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Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D

Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D

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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Please answer 4-6. Thank you

LEARNING ACTIVITY 2 Exercise problems: Carry five significant figures in all calculations, unless otherwise stated. Continue all iterative procedures until four significant figures have converged. 1. Solve e* - 2x – 2 = 0 by Newton's method. Use x, = 1.0 as the initial estimate. %3D 2. Solve x3 – 2x² – 2x + 1 = 0 by Newton's method. Use x, = 1.0 as the initial estimate. 3. Find the positive root of the equation f(x) = x15 – 1 = 0, by Newton's method with xo = 1.1. 4. Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D 5. Solve e* – sin() = 0 by Secant method. Use x-1 = -3.0 and xo = -2.5 %3D %3D as starting values. 6. Solve e* - 2x - 2 = 0 by Secant method. Use x-1 the starting values. = 1.0 and xo = 2.0 as %3D
Transcribed Image Text:LEARNING ACTIVITY 2 Exercise problems: Carry five significant figures in all calculations, unless otherwise stated. Continue all iterative procedures until four significant figures have converged. 1. Solve e* - 2x – 2 = 0 by Newton's method. Use x, = 1.0 as the initial estimate. %3D 2. Solve x3 – 2x² – 2x + 1 = 0 by Newton's method. Use x, = 1.0 as the initial estimate. 3. Find the positive root of the equation f(x) = x15 – 1 = 0, by Newton's method with xo = 1.1. 4. Solve x - cos(x) = 0 by Secant method. Use x-1 = 0.5 and xo = 1.0 as the initial estimates. %3D 5. Solve e* – sin() = 0 by Secant method. Use x-1 = -3.0 and xo = -2.5 %3D %3D as starting values. 6. Solve e* - 2x - 2 = 0 by Secant method. Use x-1 the starting values. = 1.0 and xo = 2.0 as %3D
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