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Related

cosh-plot2d
plot2d([1039.23*cosh(x/1039.23),1.732*x-100 ],[x,0,1000]);

plot2d([1039.23*cosh(...

Calculate

cosh-sinh-tanh

sinh(0);

cosh(%pi/2);

tanh(0);

Calculate

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

k:1.8;

f:0.299;

Hy:0.7;

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-10*%pi,10*%pi], [v,0*%pi,1.95*%pi], [grid,300,300],[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-sin-sinh-taylor

taylor(sin(1-cosh(x))...

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-0.9*%pi,1*%pi], [v,0*%pi,1.95*%pi], [grid,50,20],[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-limit

limit(cosh(x), x, 0, ...

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,0,2*%pi], [v,0,2*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);

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

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

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

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-1*%pi,1*%pi], [v,0.5*%pi,1.97*%pi], [grid,50,20],[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-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,-4*%pi,4*%pi], [v,0*%pi,1.9*%pi], [grid,50,20],[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)makelist (cosh(k*0.01)-(sinh(k*0.01)/((cosh(k*0.01)^2+sinh(k*0.01)^2)^(1/2)))*first(quad_gags((cosh(s)^2+sinh(s)^2)^(1/2),s,0,k*0.01)),k,1,100);
                                                       2          2
(%o1) [1.000050000416668 - 0.0099991667674863 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.000200006666756 - 0.019993336558263 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.000450033751013 - 0.029977524472835 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.000800106672356 - 0.039946769697986 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.001250260438369 - 0.049896147380201 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.001800540064804 - 0.059820780297379 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.002451000580082 - 0.069715850264762 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.003201707030797 - 0.079576609213687 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.004052734488219 - 0.089398389885005 sqrt(sinh (s) + cosh (s)), 
                                               2          2
1.005004168055804 - 0.099176616082811 sqrt(sinh (s) + cosh (s)), 
                                            2          2
1.0060561028777 - 0.10890681243836 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.007208644148267 - 0.11858461363877 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.008461907122592 - 0.12820577308002 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.009816017128017 - 0.13776617090925 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.01127110957667 - 0.14726182142659 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.012827329979011 - 0.15668887982258 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.014484833958375 - 0.16604364823284 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.016243787266541 - 0.17532258109716 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.018104365800307 - 0.18452228981599 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.020066755619076 - 0.19363954670243 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.022131152963465 - 0.20267128823318 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.02429776427493 - 0.21161461760678 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.026566806216406 - 0.22046680662206 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.028938505693979 - 0.22922529689402 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.031413099879573 - 0.23788770042809 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.033990836234669 - 0.24645179957755 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.03667197253505 - 0.25491554641151 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.039456776896581 - 0.26327706152384 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.042345527802019 - 0.27153463231539 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.045338514128861 - 0.27968671078386 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.048436035178234 - 0.28773191085689 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.051638400704824 - 0.29566900530478 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.054945930947853 - 0.30349692227029 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.058358956663102 - 0.31121474145261 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.061877819155985 - 0.31882168998292 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.065502870315686 - 0.32631713802827 sqrt(sinh (s) + cosh (s)), 
                                            2          2
1.06923447265034 - 0.3337005941601 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.07307299932329 - 0.34097170052232 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.077018834190404 - 0.34813022783333 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.081072371838455 - 0.3551760702543 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.085234017624587 - 0.36210924015528 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.089504187716845 - 0.36892986280836 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.093883309135799 - 0.37563817103594 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.098371819797239 - 0.38223449984004 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.102970168555971 - 0.38871928103689 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.107678815250704 - 0.39509303791898 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.112498230750031 - 0.4013563799652 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.117428896999517 - 0.40750999761736 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.122471307069898 - 0.41355465714007 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.127625965206381 - 0.41949119557871 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.132893386879076 - 0.42532051582871 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.13827409883454 - 0.43104358182767 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.143768639148453 - 0.43666141388021 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.149377557279424 - 0.44217508412387 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.155101414123941 - 0.44758571214305 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.160940782072458 - 0.45289446073657 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.166896245066636 - 0.45810253184311 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.172968398657738 - 0.46321116262783 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.179157850066182 - 0.46822162173206 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.185465218242268 - 0.47313520568744 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.191891133928069 - 0.47795323549438 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.198436239720508 - 0.48267705336456 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.20510119013562 - 0.48730801962592 sqrt(sinh (s) + cosh (s)), 
                                           2          2
1.211886651674 - 0.49184750978832 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.218793302887456 - 0.49629691176724 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.225821834446865 - 0.5006576232625 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.232972949211241 - 0.50493104928861 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.240247362298019 - 0.5091185998528 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.247645801154569 - 0.51322168777675 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.255169005630943 - 0.51724172665738 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.262817728053858 - 0.52118012896249 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.27059273330193 - 0.52503830425606 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.278494798882162 - 0.52881765754876 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.286524715007699 - 0.53251958776843 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.294683284676845 - 0.53614548634569 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.302971323753364 - 0.53969673590974 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.311389661048072 - 0.54317470908921 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.319939138401712 - 0.54658076741329 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.328620610769146 - 0.54991626030819 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.337434946304845 - 0.55318252418416 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.346383026449706 - 0.55638088160831 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.355465746019203 - 0.55951264055881 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.364684013292859 - 0.56257909375572 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.374038750105086 - 0.56558151806447 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.383530891937359 - 0.56852117396742 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.393161388011772 - 0.57139930509971 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.402931201385958 - 0.5742171378453 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.412841309049396 - 0.57697588098962 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.42289270202111 - 0.57967672542497 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.433086385448775 - 0.58232084390541 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.443423378709226 - 0.58490939084772 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.453904715510406 - 0.5874435021753 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.464531443994728 - 0.58992429520193 sqrt(sinh (s) + cosh (s)), 
                                             2          2
1.475304626843896 - 0.5923528685526 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.486225341385174 - 0.59473030211863 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.497294679699115 - 0.59705765704449 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.508513748728776 - 0.59933597574382 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.519883670390408 - 0.60156628194249 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.531405581685654 - 0.60374958074623 sqrt(sinh (s) + cosh (s)), 
                                              2          2
1.543080634815244 - 0.60588685873103 sqrt(sinh (s) + cosh (s))]
(%i2) 
Run Example
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]);

Related Help

Help for Cosh