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cosh-float-integrate-sin-sinh

phikn(y,k):=cosh(k*y)...

diffphikn(y,k) :=''di...

k:1.875;

Calculate

cosh-sin

sin(x)*sin(x) - (1 - ...

Calculate

cosh-sin-sinh

phikn(y,k):=cosh(k*y)...

diffphikn(y,k) =''dif...

Calculate

cosh-sin-sinh-taylor

taylor(cosh(sin(x))-c...

Calculate

cosh-exp-residue

residue (exp(s/2)/cos...

Calculate

cosh-plot3d-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-0,0.5], [v,-0.5,0.5], [grid,50,20]);

x(u,v):=sinh(u)*sinh(v);

y(u,v):=sinh(u)*cosh(v);

z(u,v):=sinh(u);

Calculate

cosh-solve

eq1:cosh(y)=0;

solve([eq1],[y]);

Calculate

cosh-plot3d-sin
plot3d(f(u,v), [u,-100,100], [v,-100,100]);

f(u,v) := [cosh(u)*co...

plot3d(f(u,v), [u,-10...

Calculate

cosh-plot2d
plot2d(Hy-Zk*(cosh(x*k)^2/cosh(k*f)^2),[x,-1,1],[y,-1,1]);

k:1.5;

f:0.38;

Hy:0.8;

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-2*%pi,2*%pi], [v,0*%pi,1.95*%pi], [grid,200,20],[palette,get_plot_option(palette,3)]);

x(u,v):=1/cosh(u)*cos...

y(u,v):=1/cosh(u)*sin...

z(u,v):=1/cosh(u)*sin...

Calculate

cosh

Run Example
(%i1)k:1.8;
(%o1)                                 1.8
(%i2)  f:0.299;
(%o2)                                0.299
(%i3) Hy:0.7;
(%o3)                                 0.7
(%i4)  Hk:0.2;
(%o4)                                 0.2
(%i5) Zk:Hy-Hk;
(%o5)                                 0.5
(%i6) plot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,001],[y,0,001]);
plotplot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,001],[y,0,001]);
Run Example
x(u,v):=cos(u)*sinh(v);
(%o1)                      x(u, v) := cos(u) sinh(v)
(%i2) y(u,v):=sin(u)*sinh(v);
(%o2)                      y(u, v) := sin(u) sinh(v)
(%i3) z(u,v):=cosh(v);
(%o3)                         z(u, v) := cosh(v)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-50,50], [v,-50,50], [grid,50,20]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-50,50], [v,-50,50], [grid,50,20]);
Run Example
x(u,v):=sinh(u)*sinh(v);
(%o1)                     x(u, v) := sinh(u) sinh(v)
(%i2) y(u,v):=sinh(u)*cosh(v);
(%o2)                     y(u, v) := sinh(u) cosh(v)
(%i3) z(u,v):=sinh(u);
(%o3)                         z(u, v) := sinh(u)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);

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Help for Cosh