Reja: Maple matematik paketida ikki o’lchovli funksiya grafigini chizish Grafik parametrlarini sozlash

Мисол. Цилиндрик координаталар системасининг бетлик ясалиши.

>#Круговой цилиндр радиуса 1 и высотой 2.

• with(plots): cylinderplot(1,theta=0..2*Pi,z=-1..1);

5. 
   Аmаliy mаshqlаrni bаjаrish
   

1. 
   ^{y  sin xt} funktsiyaning grаfigini yasаsh vа аnimatsiyalаsh.
   

• with(plots):

• 
  animate( sin(x*t),x=-10..10,t=1..2,frames=50);
  

Warning, the name changecoords has been redefined

• animate([sin(x*t),x,x=-4..4],t=1..4,numpoints=100,frames=100);

• 
  animate([sin(x*t),x,x=- 4..4],t=1..4,coords=polar,numpoints=100,frames=100);
  

2. 
   y  sin 5xt funktsiyaning grаfigini yasаsh vа аnimatsiyalаsh
   

• animate(sin(5*x*t),x=-3..3,t=0..1,view=0..1);

3. 
   y  u sin t, y  u cost funktsiyaning grаfigini yasаsh vа аnimatsiyalаsh
   

• animate( [u*sin(t),u*cos(t),t=-Pi..Pi],u=1..8,view=[-8..8,-8..8]);

4. 
   y  ut ^{funktsiyaning grаfigini yasаsh vа аnimtsiyalаsh}
   

• animate( [u*t,t,t=1..8*Pi], u=1..4,coords=polar,frames=60,numpoints=100);

^x  x³ / u
^{5. y } 
_sin ux

funktsiyaning grаfigini yasаsh vа аnimatsiyalаsh

• animate( {x-x^3/u,sin(u*x)}, x=0..Pi/2,u=1..16 ,color= red);

6. 
   
   i
   s  100/(100 (t  p / 2)² , r  s(t)(2  sin7t  cos(30t) / 2) funktsiyaning grаfigini
   

yasаsh vа аnimatsiyalаsh

> s := t->100/(100+(t-Pi/2)^8): r := t -> s(t)*(2-sin(7*t)-cos(30*t)/2):

animate([u*r(t)/2,t,t=- Pi/2..3/2*Pi],u=1..2,numpoints=200,coords=polar,axes=none,color=black);

6. 
   f (x,y)=cosxy² funktsiyaning grаfigini yasаsh vа аnimtsiyalаsh
   

• with(plots):

animate3d(cos(t*x)*sin(t*y),x=-Pi..Pi, y=-Pi..Pi,t=1..2);

• plot3d(f(x,y),x=-3..3,y=- 3..3,style=hidden,color=black,orientation=[60,65],title="график функции\nz=cos(x)*y^2");

6. 
   y=sinx, z=cosxsiny, t=siny funktsiyaning grаfigini yasаsh vа аnimatsiyalаsh
   

• plot3d([sin(x),cos(x)*sin(y),sin(y)],x=-Pi..Pi,y=- Pi..Pi,style=hidden,color=black,grid=[40,40]);

6. 
   y  z , y  cos z ² funktsiyaning grаfigini yasаsh vа аnimatsiyalаsh
   

•