Question: The polynomial (x) = 0.0074x4 0.284x3 + 3.355x2 12.183x + 5 has a real root between 15 and 20. Apply the Newton Raphson

The polynomial ƒ(x) = 0.0074x4 – 0.284x3 + 3.355x2 – 12.183x + 5 has a real root between 15 and 20. Apply the Newton Raphson method to this function using an initial guess of x0 = 16.15. Explain your results.

Step by Step Solution

★★★★★

3.43 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The formula for NewtonRaphson is Using an initial guess of 16... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

45-M-N-A-E-R (46).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

(a) Start with an initial guess of x = 1 and y = 1 and apply two applications of the steepest ascent method to (x, y) from Prob. 14.4. (b) Construct a plot from the results of (a) showing the path of...

Suppose f has a real root r and Newtons method is used to approximate r with an initial approximation x 0 . The basin of attraction of r is the set of initial approximations that produce a sequence...

The nth Taylor polynomial for a function f at x0 is sometimes referred to as the polynomial of degree at most n that "best" approximates f near x0. a. Explain why this description is accurate. b....

I need this with matlab please The polynomial f(x) = 0.0074x^4 - 0.284x^3 + 3.355x^2 - 12.183x + 5 has a real root between 15 and 20. Create a MATLAB script to apply the Newton-Raphson method to this...

The polynomial f(x) = 0.0074x4 0.284x3 + 3.355x2 12.183x + 5 has a real root between 15 and 20. Using the Newton-Raphson method with an initial guess of x0 = 16.15 and a 1%, find the root of the...

Need Solution for 6.15 using PYTHON PROGRAMMING? where x is in radians. Use four iterations of the secant method with guesses of*,-1 - initial guesses of (a) Xi-1 x; 2.5, and (c) x 1-1.5 and x = 225...

Function driver and script file please 4) The polynomial f (x)-0.0074x*-0.284x3+ 3.355x2 12.183x +5 has a real root between 15 and 20. Apply the Newton-Raphson method to this function using an...

Function drivers and scripts answers please. Nothing on paper. Thank you! Solved-X-1-0 using fixed point iteration and 125 as your starting point. with Question 1 results with Question 1. Apply the...

please solve matlab answer also. Question 4 Consider the polynomial: f (x)0.0074x4 - 0.284x3 + 3.355x2 - 12.183x +5 f(x) has a real root between 15 and 20 (which you should verify by plotting the...

Question 4 Consider the polynomial:f(x)0.0074x4- 0.284x3 +3.355x2 - 12.183x +5 f(x) has a real root between 15 and 20 (which you should verify by plotting the function). Using the Newton-Raphson...

1. A cylindrical cup, 100 mm diameter and 85 mm deep is to be drawn from a steel sheet of deep drawing quality, 1 mm thick. Determine the blank diameter and the other drawing variables for the dies...

Obtain the F.O.N.C. for the following problems: (a) max(K20,N,20} IIt = AtF(Kt, Nt) - rtKt - wt Nt. (b) max* c* = Af(k*) - (8 + n) k*. Solve the following expression for k and simplify the result as...

Solve for t to two decimal places. 3 = e 0 . 0 7 t t ~~ ( Do not round until the final answer. Then round to the nearest hundredth as needed. )

What is the major product of the following reaction? H* CH;-CH-CH,CH: heat Answer:

Which carboxylic acid (-COOH) is the strongest acid? C1 I. COOH IV. COOH C1 C1 I. COOH V. COOH II. C1 C1 -COOH C1 Select one: II V

The following molecule is aromatic, true or false? Select one: True False

Provide a series of reactions that we covered in this course to perform the following synthesis: (No need to provide the mechanism) a. Prepare from propyne and chloroethane and any other required...

When OPEC raised the price of oil dramatically in the mid-1970s, experts said it was unlikely that the cartel could stay together over the long termthat the incentives for individual members to cheat...

The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough edges, 3% of products slit with blades of average sharpness exhibit...

Samples of laboratory glass are in small, light packaging or heavy, large packaging. Suppose that 2 and 1% of the sample shipped in small and large packages, respectively, break during transit. If...

Incoming calls to a customer service center are classified as complaints (75% of call) or requests for information (25% of calls). Of the complaints, 40% deal with computer equipment that does not...

The accompanying table shows the discrete probability distribution for the number of bedrooms per house in a certain community: a. Determine the mean number of bedrooms per house. b. Determine the...

McCoy paid a one-time special dividend of $3.00 on October 18, 2010. Suppose you bought McCoy stock for $46 on July 18, 2010, and sold it immediately after the dividend was paid for $63.16. What was...

Estimate a multiple linear regression relationship with the U.K. stock returns as the dependent variable, and U.K. Government Bond yield (Interest rate), U.S. Stock Returns, and Japan Stock Returns...