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acos-plot2d-sin
plot2d(sin(acos(x)),[x,0,1]);

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

Calculate

acos-sqrt

peu(x1,y1,z1,x2,y2,z2...

Puv:peu(2,1,-1,-1,4,2);

Pvw:peu(-1,4,2,2,-1,3);

Calculate

acos-float-linsolve-sqrt

pe(x1,y1,z1,x2,y2,z2)...

modulo(x,y,z):=sqrt(p...

peuv:pe(x,3,6,3,y,4);

Calculate

acos-float-matrix-sqrt

u:matrix([-2.66292261...

E:matrix([-1,0,0]);

float(u.E);

Calculate

acos-draw-load-pi-sqrt

load(draw);

u:[-3,3,0];

v:[-3,0,3];

Calculate

acos-sqrt

pe(x1,y1,z1,x2,y2,z2)...

Puv:pe(2,1,-1,-1,4,2);

Pvw:pe(-1,4,2,2,-1,3);

Calculate

acos-diff-sqrt

w:sqrt(x*x+y*y);

diff(acos(x/w));

Calculate

acos-cos-plot2d-rhs-sin-solve
plot2d([eq3,eq6,eq9,eq12]/%pi,[omega,0,6],[y,0,1]);

c1: 3157;

c2: 2045;

rho1: 2770;

Calculate

acos-sqrt

peu(x1,y1,z1,x2,y2,z2...

modulo(x,y,z):=sqrt(p...

P1=[3,-1,2].[4,0,3];

Calculate

acos-diff-sqrt

M=alpha_c1-acos((C1+C...

diff(M,N);

Calculate

acos

Run Example
(%i1)a:1;
(%o1)                                  1
(%i2) b:sqrt(2);
(%o2)                               sqrt(2)
(%i3) diff(asin(x),x) ;
                                      1
(%o3)                            ------------
                                           2
                                 sqrt(1 - x )
(%i4) diff(acos(x),x) ;
                                       1
(%o4)                           - ------------
                                            2
                                  sqrt(1 - x )
(%i5) diff(atan(x),x) ;
                                      1
(%o5)                               ------
                                     2
                                    x  + 1
(%i6) c:diff(asin(x)+acos(x),x);
(%o6)                                  0
(%i7) taylor(cos(x),x,0,5) ;
                                   2    4
                                  x    x
(%o7)/T/                      1 - -- + -- + . . .
                                  2    24
(%i8) taylor(log(1+x)/sin(x),x,0,5) ;
                            2    3       4        5
                       x   x    x    11 x    157 x
(%o8)/T/           1 - - + -- - -- + ----- - ------ + . . .
                       2   2    3     40      720
(%i9) taylor(atanh(x),x,0,4) ;
                                     3
                                    x
(%o9)/T/                        x + -- + . . .
                                    3
(%i10) limit((1+(1/n))^n,n,inf);
(%o10)                                %e
(%i11) 
Run Example
u : exp((x^2 - 1)/2);
                                      2
                                     x  - 1
                                     ------
                                       2
(%o1)                              %e
(%i2) a : -1;
(%o2)                                 - 1
(%i3) 		b : 1;
(%o3)                                  1
(%i4) N : 30;
(%o4)                                 30
(%i5) 	w : 1 / sqrt(1 - x * x);
                                      1
(%o5)                            ------------
                                           2
                                 sqrt(1 - x )
(%i6) quad_qaws(u * cos(30 * acos(x)) * 2 / %pi, x, a, b, -1/2, -1/2, 1, epsabs=1d-12, limit=1000);
(%o6)     [- 1.4556498367790383E-15, 2.6774316844590494E-13, 870, 0]
(%i7) 
Run Example
peu(x1,y1,z1,x2,y2,z2):=x1*x2+y1*y2+z1*z2;
(%o1)        peu(x1, y1, z1, x2, y2, z2) := x1 x2 + y1 y2 + z1 z2
(%i2) modulo(x,y,z):=sqrt(peu(x,y,z,x,y,z));
(%o2)           modulo(x, y, z) := sqrt(peu(x, y, z, x, y, z))
(%i3) mo1:modulo(2,1,0);
(%o3)                               sqrt(5)
(%i4) mo2:modulo(3,-1,2);
(%o4)                              sqrt(14)
(%i5) mo3:modulo(4,0,3);
(%o5)                                  5
(%i6) P1:[3,-1,2].[4,0,3];
(%o6)                                 18
(%i7) 	P2:peu(3,-1,2,3,-1,2);
(%o7)                                 14
(%i8) P3:peu(4,0,3,4,0,3);
(%o8)                                 25
(%i9) P4:mo2*mo3;
(%o9)                             5 sqrt(14)
(%i10) P1/P4;
                                      18
(%o10)                            ----------
                                  5 sqrt(14)
(%i11) acos(P1/P4);
                                        18
(%o11)                         acos(----------)
                                    5 sqrt(14)
(%i12) 

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