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.
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
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff696be10-40c4-4e87-b07d-2b68085ad61d%2Fcbe4c08e-a685-4206-99d6-6dddb9545a0d%2Ftccbkp_processed.png&w=3840&q=75)
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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