Question

MATLAB

- create MATLAB functions to convert kilometers to miles and vice versa according to the following conditions. (a) The functions created will have input of miles or kilometers and the output with converted kilometers or miles. (b) The output of the function should be a conversion table. No input for the function is needed. (1 mile = 1 609.344 meter)

- function with the following: (1) output a third-order polynomial function with the coefficients as the input variables; (2) Convert this function to function handle.

Answer 1

(a) MATLAB CODE:

function Conversion(Xmile,Xkm)
mile = 1.609344; % 1 mile = 1.609344 Km
km = 1/mile; % Kilometer to miles
Ykm = Xmile*mile; % Converting miles to Kilometers
fprintf('%d mile = %d Km\n',Xmile,Ykm)
Ymile = Xkm*km; % Converting Kilometers to miles;
fprintf('%d Km = %d mile\n',Xkm,Ymile)
end

OUTPUT:

Command Window New to MATLAB? See resources for Getting Started >>Conversion (5,7) 5 mile = 8.046720e+00 Km 7 Km = 4.349598e+00 mile

(b) MATLAB CODE:

function Conversion
Xmile = 1:10;
Xkm = 1:10;
mile = 1.609344; % 1 mile = 1.609344 Km
km = 1/mile; % Kilometer to miles
Ykm = Xmile*mile; % Converting miles to Kilometers
Ymile = Xkm*km; % Converting Kilometers to miles;
Kilometers = transpose(Xkm);
Kilometers_to_Miles = transpose(Ymile);
Miles = transpose(Xmile);
Miles_to_Kilometers = transpose(Ykm);

T = table(Kilometers,Kilometers_to_Miles,Miles,Miles_to_Kilometers);
fprintf('Conversion Table:\n')
disp(T)
end

OUTPUT:

Command Window New to MATLAB? See resources for Getting Started. >Conversion Conversion Table: Kilometers Kilometers to Miles Miles Miles to Kilometers 0.62137 1.2427 1.8641 2.4855 3.1069 3.7282 4.3496 4.971 5.5923 6.2137 1.6093 3.2187 4.828 6.4374 8.0467 9.6561 11.265 12.875 14.484 16.093 2 2 10 10

3rd Order Polynomial:

MATLAB CODE:

function Order3(a,b,c,d)
syms x % using x as a variable
p(x) = a*x^3+b*x^2+c*x+d ; % Third order polynomial
fprintf('Third order polynomial with %d,%d,%d,%d as coefficients:\n',a,b,c,d)
disp(p(x))
end

OUTPUT:

Command Window New to MATLAB? See resources for Getting Started >>Order3 (1,2,3,4) Third order polynomial with 1,2,3,4 as coefficients: