21. (a) Use Newton's method to find the root of the equation 2 – xª + 3x² – 3x – 2 = 0 in the interval [1,2] correct to six decimal places. (b) Use Newton's method to find the root of the equation 3x4 – 823 +2 = 0 in the interval [2,3] correct to six decimal places. -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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21. (a) Use Newton's method to find the root of the equation r – xª + 3x2 – 3x – 2 = 0 in
the interval [1,2] correct to six decimal places.
(b) Use Newton's method to find the root of the equation 3x4 – 8x3 +2 = 0 in the interval [2,3]
correct to six decimal places.
22. A particle is moving with the given data. Find the position of the particle.
(a) v (t) = 3t – R, s (0) = 1.
(b) a (t) = 2 sint + 3 cos t, s (0) = 0, v (0) = 2.
1+t² >
Transcribed Image Text:21. (a) Use Newton's method to find the root of the equation r – xª + 3x2 – 3x – 2 = 0 in the interval [1,2] correct to six decimal places. (b) Use Newton's method to find the root of the equation 3x4 – 8x3 +2 = 0 in the interval [2,3] correct to six decimal places. 22. A particle is moving with the given data. Find the position of the particle. (a) v (t) = 3t – R, s (0) = 1. (b) a (t) = 2 sint + 3 cos t, s (0) = 0, v (0) = 2. 1+t² >
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