**Problem #3**Determine the roots of \( f(x) = -12 - 21x + 18x^2 - 2.75x^3 \) using the false-position method, with initial guesses of \( x_l = -1 \) and \( x_u = 0 \) and a stopping criterion of 1%.**Equation:**\[ x_r = x_u - \frac{f(x_u)(x_l - x_u)}{f(x_l) - f(x_u)} \]**Graph Explanation:**The graph displays the function \( f(x) \) along with a shaded area representing the process of finding the root using the false-position method. The line intersects the x-axis, indicating an estimation of the root. The points \( x_l \) and \( x_u \) are marked on the x-axis as initial guesses, showing how they are used to draw the line that helps calculate \( x_r \), the estimated root. The shaded area underlines the iterative process of zeroing in on the root by updating \( x_l \) or \( x_u \) based on the function's value at \( x_r \).

given that: f(x) = -12 -21x + 18x2 - 2.75x3 xl = -1, xu = 0 Next root using false position method…

Answered: Determine the roots of f (x) = -12 –…

Determine the roots of f (x) = -12 – 21x + 18x – 2.75x using the false-position method, with initial guesses of xI=-1 and xu = 0 and a stopping criterion of 1%.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: x^2-5x^(1/3)+1=0 Has a root between 2 and 2.5 use bisection method to three iterations by hand.

A: Given: x^2 - 5x^(1/3) + 1 = 0 Required: Root between 2 and 2.5

Q: Semi-infinite solids A (initially at 0°C) and B (initially at 100°C) are placed in contact with each…

Q: Information on a packet of seeds claims that 93% of them will germinate. Of the 150 seeds that I…

A: according the given datas:

Q: 48

A: The given beam is as shown below,

Q: Which of the following statements is NOT correct: Delaunay triangulation method is a criterion for…

A: This question is based on the concept of Delaunay triangulation method

Q: 7. Consider an element that conducts heat as shown below with length L, cross sectional area A, and…

Q: 2- Use the following data to evaluated the sin(0.6)) (work with 4D) 0.5 1 1.5 2 2.5

Q: Given the data below: I = 0x Axo) = 2 X1= 2 X2 = 4 Axi) = 3 Ax2) = 8 (i) Calculate the second-order…

Q: The same element (as per previous question) is considered here again. Suppose that [J11 J12] the…

Q: the duct walls to the thermocouple bead is linearly proportional to the temperature difference…

Q: * :Q4/B/ the value of X-bar is 0.987 1.5 2.5 2.5 O 2.5 0.398 O 2.5 2.5 0.857 0.55 0.254 0.5 0.487…

Q: Concrete is a commonly used construction material. One of its deficiencies is a relative weakness…

A: to find:the stress in the steel and in concrete.given:the side of a square member of concrete is the…

Q: 2 0 16 8 Solve 5X + 2A = B for X when A = -5 and B= -12 1 %3D -2 14 28 28 2.

Q: 5.) Using Gaussian Elimination, solve 1 1 3 0 1 2 1 1 0203 -1 0 2 1 W y Z 3 3 0

A: Given, The matrix is, 11112-1300203-1021wxyz=3310

Q: For the DE: dy/dx=2x-y y(0)=2 with h=0.2, solve for y using each method below in the range of…

A: Given: DE = dydx=2x-yy0=2h=0.20≤x≤3 To find: Q1) Using Matlab to employ the Euler Method Q2) Using…

Q: 8. A solid steel bar of diameter d, = M mm has a hole of diameter d2 = N mm drilled through it. A…

Q: Q6): Solve the following assignment problem for the total minimum time. Jobs M1 M2 M3 M4 M5 A 14 19…

Q: for 0<x<1 y(x) = 3e*-5 Use the Bisection Method to look for a root of the equation. Begin with…

A: Write the equation for the function. yx=3ex-5 ;for 0≤x≤1 According to the problem, start by…

Q: 33.2 solve using MATLAB. do not use syms.

A: Sure, I can help you with that.The system of equations is:dx/dt = y dy/dt = -a*y - b*u where:x is…

Q: Caldie steel will be nitrided at a temperature of 520°C. By using Table 1, determine the nitrogen…

A: Diffusion is the movement of molecules in the presence of a concentration gradient. The molecules…

Q: 11. The bending of a beam subjected to a uniform load K (N /m) is modelled as y"' = K Solve this…

Q: Determine the highest positive real root of x' - 6x? +11x = 6.1 Using Secant method (perform 2…

A: Given that function . To determine Using the secant method (three iterations, = 2.5 and = 3.5).

Q: a) b) c) Use composite Simpson's rule to estimate [xe'dx with n=4. Subsequently, find the absolute…

A: (a) Given: The function, f(x) = xex The number of subintervals, n = 4

Q: Use a 2 dimensional linear Taylor approximation to find a rational approximation to…

Q: Using the method of Least Squares, determine to 6-decimal place the necessary values of the…

Q: Ex. 15: Compute the temperature distribution in a rod that is heated at both ends as depicted in the…

A: Find outCompute the temperature the temperature distribution in a rod that is heated at both…

Q: a. Solve with 2 learned methods b. Compare the results and leave a comment.

Q: by using simple iteration method find one root of the following equation e^2x-tanx=e^-3pi/2 use 5D

A: Above problem can solved by using Newton Raphson Method .It is a one of the Iteration technique to…

Q: Using the trial function u¹(x) = a sin(x) and weighting function w¹(x) = b sin(x) find an…

Q: The weight is equal to the mass multiplied by the ground acceleration (9.81). Error true The value…

A: Answer 1: Weight: It is a force by which earth and object attract to each other is known as weight…

Q: 3. Simplex method: maximize f = 5x₁20x₂ subject to -2x₁ + 10x₂ ≤ 5, 2x₁ + 5x₂ ≤ 10 4. Simplex…

A: Solution is attached below but as per our company policy we are supposed to answer only first…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

Q: Consider the rollowing. Z = 2 Sketch a graph of the plane. 10 10 5. OF 5. 10 10 10 10 10 10 0. 0. 10…

A: Following type of problems are mostly involved in finding center of mass and surface integration…

Q: Question 2 atın,rere), A heated plate is sriown below. The temperatures of the left and right sides…

A: Differential equations of heat transfer help to provide a general idea on how the temperature…

Q: Find the three unknown on this problems using Elimination Method and Cramer's Rule. Attach your…

A: The given system of equations in matrix form as follows. 75-33-5253-7xyz= 16-80 The augmented matrix…

Q: Question 4: 1. Assign three jobs on three machines for following cost matrix job J1 A 12 B 13 C M1…

A: Given:

Q: 27.1please complete the code

A: To complete the code, let's fill in the missing parts:Explanation:% Constants L = 10; %m h = 0.01;…

Q: dq +q = 4e' with the initial condition when t = 0, q = 1. Solve for the particular solution of· dt

A: dqdt+ q= 4et Initial condition: t= 0, q=1

Concept explainers

Numerical Calculations

In the mid-20th century, the availability and the growth in power of digital computers led to the increase in the mathematical model in the field of engineering and science. The analysis of these detailed models needs to be increased.

Question

**Problem #3**

Determine the roots of \( f(x) = -12 - 21x + 18x^2 - 2.75x^3 \) using the false-position method, with initial guesses of \( x_l = -1 \) and \( x_u = 0 \) and a stopping criterion of 1%.

**Equation:**

\[ x_r = x_u - \frac{f(x_u)(x_l - x_u)}{f(x_l) - f(x_u)} \]

**Graph Explanation:**

The graph displays the function \( f(x) \) along with a shaded area representing the process of finding the root using the false-position method. The line intersects the x-axis, indicating an estimation of the root. The points \( x_l \) and \( x_u \) are marked on the x-axis as initial guesses, showing how they are used to draw the line that helps calculate \( x_r \), the estimated root. The shaded area underlines the iterative process of zeroing in on the root by updating \( x_l \) or \( x_u \) based on the function's value at \( x_r \).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Use a step size of 0.1 and round your answers to five decimal places if needed. Use Euler's method to approximate the solution x10 for the IVP y' 8y, y(0) 1. The Euler approximation for x10 is
45° AZ. 4.4.1 Solve for d1, 02, 03 using the geometric method:
Four different approximations are made for a solution. 1 12 13 14 4.024 3.026 2.944 2.564 As you can see the iterations are converging to 2.5. Find the magnitude of the Approximate Percent Relative Error of the third iteration. Input to your answer to the fourth decimal place.
For T = 1.4 sec, write the element of the discrete sequence corresponding to the function f(t) = 5t with k = 3. Provide your answer in seconds to the nearest first decimal place.
For the given data generate the forecast for each of the time period using moving average for n=3 periods and weighted moving average for n=D4, also find the forecast for the 9th 10th and 11th. S.NO DEMANDS MOVING AVERAGE n=3 WEIGHTED MOVING AVERAGE n=4 1 100 2 120 3 110 4 130 110 140 120 119 160 126.67 129 7 150 143.33 143 8 140 150 148 9. 150 147
Don't use chatgpt will upvote
I need answer within 20 minutes please please with my best wishes
Note:- • Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. • Answer completely. • You will get up vote for sure.
solve the following required A)The exhaust gas density in kg/m^3 ? B)The reaction force F_R in kN ?
Note: Please do NOT use Excel. 1. Start with a random seed sequence and explore the adjacent pairwise exchange to see if there is any improvement in the mean tardiness for the following problem. Job j tj dj 1 10 30 2 15 15 3 12 30 16 45 13 60
What's the mean of the following points? x = [-3 3 4 2 -1 1 4 5] Type your answer...