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i. Find the real root of the given function f(x) = e²¹ − x −6=0 by Newton-Raphson iterative method and corrected to three decimal places. ii. Find the root of 3x+sinx-e³ = 0 by Regula Falsi and Secant method correct upto two decimal places, use the initial approximations as 1 and 2.

i. Find the real root of the given function f(x) = e²¹ − x −6=0 by Newton-Raphson iterative method and corrected to three decimal places. ii. Find the root of 3x+sinx-e³ = 0 by Regula Falsi and Secant method correct upto two decimal places, use the initial approximations as 1 and 2.

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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Question 3 2x i. Find the real root of the given function f(x) = e²x − x − 6 = 0 by Newton-Raphson iterative method and corrected to three decimal places. ii. Find the root of 3x+sinx-e* = 0 by Regula Falsi and Secant method correct upto two decimal places, use the initial approximations as 1 and 2.
Transcribed Image Text:Question 3 2x i. Find the real root of the given function f(x) = e²x − x − 6 = 0 by Newton-Raphson iterative method and corrected to three decimal places. ii. Find the root of 3x+sinx-e* = 0 by Regula Falsi and Secant method correct upto two decimal places, use the initial approximations as 1 and 2.
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