write a computer program that uses newtons method to find the root of a given function. and apply this program to find the root of the followig functions, using X0 as given . stop the iteration when the error as estimated by |Xn+1- Xn| is less than 10-6 . compare to your result for bisection. (a) f(x)=1-2xe-×/2 , X0=0; (b) f(X)=5-x-1, x0=1/4; (c) f(x)=x3-2x-5, x0=2; (d) f(x)=ex-2, x0=1; (e) f(x)=x-ex, x0=1; (f) f(x)=x6 - x -1, x0=1; (g) f(x)=x2 -sin x, x0=1/2; (h) f(x)=x3 - 2, x0=1; (i) f(x)=x+ tan x, x0=3; (j) f(x)=2 - x-1lnx , x0=1/3
write a computer program that uses newtons method to find the root of a given function. and apply this program to find the root of the followig functions, using X0 as given . stop the iteration when the error as estimated by |Xn+1- Xn| is less than 10-6 . compare to your result for bisection. (a) f(x)=1-2xe-×/2 , X0=0; (b) f(X)=5-x-1, x0=1/4; (c) f(x)=x3-2x-5, x0=2; (d) f(x)=ex-2, x0=1; (e) f(x)=x-ex, x0=1; (f) f(x)=x6 - x -1, x0=1; (g) f(x)=x2 -sin x, x0=1/2; (h) f(x)=x3 - 2, x0=1; (i) f(x)=x+ tan x, x0=3; (j) f(x)=2 - x-1lnx , x0=1/3
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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write a computer program that uses newtons method to find the root of a given function. and apply this program to find the root of the followig functions, using X0 as given . stop the iteration when the error as estimated by |Xn+1- Xn| is less than 10-6 . compare to your result for bisection.
(a) f(x)=1-2xe-×/2 , X0=0;
(b) f(X)=5-x-1, x0=1/4;
(c) f(x)=x3-2x-5, x0=2;
(d) f(x)=ex-2, x0=1;
(e) f(x)=x-ex, x0=1;
(f) f(x)=x6 - x -1, x0=1;
(g) f(x)=x2 -sin x, x0=1/2;
(h) f(x)=x3 - 2, x0=1;
(i) f(x)=x+ tan x, x0=3;
(j) f(x)=2 - x-1lnx , x0=1/3;
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