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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.

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
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
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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