Question

Consider the function f(x) = 1 2 |x|. a) Can we use bisection search to find...

Consider the function f(x) = 1 2 |x|.

a) Can we use bisection search to find one of its roots? Why or why not?

b) Can we use Newton’s method to find one of its roots? Why or why not?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the bisection method to find roots for the following function on the intervals indicated: h(x)...
Use the bisection method to find roots for the following function on the intervals indicated: h(x) = x + 10 - x cosh(50/x), on [120,130]
2. (a) For the equation e^x = 3 - 2 x , find a function, f(x),...
2. (a) For the equation e^x = 3 - 2 x , find a function, f(x), whose x-intercept is the solution of the equation (i.e. a function suitable to use in Newton’s Method), and use it to set up xn+1 for Newton’s Method. (b) Use Newton's method to find x3 , x4 and x5 using the initial guess x1 = 0 . How many digits of accuracy are you certain of from these results? (c) Use x1+ ln 2   and show...
for f=(x^4)-(6.4*x^3)+(6.45*x^2)+(20.538*x)- 31.752; find the roots using bisection for five iterations
for f=(x^4)-(6.4*x^3)+(6.45*x^2)+(20.538*x)- 31.752; find the roots using bisection for five iterations
Q1: Use bisection method to find solution accurate to within 10^−4 on the interval [0, 1]...
Q1: Use bisection method to find solution accurate to within 10^−4 on the interval [0, 1] of the function f(x) = x−2^−x Q3: Find Newton’s formula for f(x) = x^(3) −3x + 1 in [1,3] to calculate x5, if x0 = 1.5. Also, find the rate of convergence of the method. Q4: Solve the equation e^(−x) −x = 0 by secant method, using x0 = 0 and x1 = 1, accurate to 10^−4. Q5: Solve the following system using the...
Consider the function f(x,y) = xe^((x^2)-(y^2)) (a) Find f(1,−1), fx(1,−1), fy(1,−1). Use these values to find...
Consider the function f(x,y) = xe^((x^2)-(y^2)) (a) Find f(1,−1), fx(1,−1), fy(1,−1). Use these values to find a linear approximation for f (1.1, −0.9). (b) Find fxx(1, −1), fxy(1, −1), fyy(1, −1). Use these values to find a quadratic approximation for f(1.1,−0.9).
let ?(?)=(?+2)(?+1)?(?−1)3(?−2)f(x)=(x+2)(x+1)x(x−1)3(x−2). To which zero of ?f does the Bisection method converges when applied on the...
let ?(?)=(?+2)(?+1)?(?−1)3(?−2)f(x)=(x+2)(x+1)x(x−1)3(x−2). To which zero of ?f does the Bisection method converges when applied on the interval [−3,2.5]
1) find a cubic polynomial with only one root f(x)=ax^3+bx^2+cx +d such that it had a...
1) find a cubic polynomial with only one root f(x)=ax^3+bx^2+cx +d such that it had a two cycle using Newton’s method where N(0)=2 and N(2)=0 2) the function G(x)=x^2+k for k>0 must ha e a two cycle for Newton’s method (why)? Find the two cycle
consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing...
consider the function f(x) = x/1-x^2 (a) Find the open intervals on which f is increasing or decreasing. Determine any local minimum and maximum values of the function. Hint: f'(x) = x^2+1/(x^2-1)^2. (b) Find the open intervals on which the graph of f is concave upward or concave downward. Determine any inflection points. Hint f''(x) = -(2x(x^2+3))/(x^2-1)^3.
Find the root of the function f(x) = 8 - 4.5 ( x - sin x...
Find the root of the function f(x) = 8 - 4.5 ( x - sin x ) in the interval [2,3]. Exhibit a numerical solution using Bisection method.
1. Use the method of Lagrange multipliers to find the maximize of the function f (x,...
1. Use the method of Lagrange multipliers to find the maximize of the function f (x, y) = 25-x^2-y^2 subject to the constraint x + y =-1 2. Use the method of Lagrange multipliers to find the minimum of the function f (x, y) = y^2+6x subject to the constraint y-2x= 0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT