Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a) Find the root of the equation f(x) = 2cosx-x² to 2 decimal places using the Newton-Raphson method. Using 1 as a first approximation.

a) Find the root of the equation f(x) = 2cosx-x² to 2 decimal places using the Newton-Raphson method. Using 1 as a first approximation.

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
See similar textbooks
icon
Related questions
Question
100%
Solve ( a) part only and plz use Blue pen to solve this i need clear and neat writing plz Also i don't need this answer if u upload this i will gave u thumb down
9:02 Step2 b) 1:40 Step3 c) Put formula Put n =1 f'(x) = given _||| n = 2 x3 4G 73% 04:29 - 2 sin x-2x x₁ = 1 x x2 = f(x) = xnh Anh f(1) = 2 cas1 - 01² f(x₂) xn- f'(x) Xn = -2xnsin 2 cas (xn)-x₂² -2 sin (x₂)-2xn (zn)-2x₁²_2cos(x) + x₂ ² - 2 sin (x₂)-2xn 2xn sin(x)- xn² - 2 cos(x) - 2 sin (²n) - 2x - 2 24 sin (24) - 24₁ ²-2 cos(x₂) - 2 sin (24)- 224 = - 2 sin (1) - 1-2 cos (1) - 2 Sin (1)-2 1.021 - 2x₂ sin (*₂) - 4-2 (as (x₂) √x 8 Xn+1 = x₂ =
Transcribed Image Text:9:02 Step2 b) 1:40 Step3 c) Put formula Put n =1 f'(x) = given _||| n = 2 x3 4G 73% 04:29 - 2 sin x-2x x₁ = 1 x x2 = f(x) = xnh Anh f(1) = 2 cas1 - 01² f(x₂) xn- f'(x) Xn = -2xnsin 2 cas (xn)-x₂² -2 sin (x₂)-2xn (zn)-2x₁²_2cos(x) + x₂ ² - 2 sin (x₂)-2xn 2xn sin(x)- xn² - 2 cos(x) - 2 sin (²n) - 2x - 2 24 sin (24) - 24₁ ²-2 cos(x₂) - 2 sin (24)- 224 = - 2 sin (1) - 1-2 cos (1) - 2 Sin (1)-2 1.021 - 2x₂ sin (*₂) - 4-2 (as (x₂) √x 8 Xn+1 = x₂ =
a) Find the root of the equation f(x) = 2cosx-x² to 2 decimal places using the Newton-Raphson method. Using 1 as a first approximation. b) Find the root of the equation f(x) = x − 2 + Inx that has a root near 1.5. Use the Newton-Raphson formula to obtain a better estimate to 4 d.p.
Transcribed Image Text:a) Find the root of the equation f(x) = 2cosx-x² to 2 decimal places using the Newton-Raphson method. Using 1 as a first approximation. b) Find the root of the equation f(x) = x − 2 + Inx that has a root near 1.5. Use the Newton-Raphson formula to obtain a better estimate to 4 d.p.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS