Given a starting guess of xo = 5, what is an approximation to a root of f(x) = x² – 4using one step of Newton's method?(a) 2(Ъ) 2.1(c) 2.9(d) 95/21(е) 7.1

OPTION (a ) IS CORRECT APPROXIMATE ROOT OF THE EQUATION X2-4 =0 USING NEWTON'S METHOD IS '2'

Answered: Given a starting guess of xo = 5, what…

Given a starting guess of xo = 5, what is an approximation to a root of f(x) = x2 – 4 using one step of Newton's method? (а) 2 (b) 2.1 (c) 2.9 (d) 95/21 (e) 7.1

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

See similar textbooks

Related questions

Q: 2 y = 0.38 sin x-.49x²

Q: Use Newton's method to approximate a root of the equation 2x + 3x2 + 2=0 as follows: Let 1 =-2 be…

A: Given: f(x)=2x3+3x2+2=0and first approximation x1=-2Differentating f(x) with respect to "x"Then…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () <0. f(x) has a root in - [o]. If we use…

Q: The 2nd approximation to the real root of the equation e - 4x = 0 with initial guess xo = 0.3 using…

A: Newton Raphson method is the process of obtaining the roots of a function by repeated iterations of…

Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)ƒ () <0. f(x) has a root in [0]. If we use…

Q: 2. Determine one real root of 8 (sin x) e-² – 1 = 0 xo = 0.30 using Newton-Raphson | with %3D Method…

A: To solve the following problem, we use the Newton Rephson formula

Q: Find a general solution to the given equation by using Newton's method or some other numerical…

Q: 4. Find the positive root of the equation correct to 3 decimal places, using Newton-Raphson method…

Q: 1. Calculate for one real root of tan x = 4x with xo = 1.2 up to six decimal places using the…

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

A: Given : 2/x - x² + 1 = 0, x1 = 2

Q: Use Newton's method with the specifled Initial approximation x, to find X3, the third approximation…

A: Newton's Method :If xn is a approximation solution of f(x) = 0 and if f'(xn)≠0 , then the next…

Q: Apply Newton's Method three times to determine an approximate value of the zero of f(x) = ex −5,…

A: From the given problem: fx=ex-5 ; x0=2 As we know that the iteration formula for Newton's Method…

Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [0]. If we use…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0]. If we use…

Q: Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to…

A: TO FIND SECOND APPROXIMATION BY NEWTON METHOD BY BELOW ITERATION METHOD Xn+1=Xn-f(xn)/f'(xn) put…

Q: 16. Find the root of f(x) = x³ – 2x2 – 2 = 0 in [2, 3] correct to 3 decimal places, using the…

Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript 0=2

A: We have to use the Newton Raphson method to approximate the value of the expression 713. We have to…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () <0. f(x) has a root in [o,. If we use…

Q: 2. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo 0.30 using three iterations of…

Q: Use Newton's method with the specified initial approximation x1 to find x3, the third approximation…

A: We find the f'(x) using the power rule

Q: Q1. What does the Newton's method produce to the actual root by repeating the approximation?

Q: Write the formula for Newton's method and use the given initial approximation to compute the…

A: The solution is given below

Q: Use Newton's method with the specified initial approximation x1 to find x3, the third approximation…

Q: . Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in - [0]. If…

Q: Find atleast three approximations of a solution of the equation f(x) = x – 2x3 0 by Newton Rampson…

Q: Use Newton's method with the specified initial approximation x1 to find x3, the third approximation…

A: The solution is given below:

Q: Use Newton's method to approximate a root of the equation 2x+ 3x+2=0 as follows: Let 1=-2 be the…

Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript0 =2

A: Given a number 713 and initial approximation is x0=2

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

A: Given: 13x3+12x2 = 0, x1 = -3 To find: The value of x3 using Newton's method.

Q: 1. Consider the function f(x) = 7x3 – 8x + 4. Find the solution of the equation f(x) = 0, within…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use…

Q: The first approximation P, of the solution to the equation f(z) = 2 -7 that is near to Po = 3 using…

Q: Use Newton's method to approximate a root of the equation 3x + 7x +3 = 0 as follows. Let x1 = – 2 be…

Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

Q: 2. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo = using three iterations of Newton-…

Q: Use Newton's method to approximate a root of the equation 4x° + 8x + 1 0 as follows. - 2 be the…

Q: Use Newton's method to approximate a root of the equation 2x^7+6x^4+2=0 as follows. Let x1=2 be the…

A: Given equation is : 2x7+6x4+2=0 Let fx=2x7+6x4+2 x1=2 To find second approximation and third…

Q: Use Newton's method to approximate a root of the equation 2 cos (a² + 4) = x° as follows. Let x1 2…

A: Let's find.

Q: Use Newton's method to approximate a root of the equation x³ + x + 3 = 0 as follows. Let 1 1 be the…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ(x) has a root in [o,]. If we…

Q: 1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the…

A: Ques : tanx=4x f(x) = tan(x)-4x f'(x) = sec2(x)-4 x0 = 1.2 By Newton Raphson method xn+1…

Q: Q3) Find the root of the equation F(x)=x² - 3(sinx)² by using Newton Raphson method with initial…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ(x) has a root in [0]. If we use…

A: The equation in the form fx=0 is called a transcendental equation. The solution of the equation is…

Q: Use Newton's method to approximate a root of the equation 2x³ + 5x +1 = 0 as follows. Let ¤1 = – 1…

Q: 1. Use Newton-Raphson method to find sixth iteration of a real root of the equation: cosx-xe* =0…

A: Formula Used: xn+1 = xn - { f(xn) / f'(xn) } .

Q: Plan to use Newton's method to approximate solutions to the equation 9^x +3x^3 + 2x. Using the…

A: given :- x_0 = 3 f(x) = 9^x + 3x^3 + 2x to find :- x_1.

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. f(x) has a root i [0]. If we use…

Q: Consider the function f(x) = cos x - 3x +1. Since f(0)ƒ () <0, f(x) has a root in [0]. If we use…

Q: Write the formula for Newton's method and use the given initial approximation to compute the…

Q: Find atleast three approximations of a solution of the equation f(x) = x – 2x = 0 by Newton Rampson…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Question

Given a starting guess of xo = 5, what is an approximation to a root of f(x) = x² – 4
using one step of Newton's method?
(a) 2
(Ъ) 2.1
(c) 2.9
(d) 95/21
(е) 7.1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.