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Using Newton's method, the approximation of the root x' of f(x) = 2 – x² - sinx accurate to within 10-* starting with x, = -1.6 is: Round your answers to 3 decimal digits. -1.728 -1.326 O -0.936 O 0.413

Using Newton's method, the approximation of the root x' of f(x) = 2 – x² - sinx accurate to within 10-* starting with x, = -1.6 is: Round your answers to 3 decimal digits. -1.728 -1.326 O -0.936 O 0.413

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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1 54% 4:31 PM Using Newton's method, the approximation of the root x' of f(x) = 2 - x? - sinx accurate to within 10-2 starting with x, = -1.6 is: Round your answers to 3 decimal digits. -1.728 -1.326 -0.936 0.413 Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 3x2 + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: O -0.100 - 0.083 - 0.667 O -0.076
Transcribed Image Text:1 54% 4:31 PM Using Newton's method, the approximation of the root x' of f(x) = 2 - x? - sinx accurate to within 10-2 starting with x, = -1.6 is: Round your answers to 3 decimal digits. -1.728 -1.326 -0.936 0.413 Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 3x2 + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: O -0.100 - 0.083 - 0.667 O -0.076
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