Question

Consider a function f(x) = 2x3 − 11.7x2 + 17.7x − 5. Identify the root of...

Consider a function f(x) = 2x3 − 11.7x2 + 17.7x − 5.

Identify the root of the given function after the third iteration using the secant method. Use initial guesses x–1 = 3 and x0 = 4.

CAN YOU PLZ SHOW ALL THE WORK. THANK YOU

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For the following function, determine the highest real root of f(x) = 2x3 – 11.7x2 +...
For the following function, determine the highest real root of f(x) = 2x3 – 11.7x2 + 17.7x - 5 by using (a) graphical methods, (b) fixed point iteration (three iterations, x0 = 3) (Hint: Be certain that you develop a solution that converges on the root), and (c) Newton-Raphson method (three iterations, x0 = 3). Perform an error check on each of your final root approximations (e.g. for the last of the three iterations).
Consider the function, f(x) = - x4 - 2x3 - 8x2 - 5x Use parabolic interpolation...
Consider the function, f(x) = - x4 - 2x3 - 8x2 - 5x Use parabolic interpolation (x0 = -2, x1 = -1, x2= 1, iterations = 4). Select new points sequentially as in the secant method.
Let f(x)=sin(x)+x^3-2. Use the secant method to find a root of f(x) using initial guesses x0=1...
Let f(x)=sin(x)+x^3-2. Use the secant method to find a root of f(x) using initial guesses x0=1 and x1=4. Continue until two consecutive x values agree in the first 2 decimal places.
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
If we want to minimize a function f(x) = e^(x^2) over R, then it is equivalent...
If we want to minimize a function f(x) = e^(x^2) over R, then it is equivalent to finding the root of f '(x). Starting with x0 = 1, can you perform 4 iterations of Newton's method to estimate the minimizer of f(x)? (Correct to four decimal places at each iteration).
Newton's method: For a function ?(?)=ln?+?2−3f(x)=ln⁡x+x2−3 a. Find the root of function ?(?)f(x) starting with ?0=1.0x0=1.0....
Newton's method: For a function ?(?)=ln?+?2−3f(x)=ln⁡x+x2−3 a. Find the root of function ?(?)f(x) starting with ?0=1.0x0=1.0. b. Compute the ratio |??−?|/|??−1−?|2|xn−r|/|xn−1−r|2, for iterations 2, 3, 4 given ?=1.592142937058094r=1.592142937058094. Show that this ratio's value approaches |?″(?)/2?′(?)||f″(x)/2f′(x)| (i.e., the iteration converges quadratically). In error computation, keep as many digits as you can.
Find the root of the function given below that is greater than zero with the Newton-Raphson...
Find the root of the function given below that is greater than zero with the Newton-Raphson method. First guess value You can get x0 = 0 f (x) = x2 + x - 2
Use the secant method to estimate the root of f(x) = -56x + (612/11)*10-4 x2 -...
Use the secant method to estimate the root of f(x) = -56x + (612/11)*10-4 x2 - (86/45)*10-7x3 + (3113861/55) Start x-1= 500 and x0=900. Perform iterations until the approximate relative error falls below 1% (Do not use any interfaces such as excel etc.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT