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parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

plot2d([sin(x),x*sin(...

Calculate

parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t)]], [t, 0, 10],[x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

Calculate

parametric-pi-sin

parametric(sin(3*t),s...

Calculate

parametric

? parametric;

Calculate

parametric

parametric(t^2+t,t^2-...

Calculate

parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

Calculate

parametric-pi-sin

parametric(sin(3*t),s...

Calculate

parametric

? parametric;

Calculate

parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

plot2d([sin(x),x*sin(...

Calculate

parametric-pi-sin

parametric(sin(3*t),s...

Calculate

parametric

Run Example
(%i1)r(t) := [10*cos(t),2*sin(t),t];
(%o1)                  r(t) := [10 cos(t), 2 sin(t), t]
(%i2) r(4);
(%o2)                      [10 cos(4), 2 sin(4), 4]
(%i3) float(r(4));
(%o3)           [- 6.536436208636119, - 1.513604990615856, 4.0]
(%i4) load(draw);
(%o4)            /usr/share/maxima/5.21.1/share/draw/draw.lisp
(%i5) draw3d(color=magenta,parametric(-cos(t), sin(t),cos(t), t,-4, 4));
plotdraw3d(color=magenta,parametric(-cos(t), sin(t),cos(t), t,-4, 4));define(rp(t), diff(r(t), t));
(%o6)                 rp(t) := [- 10 sin(t), 2 cos(t), 1]
(%i7) float(rp(1));
(%o7)            [- 8.414709848078966, 1.08060461173628, 1.0]
(%i8) load(eigen);
(%o8)           /usr/share/maxima/5.21.1/share/matrix/eigen.mac
(%i9) uvect(rp(t));
                     10 sin(t)                          2 cos(t)
(%o9) [- ---------------------------------, ---------------------------------, 
                     2           2                      2           2
         sqrt(100 sin (t) + 4 cos (t) + 1)  sqrt(100 sin (t) + 4 cos (t) + 1)
                                                             1
                                             ---------------------------------]
                                                         2           2
                                             sqrt(100 sin (t) + 4 cos (t) + 1)
(%i10) trigsimp(rp(t));
(%o10)                    [- 10 sin(t), 2 cos(t), 1]
(%i11) define(T(t), trigsimp(rp(t)));
(%o11)                T(t) := [- 10 sin(t), 2 cos(t), 1]
(%i12) define(Tp(t), diff(T(t), t));
(%o12)               Tp(t) := [- 10 cos(t), - 2 sin(t), 0]
(%i13) uvect(Tp(t));
                    10 cos(t)                        2 sin(t)
(%o13) [- -----------------------------, - -----------------------------, 0]
                    2             2                  2             2
          sqrt(4 sin (t) + 100 cos (t))    sqrt(4 sin (t) + 100 cos (t))
(%i14) trigsimp(uvect(Tp(t)));
                      10 cos(t)                2 sin(t)
(%o14)        [- --------------------, - --------------------, 0]
                            2                       2
                 sqrt(96 cos (t) + 4)    sqrt(96 cos (t) + 4)
(%i15) 
Run Example
r(t) := [10*cos(t),2*sin(t),t];
(%o1)                  r(t) := [10 cos(t), 2 sin(t), t]
(%i2) r(4);
(%o2)                      [10 cos(4), 2 sin(4), 4]
(%i3) float(r(4));
(%o3)           [- 6.536436208636119, - 1.513604990615856, 4.0]
(%i4) load(draw);
(%o4)            /usr/share/maxima/5.21.1/share/draw/draw.lisp
(%i5) draw3d(color=magenta,parametric(-cos(t), sin(t),cos(t), t,-4, 4));
plotdraw3d(color=magenta,parametric(-cos(t), sin(t),cos(t), t,-4, 4));define(rp(t), diff(r(t), t));
(%o6)                 rp(t) := [- 10 sin(t), 2 cos(t), 1]
(%i7) float(rp(1));
(%o7)            [- 8.414709848078966, 1.08060461173628, 1.0]
(%i8) load(eigen);
(%o8)           /usr/share/maxima/5.21.1/share/matrix/eigen.mac
(%i9) uvect(rp(t));
                     10 sin(t)                          2 cos(t)
(%o9) [- ---------------------------------, ---------------------------------, 
                     2           2                      2           2
         sqrt(100 sin (t) + 4 cos (t) + 1)  sqrt(100 sin (t) + 4 cos (t) + 1)
                                                             1
                                             ---------------------------------]
                                                         2           2
                                             sqrt(100 sin (t) + 4 cos (t) + 1)
(%i10) trigsimp(rp(t));
(%o10)                    [- 10 sin(t), 2 cos(t), 1]
(%i11) define(T(t), trigsimp(rp(t)));
(%o11)                T(t) := [- 10 sin(t), 2 cos(t), 1]
(%i12) define(Tp(t), diff(T(t), t));
(%o12)               Tp(t) := [- 10 cos(t), - 2 sin(t), 0]
(%i13) uvect(Tp(t));
                    10 cos(t)                        2 sin(t)
(%o13) [- -----------------------------, - -----------------------------, 0]
                    2             2                  2             2
          sqrt(4 sin (t) + 100 cos (t))    sqrt(4 sin (t) + 100 cos (t))
(%i14) trigsimp(uvect(Tp(t)));
                      10 cos(t)                2 sin(t)
(%o14)        [- --------------------, - --------------------, 0]
                            2                       2
                 sqrt(96 cos (t) + 4)    sqrt(96 cos (t) + 4)
(%i15) define(N(t), trigsimp(uvect(Tp(t))));
                          10 cos(t)                2 sin(t)
(%o15)    N(t) := [- --------------------, - --------------------, 0]
                                2                       2
                     sqrt(96 cos (t) + 4)    sqrt(96 cos (t) + 4)
(%i16) 
Run Example
load(draw);
(%o1)            /usr/share/maxima/5.21.1/share/draw/draw.lisp
(%i2) draw3d(head_length=0.1,key="plano 1",color="blue",implicit(x-2*y+z=0,x,0,1,y,1,2,z,0,1),key="n1",vector([0,0,0],[1,-2,1]),key="plano 2",color="red",implicit(2*x+3*y-2+z=0,x,0,1,y,0,1,z,0,1),key="n2",vector([0,0,0],[2,3,-2]),key="recta",key="black",parametric(t,4*t,7*t,t,0,1));
plotdraw3d(head_length=0.1,key="plano 1",color="blue",implicit(x-2*y+z=0,x,0,1,y,1,2,z,0,1),key="n1",vector([0,0,0],[1,-2,1]),key="plano 2",color="red",implicit(2*x+3*y-2+z=0,x,0,1,y,0,1,z,0,1),key="n2",vector([0,0,0],[2,3,-2]),key="recta",key="black",parametric(t,4*t,7*t,t,0,1));
[assume,cos,display2d,draw,draw2d,explicit,float,imagpart,integrate,load,map,parametric,realpart,showtime,sin,true] [block,draw,draw2d,load,parametric] [cos,define,diff,draw,draw3d,float,load,parametric,sin,trigsimp] [cos,diff,draw,draw3d,float,limit,load,parametric,sin] [cos,draw,draw2d,explicit,integrate,load,parametric,sin,solve,sqrt] [cos,draw,draw2d,explicit,integrate,load,parametric,sin,solve] [cos,draw,draw2d,explicit,load,parametric,pi,sin,sqrt] [cos,draw,draw2d,explicit,load,parametric,pi,sin] [cos,draw,draw2d,explicit,load,parametric,sin,sqrt] [cos,draw,draw2d,explicit,load,parametric,sin] [cos,draw,draw2d,load,parametric,pi,sin,transpose] [cos,draw,draw2d,load,parametric,pi,sin,true] [cos,draw,draw2d,load,parametric,pi,sin] [cos,draw,draw3d,exp,float,load,parametric,sin] [cos,draw,draw3d,explicit,gr2d,gr3d,load,parametric,pi,polygon,sin] [cos,draw,draw3d,float,load,parametric,sin] [cos,draw,draw3d,load,parametric,pi,plot2d,sin] [cos,draw,draw3d,load,parametric,pi,sin,true] [cos,draw,draw3d,load,parametric,pi,sin] [cos,draw,draw3d,load,parametric,sin] [cos,draw,explicit,load,parametric,phi,sin] [cos,draw,gr2d,load,parametric,pi,polygon,sin] [cos,draw,load,parametric,pi,sin] [cos,draw,makelist,parametric,sin] [cos,draw2d,load,parametric,pi,sin] [cos,draw3d,explicit,load,parametric,pi,sin,sqrt] [cos,draw3d,explicit,load,parametric,sin,sqrt] [cos,draw3d,explicit,load,parametric,sin] [cos,draw3d,load,parametric,sin] [cos,load,parametric,sin] [cos,parametric,pi,sin] [cos,parametric,sin] [cosh,diff,draw,draw2d,load,parametric,sinh] [cosh,draw,draw2d,load,matrix,parametric,sinh] [cosh,draw,draw2d,load,parametric,sinh] [diff,draw,draw2d,explicit,load,parametric,sqrt] [diff,draw,explicit,load,parametric,sqrt] [diff,draw,load,parametric,sqrt] [draw,draw2d,explicit,load,parametric] [draw,draw2d,load,parametric,sin] [draw,draw2d,load,parametric] [draw,draw3d,load,parametric,points,sqrt,true] [draw,draw3d,load,parametric,sqrt,true] [draw,draw3d,load,parametric,sqrt] [draw,draw3d,load,parametric] [draw2d,load,parametric] [draw3d,explicit,load,parametric] [draw3d,load,parametric] [parametric,plot2d,sin] [parametric]

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