Use Newton’s method to: (a) Create a program that computes for the power am/n given a real number a. You are not allowed to use roots, or raise numbers to fractional powers in the formula. [Hint: This value is the solution of xn − am = 0.] (b) Create a program that computes for arcsin(x) of a given number x ∈ [0, 1]. You are not allowed to use inverse trigonometric functions in the formula but trigonometric functions such as sin, cos, tan are allowed.

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
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Use Newton’s method to:

(a) Create a program that computes for the power am/n given a real number a. You are not allowed to use roots, or raise numbers to fractional powers in the formula. [Hint: This value is the solution of x− a= 0.]


(b) Create a program that computes for arcsin(x) of a given number ∈ [01]. You are not allowed to use inverse trigonometric functions in the formula but trigonometric functions such as sincostan are allowed.

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