coeur.mw

> restart; with(plots):
 

Coeurs en √©quations 

 

> f:=sqrt(abs(x))+sqrt(1-x^2);
g:=sqrt(abs(x))-sqrt(1-x^2);
plot([f,g], x=-1..1, thickness=2);
 

 

 

`+`(`*`(`^`(abs(x), `/`(1, 2))), `*`(`^`(`+`(1, `-`(`*`(`^`(x, 2)))), `/`(1, 2))))
`+`(`*`(`^`(abs(x), `/`(1, 2))), `-`(`*`(`^`(`+`(1, `-`(`*`(`^`(x, 2)))), `/`(1, 2)))))
Plot_2d
 

>
 

> f:= 2/3* ( (x^2 + abs(x) - 6)/(x^2 + abs(x) + 2) + sqrt(36 - x^2) );
g:= 2/3 *( (x^2 + abs(x) - 6)/(x^2 + abs(x) + 2) - sqrt(36 - x^2) );
plot([f,g], x=-6..6, thickness=2);
 

 

 

`+`(`/`(`*`(`/`(2, 3), `*`(`+`(`*`(`^`(x, 2)), abs(x), `-`(6)))), `*`(`+`(`*`(`^`(x, 2)), abs(x), 2))), `*`(`/`(2, 3), `*`(`^`(`+`(36, `-`(`*`(`^`(x, 2)))), `/`(1, 2)))))
`+`(`/`(`*`(`/`(2, 3), `*`(`+`(`*`(`^`(x, 2)), abs(x), `-`(6)))), `*`(`+`(`*`(`^`(x, 2)), abs(x), 2))), `-`(`*`(`/`(2, 3), `*`(`^`(`+`(36, `-`(`*`(`^`(x, 2)))), `/`(1, 2))))))
Plot_2d
 

>
 

> f:=sqrt(1 - (abs(x)-1)^2);
g:=arccos(1 - abs(x)) - Pi;
plot([f,g], x=-2..2, thickness=2);
 

 

 

`*`(`^`(`+`(1, `-`(`*`(`^`(`+`(abs(x), `-`(1)), 2)))), `/`(1, 2)))
`+`(`-`(arccos(`+`(abs(x), `-`(1)))))
Plot_2d
 

 

> p:=1/2; q:=1/2;
f:=x^2+2*(y-p*(abs(x))^q)^2-1;
implicitplot(f,x=-1..1,y=-1..1, gridrefine=4, crossingrefine=2, resolution=2000, thickness=2);
 

 

 

 

`/`(1, 2)
`/`(1, 2)
`+`(`*`(`^`(x, 2)), `*`(2, `*`(`^`(`+`(y, `-`(`*`(`/`(1, 2), `*`(`^`(abs(x), `/`(1, 2)))))), 2))), `-`(1))
Plot_2d
 

 

> f:=(x^2+y^2-1)^3-x^2*y^3;
implicitplot(f,x=-2..2,y=-1..2, gridrefine=4, crossingrefine=2, resolution=2000, thickness=2);
 

 

`+`(`*`(`^`(`+`(`*`(`^`(x, 2)), `*`(`^`(y, 2)), `-`(1)), 3)), `-`(`*`(`^`(x, 2), `*`(`^`(y, 3)))))
Plot_2d
 

>
 

> f:=piecewise(x>0,2*x^2-2*x*y+y^2-1,2*x^2+2*x*y+y^2-1);
implicitplot(f=0,x=-2..2,y=-1..2, gridrefine=4, crossingrefine=2, resolution=2000, thickness=2);
 

 

piecewise(`<`(0, x), `+`(`*`(2, `*`(`^`(x, 2))), `-`(`*`(2, `*`(x, `*`(y)))), `*`(`^`(y, 2)), `-`(1)), `+`(`*`(2, `*`(`^`(x, 2))), `*`(2, `*`(x, `*`(y))), `*`(`^`(y, 2)), `-`(1)))
Plot_2d
 

 

> implicitplot3d((2*x^2+y^2+z^2-1)^3-x^2*z^3*0.1-y^2*z^3=0,x=-1..1,y=-1.5..1.5,z=-1..1.5, grid=[50,50,50], scaling=constrained, axes=boxed,color=red);
 

Plot