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acos-sqrt

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

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

P1(x):=[3,-1,2].[4,0...

Calculate

acos-beta-cos-min-plot2d-sin-sqrt-tan
plot2d([beta(theta),beta_2(theta),beta_3(theta)],[theta,0,2*%pi]);

r: 100;

beta(theta) := min(%p...

d1(theta) := r/sin(be...

Calculate

acos-float-sqrt

a:4460;

b:4270;

c:1450;

Calculate

acos-load-pi-sqrt

load(vect);

q:3.20E-19;

v:[2,3,-1];

Calculate

acos-atan2-beta-cos-float-gamma-matrix-sin

deg_to_rad(d) := %pi*...

rad_to_deg(r):= r*180...

alpha : deg_to_rad(45);

Calculate

acos-sqrt

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

Puv:pe(2,1,0,3,-1,2);

Pvw:pe(3,-1,2,4,0,3);

Calculate

acos-ev-numer

n:3;

PI:ev(2*acos(0),numer);

ev((3^n+2*(1+2*cos(PI...

Calculate

acos-sqrt

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

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

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

Calculate

acos-draw-load-sqrt

load(draw);

u:[2,-6];

v:[-1,3];

Calculate

acos

Run Example
(%i1)c:1.541;
(%o1)                                1.541
(%i2) a:2;
(%o2)                                  2
(%i3) b:32;
(%o3)                                 32
(%i4) c/((acos(-1.)*b/180)*cos(acos(-1)/360));
                                   8.668125
(%o4)                            ------------
                                         %pi
                                 %pi cos(---)
                                         360
(%i5) 
Run Example
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) 

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