2. Use central-difference method to approximate the derivative of f(x) = ln x² with valueof x at 1.8, using a step size of 0.5. Satisfy the 0.05% acceptance criteria. 3. Approximate the integral of f(x) = x² − 2x + 4 with the following unequally spacedpoints shown in the table using Trapezoidal rule. What is the absolute relative error?Xo0X10.1X20.3X30.6X41.04. Find f'(5) using backward difference method of the function7x³5x + 1f(x)2x¹ + x² + 1with a given step size of h = 0.5. Satisfy 0.1% acceptance criteria.5. Given the functionf(x) = 1 + e* sin(4x)with integration limits from a = 0 to b= 1. Use Trapezoidal Rule and Simpson's 1/3 ruleto calculate the approximate value with n = 6. Get the relative error of both methods.=

As multiple questions are there and it is not mentioned that which question to be solved, I will…

Answered: central-difference method to…

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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central-difference method to approximate the derivative of f(x) = ln x² with value Use of x at 1.8, using a step size of 0.5. Satisfy the 0.05% acceptance criteria.