hi! i m trying to create a 3-d solid volume graph using viewsolid.but when i m using viewsolid or viewsolidone its showing a error that variable is not defined.viewsolid i think is a function....can anyone help me in this matter?

clc clear all syms x y z int(int(x^2+2*(y^2),x,0,2),y,0,2) viewSolid(z,0+0*x+0*y,x^2+2*(y^2),x,0,2,y,0,2)

error: ans =

16

Undefined function or variable 'viewSolid'.

Error in MatlabDA2 (line 5) viewSolid(z,0+0*x+0*y,x^2+2*(y^2),x,0,2,y,0,2)

[SHREYAS KARTHIKEYA]

change that code as

viewSolid(z,0+0*x+0*y,x^2+2*(y^2),x,0+0*y,2+0*y,y,0+0*x,2+0*x)

now you will get the answer

it will integrate only if x and y variables are present in the integration that is only the error.

[Mohd Nabeel Khan]

You have to add a m file viewSolid.m specifically in your folder in which the current file is present.

Answer 1

[Basil C.]

Just create another file with the following code in the same directory having the name viewSolid.m

 function viewSolid(zvar, F, G, xvar, f, g, yvar, a, b)
%VIEWSOLID is a version for MATLAB of the routine on page 161
%  of "Multivariable Calculus and Mathematica" for viewing the region
%  bounded by two surfaces for the purpose of setting up triple integrals. 
%  The arguments are entered from the inside out.  
%  There are two forms of the command --- either f, g,
%  F, and G can be vectorized functions, or else they can
%  be symbolic expressions. xvar, yvar, and zvar can be
%  either symbolic variables or strings.
%  The variable xvar (x, for example) is on the 
%  OUTSIDE of the triple integral, and goes between CONSTANT limits a and b.
%  The variable yvar goes in the MIDDLE of the triple integral, and goes 
%  between limits which must be expressions in one variable [xvar].
%  The variable zvar goes in the INSIDE of the triple integral, and goes
%  between limits which must be expressions in two 
%  variables [xvar and yvar].  The lower surface is plotted in red, the
%  upper one in blue, and the "hatching" in cyan.
%
% Examples: viewSolid(z, 0, (x+y)/4, y, x/2, x, x, 1, 2)
% gives the picture on page 163 of "Multivariable Calculus and Mathematica"  
% and the picture on page 164 of "Multivariable Calculus and Mathematica"
% can be produced by
%     viewSolid(z, x^2+3*y^2, 4-y^2, y, -sqrt(4-x^2)/2, sqrt(4-x^2)/2, ...
%               x, -2, 2,)
% One can also type viewSolid('z', @(x,y) 0, ...
% @(x,y)(x+y)/4, 'y', @(x) x/2, @(x) x, 'x', 1, 2)
%
 if isa(f, 'sym') % case of symbolic input
    ffun=inline(vectorize(f+0*yvar),char(yvar));
    gfun=inline(vectorize(g+0*yvar),char(yvar));
    Ffun=inline(vectorize(F+0*xvar),char(xvar),char(yvar));
    Gfun=inline(vectorize(G+0*xvar),char(xvar),char(yvar));
    oldviewSolid(char(yvar),double(a), double(b), ...
       char(xvar), ffun, gfun, char(zvar), Ffun, Gfun)
else 
   oldviewSolid(char(yvar),double(a),double(b),char(xvar), f, g, char(zvar), F, G)
end
%%%%%%%subfunction goes here %%%%%%
function oldviewSolid(yvar,a , b, xvar, f, g, zvar, F, G)
for counter=0:30
  yy= a + (counter/30)*(b-a);
  XX = f(yy)*ones(1, 31)+((g(yy)-f(yy))/30)*(0:30);
  YY = yy*ones(1, 31);
%%The next lines inserted to make bounding curves thicker.
  widthpar=0.5;
  if counter==0, widthpar=2; end
  if counter==20, widthpar=2; end
%%Plot curves of constant x on surface patches.
 plot3(YY,XX, F(XX, YY).*ones(1,31), 'r', 'LineWidth', widthpar);
 hold on
 plot3(YY,XX, G(XX, YY).*ones(1,31), 'b', 'LineWidth', widthpar);
end;
%%Now do the same thing in the other direction.
YY = a*ones(1, 31)+((b-a)/30)*(0:30); 
%%Normalize sizes of vectors.
XX=0:2; ZZ1=0:30; ZZ2=0:30;
for counter=0:30,
%%The next lines inserted to make bounding curves thicker.
  widthpar=0.5;
  if counter==0, widthpar=2; end
  if counter==30, widthpar=2; end
    for i=1:31, 
       XX(i)=f(YY(i))+(counter/30)*(g(YY(i))-f(YY(i)));
       ZZ1(i)=F(YY(i),XX(i)); 
       ZZ2(i)=G(YY(i),XX(i)); 
    end;
  plot3(YY,XX, ZZ1, 'r', 'LineWidth',widthpar);
  plot3(YY,XX, ZZ2, 'g', 'LineWidth',widthpar);
end;
%%Now plot vertical lines.
for u = 0:0.09:1,
  for v = 0:0.09:1,
   y=a + (b-a)*u; x = f(a + (b-a)*u) +(g(a + (b-a)*u)-f(a + (b-a)*u))*v;
   plot3([y, y], [x, x], [F(x,y), G(x, y)], 'c');
  end;
end;
xlabel(xvar)
ylabel(yvar)
zlabel(zvar)
hold off

[Rahul V]

can i get the function definition for viewsolidone

[Mohd Nabeel Khan]

Here u go

Answer 2

[Walter Roberson]

https://www.mathworks.com/matlabcentral/answers/364068-viewsolid-m-and-viewsolidone-m-where-to-get#answer_288856

Answer 3

[SHREYAS KARTHIKEYA]

viewSolid(z,0+0*x+0*y,x^2+2*(y^2),x,0+0*y,2+0*y,y,0+0*x,2+0*x)

Answer 4

[Tanmay]

function viewSolidone(zvar, F, G, xvar, f, g, yvar, a, b)
%VIEWSOLID is a version for MATLAB of the routine on page 161
%  of "Multivariable Calculus and Mathematica" for viewing the region
%  bounded by two surfaces for the purpose of setting up triple integrals. 
%  The arguments are entered from the inside out.  
%  There are two forms of the command --- either f, g,
%  F, and G can be vectorized functions, or else they can
%  be symbolic expressions. xvar, yvar, and zvar can be
%  either symbolic variables or strings.
%  The variable xvar (x, for example) is on the 
%  OUTSIDE of the triple integral, and goes between CONSTANT limits a and b.
%  The variable yvar goes in the MIDDLE of the triple integral, and goes 
%  between limits which must be expressions in one variable [xvar].
%  The variable zvar goes in the INSIDE of the triple integral, and goes
%  between limits which must be expressions in two 
%  variables [xvar and yvar].  The lower surface is plotted in red, the
%  upper one in blue, and the "hatching" in cyan.
%
% Examples: viewSolid(z, 0, (x+y)/4, y, x/2, x, x, 1, 2)
% gives the picture on page 163 of "Multivariable Calculus and Mathematica"  
% and the picture on page 164 of "Multivariable Calculus and Mathematica"
% can be produced by
%     viewSolid(z, x^2+3*y^2, 4-y^2, y, -sqrt(4-x^2)/2, sqrt(4-x^2)/2, ...
%               x, -2, 2,)
% One can also type viewSolid('z', @(x,y) 0, ...
% @(x,y)(x+y)/4, 'y', @(x) x/2, @(x) x, 'x', 1, 2)
%

if isa(f, 'sym') % case of symbolic input
    ffun=inline(vectorize(f+0*yvar),char(yvar));
    gfun=inline(vectorize(g+0*yvar),char(yvar));
    Ffun=inline(vectorize(F+0*xvar),char(xvar),char(yvar));
    Gfun=inline(vectorize(G+0*xvar),char(xvar),char(yvar));
    oldviewSolid(char(yvar),double(a), double(b), ...
        char(xvar), ffun, gfun, char(zvar), Ffun, Gfun)
else 
    oldviewSolid(char(yvar),double(a),double(b),char(xvar), f, g, char(zvar), F, G)
end
%%%%%%% subfunction goes here %%%%%%
function oldviewSolid(yvar,a , b, xvar, f, g, zvar, F, G)
for counter=0:30
    yy= a + (counter/30)*(b-a);
    XX = f(yy)*ones(1, 31)+((g(yy)-f(yy))/30)*(0:30);
    YY = yy*ones(1, 31);
    %% The next lines inserted to make bounding curves thicker.
    widthpar=0.5;
    if counter==0, widthpar=2; end
    if counter==20, widthpar=2; end
    %% Plot curves of constant x on surface patches.
    plot3(YY,XX, F(XX, YY).*ones(1,31), 'r', 'LineWidth', widthpar);
    hold on
    plot3(YY,XX, G(XX, YY).*ones(1,31), 'b', 'LineWidth', widthpar);
end;
%% Now do the same thing in the other direction.
YY = a*ones(1, 31)+((b-a)/30)*(0:30); 
%% Normalize sizes of vectors.
XX=0:2; ZZ1=0:30; ZZ2=0:30;
for counter=0:30,
    %% The next lines inserted to make bounding curves thicker.
    widthpar=0.5;
    if counter==0, widthpar=2; end
    if counter==30, widthpar=2; end
    for i=1:31, 
        XX(i)=f(YY(i))+(counter/30)*(g(YY(i))-f(YY(i)));
        ZZ1(i)=F(YY(i),XX(i)); 
        ZZ2(i)=G(YY(i),XX(i)); 
    end;
    plot3(YY,XX, ZZ1, 'r', 'LineWidth',widthpar);
    plot3(YY,XX, ZZ2, 'g', 'LineWidth',widthpar);
end;
%% Now plot vertical lines.
for u = 0:0.09:1,
    for v = 0:0.09:1,
        y=a + (b-a)*u; x = f(a + (b-a)*u) +(g(a + (b-a)*u)-f(a + (b-a)*u))*v;
        plot3([y, y], [x, x], [F(x,y), G(x, y)], 'c');
    end;
end;
xlabel(xvar)
ylabel(yvar)
zlabel(zvar)
hold off

Answer 5

[deepak]

Unrecognized function or variable 'viewSoliddone'.

[Walter Roberson]

@deepak

You used

viewSoliddone

instead of

viewSolidone

Note that viewSolidone is not part of MATLAB; https://www.mathworks.com/matlabcentral/answers/421255-hi-i-m-trying-to-create-a-3-d-solid-volume-graph-using-viewsolid-but-when-i-m-using-viewsolid-or-vi#answer_1123507