Assignment 1 1. Determine the positive root of f (x) x3 + 2x – 2 = 0 using the Newton- Raphson method and an initial guess of x = 0. 2. Determine the root of f (x) = sin x – e-* = 0 using the Newton- Raphson method in the interval [0,1] up to four decimal places. Answer = 0.5885. 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equation sinx = x/2 given that the root lies between- and Answer = 1.896

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.2P: 5.2 Evaluate the Prandtl number from the following data: , .
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Assignment 1
1. Determine the positive root of f (x)
= x° + 2x – 2 = 0 using the
Newton- Raphson method and an initial guess of x = 0.
2. Determine the root of f (x) = sin x – e* = 0 using the
Newton- Raphson method in the interval [0,1] up to four decimal
places. Answer 0.5885.
3. Using Newton- Raphson method, find the real root, correct for
three decimal places, of the equation sinx = x/2 given that the
root lies between =
and
Answer = 1.896
A O O
Transcribed Image Text:Assignment 1 1. Determine the positive root of f (x) = x° + 2x – 2 = 0 using the Newton- Raphson method and an initial guess of x = 0. 2. Determine the root of f (x) = sin x – e* = 0 using the Newton- Raphson method in the interval [0,1] up to four decimal places. Answer 0.5885. 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equation sinx = x/2 given that the root lies between = and Answer = 1.896 A O O
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