Question
In: Mechanical Engineering
To find a positive root for , write a MATLAB script file that uses Bisection method....
To find a positive root for , write a MATLAB script file that uses Bisection method. Choose any initial value that is needed. Use absolute relative approximate error to be less than 0.01. Your code should report the number of iteration and the value of x.
Solutions
samet mamat answered 1 year agoRelated Solutions
Write a MATLAB script file that will give the value of f(x) using method of least...
Write a MATLAB script file that will give the value of f(x)
using method of least squares and asks the user to enter values of
x, y, n (curve fit), and x for f(x).
Write a MATLAB script file that will give the value of f(x) using method of least...
Write a MATLAB script file that will give the value of f(x)
using method of least squares and asks the user to enter values of
x, y, n (linear, quadratic, or cubic), and x for f(x).
Write a MATLAB script file to integrate using trapezoid method (do not use trapz command for this...
Write a MATLAB script file to integrate using
trapezoid method (do not use trapz command for this part, write
your own script). Consider x=-0.5 to 3 with Δt=0.01, and compare
your result with using “integral” and "trapz" commands (all in one
file).
USING BISECTION METHOD, FIND THE ROOT OF 0.5e^x - 5x + 2 = 0 ON THE...
USING BISECTION METHOD, FIND THE ROOT OF 0.5e^x - 5x + 2 = 0 ON
THE INTERVAL [ 0 , 1 ] UP TO 3 DECIMAL PLACES.
USE NEWTON'S METHOD TO APPROXIMATE THE ROOT OF f(x)=x^2-5
IN THE INTERVAL [ 2 , 3 ] UP TO 4 DECIMAL
PLACES.
Write one a MATLAB function that implements the Bisection method, Newton’s method and Secant Method (all...
Write one a MATLAB function that implements the Bisection
method, Newton’s method and Secant Method (all in one function).
Your function must have the following signature
function output = solve(f,options)
% your code here
end
where
the input is
• f: the function in f(x) =0.
options: is a struct type with the following fields o method:
bisection, newton or secant
tol: the tolerance for stopping the iterations.
maximum_iterations: the maximum number of iterations
allowed.
initial_guess: that is P_0; if...
MatLab code for Bisection and Newton Method to find root for f(k) = p(k)^3+2*(p(k)^2)-10 on interval...
MatLab code for Bisection and Newton Method to find root for
f(k) = p(k)^3+2*(p(k)^2)-10 on interval [-1,2]. P(o)=1.5,
P(1)=2.
Answer=
1.654249
Part A: Write a MATLAB script to find the volume of the cylinder in gallons, as...
Part A: Write a MATLAB script to find the volume of the cylinder
in gallons, as well as the tank dimensions in feet. Assume that the
initial measurements are 7 meters in diameter and 11 meters tall.
Display your final answers to the screen using disp and a statement
without a semicolon, e.g. write the following into your script
disp(‘The capacity in U.S. gallons is:’), capacity, where capacity
is a variable that you defined in preceding calculations.
Part B: In...
Write Matlab programs implementing the algorithms based on bisection,Newton, and secant method for numerical solution of...
Write Matlab programs implementing the algorithms based on
bisection,Newton, and secant method for numerical solution of
scalar nonlinear equa-tions. Use these programs to compute
approximations to real roots of the
following equations:
exp(x)−3x^2=0, (1)
x^3=x^2+x+1, (2)
exp(x) =1/(0.1 +x^2), (3)
and
x= 1 + 0.3 cos(x). (4)
Use an error tolerance tol=10^(−12). Display the obtained
approximations to the roots of these equations, and compare the
number of iterations, starting with the same initial values x0 for
bisection and Newton methods,...
Write a Matlab script-file probl1.m to execute the requested commands (as much as possible) in the...
Write a Matlab script-file probl1.m to execute the requested
commands (as much as possible) in the exercises below. Increase N a
number of times according to N = 4, 8, 16, 32, 64, 128, . . . (1)
Determine for each N the (exact) error. (2) Determine for N ≥ 16
also the convergence ratio q(h/2).
This script should be based on a function-file trap.m
(trapezoidal integration) as follows:
function [totarea] = trap(N)
format long;
a = 0; b =...
7. Finding Roots Using the Bisection Method Write a function that implements the "bisection method" for...
7. Finding Roots Using the Bisection Method
Write a function that implements the "bisection method" for
finding the roots of function. The signature of your function
should look like
def find_root(f,a,b,n):
where n is the maximum number of iterations of to search for the
root.
The code should follow this algorithm:
We are given a continuous function f and numbers a and b and
with a<b with f(a)<0<f(b). From the intermediate value
theorem we know that there exists a c...
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