Solve for the two positive values of x that satisfies the equation e* = 3x² Using the following methods: a. Regula-Falsi method b. Newton-Raphson method Use a tolerance of 0.0001. Show the detailed calculation of the first 2 iterations. Show the complete table of iteration.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve for the two positive values of x that satisfies the equation
e* = 3x²
Using the following methods:
a. Regula-Falsi method
b. Newton-Raphson method
Use a tolerance of 0.0001. Show the detailed calculation of the first 2 iterations. Show the complete table of
iteration.
80
70
60
50
40
30
20
10
0
-10
0
0.5
1
1.5
2
2.5
3
3.5
4
Graph of f(x) = e* - 3x² and g(x) = 0
4.5
5
Transcribed Image Text:Solve for the two positive values of x that satisfies the equation e* = 3x² Using the following methods: a. Regula-Falsi method b. Newton-Raphson method Use a tolerance of 0.0001. Show the detailed calculation of the first 2 iterations. Show the complete table of iteration. 80 70 60 50 40 30 20 10 0 -10 0 0.5 1 1.5 2 2.5 3 3.5 4 Graph of f(x) = e* - 3x² and g(x) = 0 4.5 5
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