Question

How do you do this on Matlab?

Question 3

Problem 3 (25) G a function f(r) coatmtous at X = 25 And the pos iive root. Manually. by hatd, conduct the Secant method using the function in prder to successfully fill in thie teble. Sliow hand caleudated solutions fil in the able, and use tlirce decimals Hegarding MATLAB, plot the function and solve for the roct using a built-in function. (t)= 0.2(r-5)-Olx+10 new old 41 1425 0319 1775 1.3 2010 2 ROEA01334 OL 12431819 3 100 1.334 o1B T e 4. Problem 4 (35) Pind the minimum of the given function f(z) using the Golden Section Search t an interval [2,3.25). Show hand calculated solutions, fill in the table, and use three decimals. Regarding MATLAB, plot the function and solve for the extremum using a built-in function. 3cos (a)- sin(z) do

Answer 1

3. MATLAB Program to solve the given problem and plot the function:

clc;clear;
f= @(x)0.2*(x-5).^3-0.01*x+10; % function definition
x(1)=1.425; % initial guess
x(2)=1.775; % initial guess
for n = 2:5 %% number of iterations
x(n+1)=x(n)-f(x(n))*(x(n)-x(n-1))/(f(x(n))-f(x(n-1)))
end
x = 1.425:0.05:1.775;
plot(x,f(x))

Output of the program:

Breakpoints Run Run and Figure X Advance EDIT RUN BREAKPOINTS File Edit View Insert Tools Desktop Window Help Editor C:Users khantwal\Desktoplsecant.m chegq.m regulafalsi.m Untitled 3.5 clc;clear; 1 f- e (x) 0.2* (x-5).^3-0.01*x+10 x (1)-1.425 initial guess 3 3 initial guess 4 x (2) 1.775; number 0f itei for n 2:5 x (n+1) x (n) -f (x (n))* (x ( 2.5 7 end x 1.425:0.05:1.775: plot (x,f (x)) 2 1.5 1 0.5 1.4 Command Window 1.45 1.5 1.55 1.6 1.65 1.7 1.75 1.8 X x 1.3027 1.4250 1.7750 1.3196 1.3176 1.3176 (x)! -

We can see that the solution converges to x = 1.3176.