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2. Sketch the graphs of the functions x² - 1 and sin x versus x on the same set of axes. Use this graph to make a rough estimate of the roots of the function f(x) = x² sin x – 1 . - Find the roots correct to 6 decimal places using Newton-Raphson iteration. (Note: Obviously, x must be measured in radians.)

2. Sketch the graphs of the functions x² - 1 and sin x versus x on the same set of axes. Use this graph to make a rough estimate of the roots of the function f(x) = x² sin x – 1 . - Find the roots correct to 6 decimal places using Newton-Raphson iteration. (Note: Obviously, x must be measured in radians.)

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. Sketch the graphs of the functions x² - 1 and sin x versus x on the same set of axes. Use this graph to make a rough estimate of the roots of the function f(x) = x² sin x – 1 . - Find the roots correct to 6 decimal places using Newton-Raphson iteration. (Note: Obviously, x must be measured in radians.)
Transcribed Image Text:2. Sketch the graphs of the functions x² - 1 and sin x versus x on the same set of axes. Use this graph to make a rough estimate of the roots of the function f(x) = x² sin x – 1 . - Find the roots correct to 6 decimal places using Newton-Raphson iteration. (Note: Obviously, x must be measured in radians.)
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