Mathc initiation/Fichiers h : c59ad

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Installer et compiler ces fichiers dans votre répertoire de travail.

	c00a.c

/* ---------------------------------- */
/* save as c00a.c                     */
/* ---------------------------------- */
#include "x_hfile.h"
#include      "fa.h"
/* ---------------------------------- */
int main(void)
{
 clrscrn();
 
 printf(" f : (x,y)-> %s\n\n", feq);
 printf(" v :   (y)-> %s  \n", veq);
 printf(" u :   (y)-> %s\n\n", ueq);
 printf(" b =    %+.1f\n a =    %+.1f\n\n\n",by,ay);


 printf(" Find the surface area for the given functions\n");
 printf(" with the simpson's rule.\n\n\n");
 printf("    (b     (v(y)\n");
 printf(" int(   int(     sqrt(f_x()**2 + f_y()**2 + 1)  dxdy = %.3f\n", 
                                S_dxdy(f, u,v,LOOP, ay,by,LOOP));
 printf("    (a     (u(y)\n\n\n");

 printf("\n\n Press return to continue.\n");
 getchar();

 return 0;
}
/* ---------------------------------- */
/* ---------------------------------- */

Exemple de sortie écran :

 f : (x,y)-> 3.*x + y**2

 u :   (y)-> 0  
 v :   (y)-> y

 a = +0.0   b = +1.0 



 Find the surface area for the given functions
 with the simpson's rule.


    (b     (v(y)
 int(   int(     sqrt(f_x()**2 + f_y()**2 + 1)  dxdy = 1.730
    (a     (u(y)




 Press return to continue.

Exemple de sortie écran :

Verify with maple

 restart:
 
 f := (x,y)->3*x+y^2:
 Int(
 Int(
 
 sqrt( diff(f(x,y),x)^2 + diff(f(x,y),y)^2 + 1),
 
 x = 0 .. y),
 y = 0 .. 1);

                      1    y
                     /    /
                    |    |                2
                    |    |   sqrt(10 + 4 y ) dx dy
                    |    |
                   /    /
                     0    0

 evalf(value(%));
 

                             1.730035569

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