   Chapter 4.8, Problem 30E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# (a) Apply Newton’s method to the equation 1/x − a = 0 to derive the following reciprocal algorithm: x n + 1 = 2 x n − a x n 2 (This algorithm enables a computer to find reciprocals without actually dividing.)(b) Use part (a) to compute 1/1.6984 correct to six decimal places.

(a)

To determine

To Derive: The square root of the given reciprocal equation by Newton’s method

Explanation

Given:

The equation is 1xa=0.

Formula used:

The Newton’s method is xn+1=xnf(xn)f(xn).

Calculation:

Let f(x)=1xa and obtain the derivative of f(x).

Let the derivative of f(x)=df(x)dx

f(x)=d(1xa)dx=d

(b)

To determine

To Compute: The root of 11.6984 correct to six decimal places by using part (a).

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### 6x2(3x2+2)+14(x+2)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In Exercise 1-6, express each equation in logarithmic form. 813/4=27

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Using the power series for cos x, the sum of the series is: cos(0.0625) cos(0.25) cos(0.5)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 