2. By taking x = 2 as the first approximation, calculate using the Newton-Raphson method for 73 correct to three significant figures. Answer: 1.91

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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1. By taking 0.2 as first approximation find the root of the equation x² -+4 = 0 ,giving your
answer to three significant figures by using the Newton Raphson method.
Answer : 0.246
2. By taking x = 2 as the first approximation, calculate using the Newton-Raphson method for
73 correct to three significant figures.
Answer: 1.91
3. Show that there is a real root for cos x=x between x = 0.5 radian and x =1 radian. Hence, find
the real root correct to four decimal places using Newton-Raphson method.
0.739
Answer:
Transcribed Image Text:1. By taking 0.2 as first approximation find the root of the equation x² -+4 = 0 ,giving your answer to three significant figures by using the Newton Raphson method. Answer : 0.246 2. By taking x = 2 as the first approximation, calculate using the Newton-Raphson method for 73 correct to three significant figures. Answer: 1.91 3. Show that there is a real root for cos x=x between x = 0.5 radian and x =1 radian. Hence, find the real root correct to four decimal places using Newton-Raphson method. 0.739 Answer:
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