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2. Locate the first positive root of f(x) = sinx + cos(1 +x³)- 1 where x is in radians. Use four iterations of the secant method with initial guesses of (a) x_1 = 1.0 and x, = 3.0; (b) x_1 = 1.5 and x, = 2.5; (c) x_ = 1.5 and x, = 2.25 to locate the root. %3D

2. Locate the first positive root of f(x) = sinx + cos(1 +x³)- 1 where x is in radians. Use four iterations of the secant method with initial guesses of (a) x_1 = 1.0 and x, = 3.0; (b) x_1 = 1.5 and x, = 2.5; (c) x_ = 1.5 and x, = 2.25 to locate the root. %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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2. Locate the first positive root of f(x) = sinx + cos(1 +x²)- 1 where x is in radians. Use four iterations of the secant method with initial guesses of (a) x_1 = 1.0 andx, = 3.0; (b) x_1 = 1.5 and x, = 2.5; (c) x_1 = 1.5 and x, = 2.25 to locate the root.
Transcribed Image Text:2. Locate the first positive root of f(x) = sinx + cos(1 +x²)- 1 where x is in radians. Use four iterations of the secant method with initial guesses of (a) x_1 = 1.0 andx, = 3.0; (b) x_1 = 1.5 and x, = 2.5; (c) x_1 = 1.5 and x, = 2.25 to locate the root.
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