how to write equation in matlab ??

equations and corresponding graph is given in attached file and i am trying like this but unable to find second graph where is wrong,, please help

%reflection function
s = @(x) (1-0.4*(cos(x/100))).*(0<=x & x<=511);
x = linspace(0, 500);
R = s(x);
figure(1)
plot(x,R)
axis([xlim 0 1.5]) 
% intensity function
f=1/20;
x = linspace(0, 500);
I=@(x) (R(x).*sin(2*pi*f*x));
plot(x,I)
axis([xlim 0 1.5])

[Pari Bajalan]

∑3k

Answer 1

[Torsten]

I=@(x) s(x).*sin(2*pi*f*x); 
plot(x,I(x))

Best wishes

Torsten.

[ajeet verma]

how to find its derivative,,,,, dI/dx and corresponding graph

[Torsten]

syms x
f=1/20;
I(x)=(1-0.4*cos(x/100))*sin(2*pi*f*x);
dI=diff(I,x);
fundI=matlabFunction(dI);
x=linspace(0,500);
plot(x,fundI(x));

Best wishes

Torsten.

[ajeet verma]

it is not working i got some error

[Torsten]

Could you be more specific ? What is the error message ?

Best wishes

Torsten.

[ajeet verma]

??? Error using ==> sym.sym>notimplemented at 2514 Function 'subsindex' is not implemented for MuPAD symbolic objects.

Error in ==> sym.sym>sym.subsindex at 1344 notimplemented('subsindex');

[Torsten]

Does this work ?

syms x
f=1/20;
I(x)=(1-0.4*cos(x/100))*sin(2*pi*f*x);
dI=diff(I,x);
fundI=matlabFunction(dI);
y=linspace(0,500);
plot(y,fundI(y));

If not, what do you get for fundI ?

Best wishes

Torsten.

[ajeet verma]

why am i not getting color fringe pattern where am i wrong ?, please help my code is here;

%%trapezoidal color fringes (vertical)
clc;
clear all;
f1=10;                              % No. of vertical fringes
f2=0;                               % No. of horizontal fringes
m=1000;
n=1000;
a1 = zeros(m,n) ;
a2 = zeros(m,n) ;
a3 = zeros(m,n) ;
% trapezoidal fringe
imx=8;
imn=2;
T = 20;
s1= @(x) (imx+imn).*((0<=x & x<=T/6)|(x>=5*T/6 & x<=T))...
                +(imx+imn*(2-6*x/T)).*(T/6<=x & x<=T/3)...
                +(imx).*(T/3<=x & x<=2*T/3)...
                +(imx+imn*(6*x/T-4)).*(2*T/3<=x & x<=5*T/6);
s2= @(x) (imx+imn*(6*x/T)).*(0<=x & x<=T/6)...
                +(imx+imn).*(T/6<=x & x<=T/2)...
                +(imx+imn*(4-6*x/T)).*(T/2<=x & x<=2*T/3)...
                +(imx).*(2*T/3<=x & x<=T);
s3= @(x) (imx).*(0<=x & x<=T/3)...
                +(imx+imn*(6*x/T-2)).*(T/3<=x & x<=T/2)...
                +(imx+imn).*(T/2<=x & x<=5*T/6)...
                +(imx+imn*(6-6*x/T)).*(5*T/6<=x & x<=T);
x = linspace(0,20,50);            
X = repmat(x, 1000, 20);
I1 = s1(X);
I2 = s2(X);
I3 = s3(X);
% figure(1)
% subplot(131),imshow(I1,[])
% subplot(132),imshow(I2,[])
% subplot(133),imshow(I3,[])
a1=exp(1i*I1);
a2=exp(1i*I2);
a3=exp(1i*I3);

subplot(131),imshow(a1,[]),impixelinfo;
subplot(132),imshow(a2,[]),impixelinfo;
subplot(133),imshow(a3,[]),impixelinfo;

Color=zeros(m,n,3);
Color(:,:,1)=a1;
Color(:,:,2)=a2;
Color(:,:,3)=a3;
figure(2)
imshow(Color),title('vertical fringes'),impixelinfo;

[Stephen23]

See the full question here:

https://www.mathworks.com/matlabcentral/answers/352692-how-to-find-color-pattern

Answer 2

[Al Hossain]

can any one write this form in mat lab

Answer 3

[Valerie Cando]

For Sheet 1, Creating Formulas:

1. 10 (A1) + 2 (B1) = __ (C1)

2. 10 (A2) - 2 (B2) = __ (C2)

3. 10 (A3) x 2 (B3) = __ (C3)

4. 10 (A4) / 2 (B4) = __ (C4)

5. 10 (A5) ^ 2 (B5) = __ (C5)

Answer 4

[Meghan van Rooyen]

-2xsin(x^2)+cos(x^2)-((e^sqrt(x))/2sqrt(x))+3x^2-8x=0

Answer 5

[Meghan van Rooyen]

-2x^2sin(x^2)+cos(x^2)-((e^sqrt(x))/2sqrt(x))+3x^2-8x=0