Sameeksha_Math_project1

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Indiana University, Purdue University, Indianapolis *

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Mathematics

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Feb 20, 2024

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Sameeksha Desai Page 1 of 8 Mathematics 41400 Fall 2023 PROJECT - 1 Name: Sameeksha Desai University ID: 2001289888 Subject: Mathematics 41400 Professor: Luoding Zhu Write a program to solve a scalar equation f(x)=0 by Newton's method. (you might want to use the pseudocode on the book). Use your program to compute the root for each of the four equations in problem 10 on Page 139. Please upload a PDF file of your program together with a sequence of approximation to the root: X0,X1,X2,...,Xn, and the residual of the equation f(Xn), i.e. f(x0), f(x1), f(x2), .... for each of the problem(for output format see example on page 128 of the text). The residual of the equation f(Xn) should be extremely small if not zero. Otherwise, Newton's method fails and you may need to choose a different X0. Note: 1) If the language you use has a function or subroutine for computing the first derivative of a given function, you can use that function or subroutine. If not, you may compute the derivative by hand and plug it into your code, just as you do for the function itself. 2) 2)the values of nmax, delta, and epsilon in the text are your choices. You can play with them, but to begin with, you could choose nmax=1000, delta=10^-4; epsilon=10^-6.

Sameeksha Desai Page 2 of 8 a) CODE:

Sameeksha Desai Page 3 of 8 OUTPUT:

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Sameeksha Desai Page 6 of 8 c) CODE:

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Sameeksha_Math_project1

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