Question

Utilize Newton's Method to estimate the root of 2.2x5 - 4.4x3 + 1.3x2 - 0.9x -...

Utilize Newton's Method to estimate the root of 2.2x5 - 4.4x3 + 1.3x2 - 0.9x - 4.0 = 0 with the interval [-2.-1] to the sixth decimal place. Show all work and estimations.

(Hint: Begin with x1 = -1.5)

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
Utilize Newton's Method to estimate the root of 3 sin x - x = 0 for...
Utilize Newton's Method to estimate the root of 3 sin x - x = 0 for x > 0 correct to the sixth decimal places. Show all work below. (Hint: start with x1 = 2)
Use Newton's method to approximate the root of the equation to four decimal places. Start with...
Use Newton's method to approximate the root of the equation to four decimal places. Start with x 0 =-1 , and show all work f(x) = x ^ 5 + 10x + 3 Sketch a picture to illustrate one situation where Newton's method would fail . Assume the function is non-constant differentiable , and defined for all real numbers
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to...
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. x3 + 5x − 2 = 0,    x1 = 2 Step 1 If f(x) = x3 + 5x − 2, then f'(x) = _____ x^2 + _____ 2- Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) x4 = 5 + x .
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to...
Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) 2x^3 − 3x^2 + 2 = 0, x1 = −1
Use Newton's method to approximate a root of f(x) = 10x2 + 34x -14 if the...
Use Newton's method to approximate a root of f(x) = 10x2 + 34x -14 if the initial approximation is xo = 1 x1 = x2 = x3 = x4 =
One old-time method to estimate the square root of any positive number a is called divide...
One old-time method to estimate the square root of any positive number a is called divide and average: xi+1 = xi + a xi 2 Show that this formula is equivalent to Newton method. Hint: Start by solving f (x) = x 2 − a = 0. Use Matlab code
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.
Use Newton's method to find an approximate answer to the question. Round to six decimal places....
Use Newton's method to find an approximate answer to the question. Round to six decimal places. 2) Where is the first local maximum of f(x) =3x sin x on the interval (0, Q) located?
Use Newton's method to find the number   arcsin(1/3) rounded to 14 digits after the decimal point by...
Use Newton's method to find the number   arcsin(1/3) rounded to 14 digits after the decimal point by solving numerically the equation sin(x)=1/3 on the interval [0,pi/6]. 1) Determine f(a) and f(b). 2) Find analytically f', f'' and check if f '' is continuous on the chosen interval [a,b]. 3) Determine the sign of f' and f '' on [a,b] using their plots. 4) Determine using the plot the upper bound C and the lower bound c for |f'(x)|. 5) Calculate the...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 0.8 n xn f(xn) f '(xn) f(xn) f '(xn) xn − f(xn) f '(xn) 1 2