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 script that uses the function below to find root brackets for ?(?) = cos(ex)...
Write a script that uses the function below to find root
brackets for ?(?) = cos(ex) + sin(?), between ? = 0 ???
? = ? with ns=100. Plot the output by first plotting the function
and then plotting ‘*’ at each bracket point (on the x-axis). You
may either give the plot() function two sets of inputs, or you can
use hold on ... hold off to add plots to your figure.
function xb = incsearchv(func,xmin,xmax,ns)
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).
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 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).
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...
Using the bisection method, find the root of the following function: f(x)=cos(2x) - x Use the...
Using the bisection method, find the root of the following
function:
f(x)=cos(2x) - x
Use the following initial values: xl=0 and xu=2
NOTE: Perform only 3 iterations.
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,...
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