Write a script in the language of your choice to perform the following. (a) Let fn(2) = n x² x3 2 3 xn n Write a function that, given a value x and an integer N, returns the first N terms of the sequence (an)neN, an = fn(x) as a list/array. (b) Write a function 910(x) that has a fixed point at the root(s) of fio(x). (I.e. you should write a script to perform this function 910.) (c) Let n 10. Perform the Secant method to approximate a fixed point of g10(x) (i.e. a root of f10 (x)) initialised at xo = 0.9, x₁ = 0.8. Use the stopping condition: stop either after 100 iterations or when consecutive approximations are within 10-5 = 0.00001, which ever comes first. Return both the approximation and the num- ber of iterations required.

Write a script in the language of your choice to perform the following. (a) Let fn(2) = n x² x3 2 3 xn n Write a function that, given a value x and an integer N, returns the first N terms of the sequence (an)neN, an = fn(x) as a list/array. (b) Write a function 910(x) that has a fixed point at the root(s) of fio(x). (I.e. you should write a script to perform this function 910.) (c) Let n 10. Perform the Secant method to approximate a fixed point of g10(x) (i.e. a root of f10 (x)) initialised at xo = 0.9, x₁ = 0.8. Use the stopping condition: stop either after 100 iterations or when consecutive approximations are within 10-5 = 0.00001, which ever comes first. Return both the approximation and the num- ber of iterations required.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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