일반수학및실습2-13.2절

2167 days 전, jhlee2chn 작성

예.

var('x, y') f(x, y)=1/16*(64-8*x+y^2) integral(integral(f, x, 0, 4), y, 0, 8) 
       
416/3
416/3

예.

var('x, y') f(x, y)=4-x^2-y integral(integral(f, x, 0, 1), y, 0, 2) 
       
16/3
16/3

예제 2.

var('x, y') f(x, y)=4*x+10*y integral(integral(f, y, x, x^2), x, 1, 2) 
       
25
25

예제 4.

var('x, y') plot3d(3-3/4*x-3/2*y, (x, 0, 4), (y, 0, 2), opacity=0.6)+plot3d(0, (x, 0, 4), (y, 0, 2), color='green', opacity=0.6) 
       
Sleeping...
If no image appears re-execute the cell. 3-D viewer has been updated.
integral(integral(3-3/4*x-3/2*y, y, 0, 2-x/2), x, 0, 4) 
       
4
4

예.

var('x, y, z') p1=plot3d(x^2+y^2, (x, 0, 2), (y, 0, 2), opacity=0.6) p2=implicit_plot3d(x^2+y^2==4, (x, 0, 2), (y, 0, 2), (z, 0, 4), color='green', opacity=0.6) p3=plot3d(0, (x, 0, 2), (y, 0, 2), opacity=0.6, color='orange') p1+p2+p3 
       
Sleeping...
If no image appears re-execute the cell. 3-D viewer has been updated.