration
Method until absolute error < 0.00001.
2. Compute for a real root of
sin Vx – x = Ousing three iterations of
Fixed-Point Iteration Method with xo = 0.50
until absolute error < 0.00001.
3. Calculate for one real root of tan x = 4x with
1.2 up to four decimal places using the
Newton-Raphson Method until absolute error <
0.00001.
4. Determine one real root of
8 (sin x) e¯* – 1 = 0 with xo = 0.30 using
Newton-Raphson Method until absolute error <
-х —
0.00001.
Transcribed Image Text:1. Solve one real root of e* – 2x – 5 = 0 with - xo = -2 using the Fixed-Point Iteration Method until absolute error < 0.00001. 2. Compute for a real root of sin Vx – x = Ousing three iterations of Fixed-Point Iteration Method with xo = 0.50 until absolute error < 0.00001. 3. Calculate for one real root of tan x = 4x with 1.2 up to four decimal places using the Newton-Raphson Method until absolute error < 0.00001. 4. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo = 0.30 using Newton-Raphson Method until absolute error < -х — 0.00001.
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