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]
Answer each of the following in details~: (a) Can the Bisection method be used to find...
Answer each of the following in details~: (a) Can the Bisection method be used to find the roots of the function ?(?) = 1 + ??? ?? Justify your Answer. (b) While using the Newton’s method with the initial guess ?0 = 4 and ?(?0) = 1 gives ?1 = 3. Find ?′(?0). (c) While using the Secant method for finding a root, ?0 = 2, ?1 = −1, ??? ?2 = −2 with ?(?1) = 4. Find ?(?0).
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...
Mark T (true) or F (false). Justify your answer when it is false. (a) The secant...
Mark T (true) or F (false). Justify your answer when it is false. (a) The secant method is always guaranteed to converge, while Newton’s method is not. (b) The secant method can be used without having a formula for f′(x). (c) Newton’s method exhibits slower convergence than the secant method. (d) We can use the bisection method to a function f(x) without having any knowledge of the derivative f′(x) (e) In order to use the bisection method, we need to...
Use the Bisection Method to locate all solutions of the following equations. Sketch the function by...
Use the Bisection Method to locate all solutions of the following equations. Sketch the function by using Matlab’s plot command and identify three intervals of length one that contain a root. Then find the roots to six correct decimal places. (a) 2x3 − 6x − 1 = 0 (b) ex−2 + x3 − x = 0 (c) 1 + 5x − 6x3 − e2x = 0 **MUST BE DONE IN MATLAB AND NEEDS CODE
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...
Let f(x)=x-cos x. Use the bisection method to find a root in the interval [.25,1].  Continue until...
Let f(x)=x-cos x. Use the bisection method to find a root in the interval [.25,1].  Continue until two consecutive x values agree in the first 2 decimal places.
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).
Consider the function f(x) = x 2 − x on [−1, 1]. Find the minimum and...
Consider the function f(x) = x 2 − x on [−1, 1]. Find the minimum and the maximum of f(x) on the given interval.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT