Question

MATLAB ONLY!! PLEASE WRITE IN COMPUTER SO I CAN COPY PASTE!!! ANSWER COMPLETELY, USE FOR LOOPS.

You will use programming as a great tool to solve academic problems more efficiently. Select the example of the program of this module that looks for the approximation of e^x using the Taylor series and modified it to do: • The program calculates the actual value with the Matlab exp(x) command. • Change the while cycle for a for-loop command from 1 to imax iteration. • declare an imax variable equal to 100 to assign the maximum iteration. • Add before the for loop a line with: real = exp (x); • Assign the value of 0.0001 to a tolerance variable. If you want to challenge yourself, create a menu to select the tolerance value with different values. • Add within the loop algorithm and if abs (e_taylor - real) <= tolerance, then break

THE PROGRAM TO BE MODIFIED IS THE NEXT ONE:

clc

clear

% Approximate the value of e ^ x using the Taylor Series

x = input( 'Enter the value of x for e^x. x = ' );

t = input( 'Enter the amount of desired terms. t = ' );

i = 1;

e_taylor = 0; % initializing the variable for the accumulator

while i <= t

e_taylor = e_taylor + x^(i-1)/factorial(i - 1);

i = i + 1;   % change the value of variable i

end

real_value = exp(x);

disp( 'Real Value' )

disp(real_value)

disp( 'Approximated value with Taylor series' )

disp(e_taylor)

disp( 'amount of iterations' )

disp(i)

disp( 'real error' )

E = abs(e_taylor - real_value);

disp(E)

Answer 1

x = input( 'Enter the value of x for e^x. x = ' );
imax =100; %imax variable =100
e_taylor = 0; % initializing the variable for the accumulator
real_value=exp(x); %real e^x value
tolerance=0.0001; %tolerance value

%for loop
for i=1:imax

e_taylor = e_taylor + x^(i-1)/factorial(i - 1);

if(abs(e_taylor-real_value)<=tolerance)
break
end

end

disp( 'Real Value' )

disp(real_value)

disp( 'Approximated value with Taylor series' )

disp(e_taylor)

disp( 'amount of iterations' )

disp(i)

disp( 'real error' )

E = abs(e_taylor - real_value);

disp(E)

C Computer Science questi x phpyDcl7s.png (1416×49 × 8 Octave Online Cloud ID x online matlab compiler e^x expansion - Google Lex A octave-online.net Octave Online MENU Vars break end Want to use # E # e_taylor scripts? end # i disp( 'Real Value') # imax Sign in to create and share script files. # real_value disp(real_value) # tolerance dismiss disp( 'Approximated value with Taylor series' ) # x disp(e_taylor) disp( 'amount of iterations') disp(i) disp( 'real error' ) E = abs (e_taylor - real_value); disp(E) Real Value 2.7183 Approximated value with Taylor series 2.7183 amount of iterations Activate Windows Go to PC settings to activate Windows. real error 2.7860e- 05