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Related

plot2d-tanh
plot2d([(%e^(x)-%e^(-x))/(%e^(x)+%e^(-x)),%e^(1/x)],[x,0,1]);

plot2d([(%e^(x)-%e^(-...

plot2d([tanh(x)],[x,-...

Calculate

plot2d-rhs-solve
plot2d([f,g,[parametric,x1,t],[parametric,x2,t]],[x,-5,5],[y,-10,10],[t,-10,10]);

f:(4*x-3)/(2*x-1);

g:-x;

h:2*x-1;

Calculate

plot2d
plot2d(f,[x,-4,4],[y,-2,2]);

f: x*(sin2*x)^(1/3);

plot2d(f,[x,-4,4],[y,...

Calculate

plot2d-sin
plot2d(30*sin(x),[x,0,20]);

plot2d(30*sin(x),[x,0...

plot2d(2.5*sin(x)+2.5...

Calculate

plot2d
plot2d(f(x),[x,-10,10],[y,-20,20]);

f(x):=((((120*x*(x-1)...

plot2d(f(x),[x,-10,10...

Calculate

plot2d-sin
plot2d(sin(10*t+10*sin(t)),[t,-5,5]);

plot2d(sin(10*t+10*si...

Calculate

plot2d-sin
plot2d(1/2 - 2/%pi*(1/1*sin(1*x) + 1/3*sin(3*x) + 1/5*sin(5*x) + 1/7*sin(7*x) + 1/9*sin(9*x) + 1/11*sin(11*x) + 1/13*sin(13*x) + 1/15*sin(15*x) + 1/17*sin(17*x) + 1/19*sin(19*x) + 1/21*sin(21*x) + 1/23*sin(23*x) + 1/25*sin(25*x) + 1/27*sin(27*x) + 1/29*sin(29*x) + 1/31*sin(31*x) + 1/33*sin(33*x) + 1/35*sin(35*x) + 1/37*sin(37*x) + 1/39*sin(39*x) + 1/41*sin(41*x) + 1/43*sin(43*x) + 1/45*sin(45*x) + 1/47*sin(47*x) + 1/49*sin(49*x) + 1/51*sin(51*x) + 1/53*sin(53*x) + 1/55*sin(55*x) + 1/57*sin(57*x) + 1/59*sin(59*x) + 1/61*sin(61*x) + 1/63*sin(63*x) + 1/65*sin(65*x) + 1/67*sin(67*x) + 1/69*sin(69*x) + 1/71*sin(71*x) + 1/73*sin(73*x) + 1/75*sin(75*x) + 1/77*sin(77*x) + 1/79*sin(79*x) + 1/81*sin(81*x) + 1/83*sin(83*x) + 1/85*sin(85*x) + 1/87*sin(87*x) + 1/89*sin(89*x) + 1/91*sin(91*x) + 1/93*sin(93*x) + 1/95*sin(95*x) + 1/97*sin(97*x) + 1/99*sin(99*x) + 1/101*sin(101*x) + 1/103*sin(103*x) + 1/105*sin(105*x) + 1/107*sin(107*x) + 1/109*sin(109*x) + 1/111*sin(111*x) + 1/113*sin(113*x) + 1/115*sin(115*x) + 1/117*sin(117*x) + 1/119*sin(119*x) + 1/121*sin(121*x) + 1/123*sin(123*x) + 1/125*sin(125*x) + 1/127*sin(127*x) + 1/129*sin(129*x) + 1/131*sin(131*x) + 1/133*sin(133*x) + 1/135*sin(135*x) + 1/137*sin(137*x) + 1/139*sin(139*x) + 1/141*sin(141*x) + 1/143*sin(143*x) + 1/145*sin(145*x) + 1/147*sin(147*x) + 1/149*sin(149*x) + 1/151*sin(151*x) + 1/153*sin(153*x) + 1/155*sin(155*x) + 1/157*sin(157*x) + 1/159*sin(159*x) + 1/161*sin(161*x) + 1/163*sin(163*x) + 1/165*sin(165*x) + 1/167*sin(167*x) + 1/169*sin(169*x) + 1/171*sin(171*x) + 1/173*sin(173*x) + 1/175*sin(175*x) + 1/177*sin(177*x) + 1/179*sin(179*x) + 1/181*sin(181*x) + 1/183*sin(183*x) + 1/185*sin(185*x) + 1/187*sin(187*x) + 1/189*sin(189*x) + 1/191*sin(191*x) + 1/193*sin(193*x) + 1/195*sin(195*x) + 1/197*sin(197*x) + 1/199*sin(199*x) + 1/201*sin(201*x) + 1/203*sin(203*x) + 1/205*sin(205*x) + 1/207*sin(207*x) + 1/209*sin(209*x) + 1/211*sin(211*x) + 1/213*sin(213*x) + 1/215*sin(215*x) + 1/217*sin(217*x) + 1/219*sin(219*x) + 1/221*sin(221*x) + 1/223*sin(223*x) + 1/225*sin(225*x) + 1/227*sin(227*x) + 1/229*sin(229*x) + 1/231*sin(231*x) + 1/233*sin(233*x) + 1/235*sin(235*x) + 1/237*sin(237*x) + 1/239*sin(239*x) + 1/241*sin(241*x) + 1/243*sin(243*x) + 1/245*sin(245*x) + 1/247*sin(247*x) + 1/249*sin(249*x) + 1/251*sin(251*x) + 1/253*sin(253*x) + 1/255*sin(255*x) + 1/257*sin(257*x) + 1/259*sin(259*x) + 1/261*sin(261*x) + 1/263*sin(263*x) + 1/265*sin(265*x) + 1/267*sin(267*x) + 1/269*sin(269*x) + 1/271*sin(271*x) + 1/273*sin(273*x) + 1/275*sin(275*x) + 1/277*sin(277*x) + 1/279*sin(279*x) + 1/281*sin(281*x) + 1/283*sin(283*x) + 1/285*sin(285*x) + 1/287*sin(287*x) + 1/289*sin(289*x) + 1/291*sin(291*x) + 1/293*sin(293*x) + 1/295*sin(295*x) + 1/297*sin(297*x) + 1/299*sin(299*x) + 1/301*sin(301*x) + 1/303*sin(303*x) + 1/305*sin(305*x) + 1/307*sin(307*x) + 1/309*sin(309*x) + 1/311*sin(311*x) + 1/313*sin(313*x) + 1/315*sin(315*x) + 1/317*sin(317*x) + 1/319*sin(319*x) + 1/321*sin(321*x) + 1/323*sin(323*x) + 1/325*sin(325*x) + 1/327*sin(327*x) + 1/329*sin(329*x) + 1/331*sin(331*x) + 1/333*sin(333*x) + 1/335*sin(335*x) + 1/337*sin(337*x) + 1/339*sin(339*x) + 1/341*sin(341*x) + 1/343*sin(343*x) + 1/345*sin(345*x) + 1/347*sin(347*x) + 1/349*sin(349*x) + 1/351*sin(351*x) + 1/353*sin(353*x) + 1/355*sin(355*x) + 1/357*sin(357*x) + 1/359*sin(359*x) + 1/361*sin(361*x) + 1/363*sin(363*x) + 1/365*sin(365*x) + 1/367*sin(367*x) + 1/369*sin(369*x) + 1/371*sin(371*x) + 1/373*sin(373*x) + 1/375*sin(375*x) + 1/377*sin(377*x) + 1/379*sin(379*x) + 1/381*sin(381*x) + 1/383*sin(383*x) + 1/385*sin(385*x) + 1/387*sin(387*x) + 1/389*sin(389*x) + 1/391*sin(391*x) + 1/393*sin(393*x) + 1/395*sin(395*x) + 1/397*sin(397*x) + 1/399*sin(399*x) + 1/401*sin(401*x) + 1/403*sin(403*x) + 1/405*sin(405*x) + 1/407*sin(407*x) + 1/409*sin(409*x) + 1/411*sin(411*x) + 1/413*sin(413*x) + 1/415*sin(415*x) + 1/417*sin(417*x) + 1/419*sin(419*x) + 1/421*sin(421*x) + 1/423*sin(423*x) + 1/425*sin(425*x) + 1/427*sin(427*x) + 1/429*sin(429*x) + 1/431*sin(431*x) + 1/433*sin(433*x) + 1/435*sin(435*x) + 1/437*sin(437*x) + 1/439*sin(439*x) + 1/441*sin(441*x) + 1/443*sin(443*x) + 1/445*sin(445*x) + 1/447*sin(447*x) + 1/449*sin(449*x) + 1/451*sin(451*x) + 1/453*sin(453*x) + 1/455*sin(455*x) + 1/457*sin(457*x) + 1/459*sin(459*x) + 1/461*sin(461*x) + 1/463*sin(463*x) + 1/465*sin(465*x) + 1/467*sin(467*x) + 1/469*sin(469*x) + 1/471*sin(471*x) + 1/473*sin(473*x) + 1/475*sin(475*x) + 1/477*sin(477*x) + 1/479*sin(479*x) + 1/481*sin(481*x) + 1/483*sin(483*x) + 1/485*sin(485*x) + 1/487*sin(487*x) + 1/489*sin(489*x) + 1/491*sin(491*x) + 1/493*sin(493*x) + 1/495*sin(495*x) + 1/497*sin(497*x) + 1/499*sin(499*x) + 1/501*sin(501*x) + 1/503*sin(503*x) + 1/505*sin(505*x) + 1/507*sin(507*x) + 1/509*sin(509*x) + 1/511*sin(511*x) + 1/513*sin(513*x) + 1/515*sin(515*x) + 1/517*sin(517*x) + 1/519*sin(519*x) + 1/521*sin(521*x) + 1/523*sin(523*x) + 1/525*sin(525*x) + 1/527*sin(527*x) + 1/529*sin(529*x) + 1/531*sin(531*x) + 1/533*sin(533*x) + 1/535*sin(535*x) + 1/537*sin(537*x) + 1/539*sin(539*x) + 1/541*sin(541*x) + 1/543*sin(543*x) + 1/545*sin(545*x) + 1/547*sin(547*x) + 1/549*sin(549*x) + 1/551*sin(551*x) + 1/553*sin(553*x) + 1/555*sin(555*x) + 1/557*sin(557*x) + 1/559*sin(559*x) + 1/561*sin(561*x) + 1/563*sin(563*x) + 1/565*sin(565*x) + 1/567*sin(567*x) + 1/569*sin(569*x) + 1/571*sin(571*x) + 1/573*sin(573*x) + 1/575*sin(575*x) + 1/577*sin(577*x) + 1/579*sin(579*x) + 1/581*sin(581*x) + 1/583*sin(583*x) + 1/585*sin(585*x) + 1/587*sin(587*x) + 1/589*sin(589*x) + 1/591*sin(591*x) + 1/593*sin(593*x) + 1/595*sin(595*x) + 1/597*sin(597*x) + 1/599*sin(599*x) + 1/601*sin(601*x) + 1/603*sin(603*x) + 1/605*sin(605*x) + 1/607*sin(607*x) + 1/609*sin(609*x) + 1/611*sin(611*x) + 1/613*sin(613*x) + 1/615*sin(615*x) + 1/617*sin(617*x) + 1/619*sin(619*x) + 1/621*sin(621*x) + 1/623*sin(623*x) + 1/625*sin(625*x) + 1/627*sin(627*x) + 1/629*sin(629*x) + 1/631*sin(631*x) + 1/633*sin(633*x) + 1/635*sin(635*x) + 1/637*sin(637*x) + 1/639*sin(639*x) + 1/641*sin(641*x) + 1/643*sin(643*x) + 1/645*sin(645*x) + 1/647*sin(647*x) + 1/649*sin(649*x) + 1/651*sin(651*x) + 1/653*sin(653*x) + 1/655*sin(655*x) + 1/657*sin(657*x) + 1/659*sin(659*x) + 1/661*sin(661*x) + 1/663*sin(663*x) + 1/665*sin(665*x) + 1/667*sin(667*x) + 1/669*sin(669*x) + 1/671*sin(671*x) + 1/673*sin(673*x) + 1/675*sin(675*x) + 1/677*sin(677*x) + 1/679*sin(679*x) + 1/681*sin(681*x) + 1/683*sin(683*x) + 1/685*sin(685*x) + 1/687*sin(687*x) + 1/689*sin(689*x) + 1/691*sin(691*x) + 1/693*sin(693*x) + 1/695*sin(695*x) + 1/697*sin(697*x) + 1/699*sin(699*x) + 1/701*sin(701*x) + 1/703*sin(703*x) + 1/705*sin(705*x) + 1/707*sin(707*x) + 1/709*sin(709*x) + 1/711*sin(711*x) + 1/713*sin(713*x) + 1/715*sin(715*x) + 1/717*sin(717*x) + 1/719*sin(719*x) + 1/721*sin(721*x) + 1/723*sin(723*x) + 1/725*sin(725*x) + 1/727*sin(727*x) + 1/729*sin(729*x) + 1/731*sin(731*x) + 1/733*sin(733*x) + 1/735*sin(735*x) + 1/737*sin(737*x) + 1/739*sin(739*x) + 1/741*sin(741*x) + 1/743*sin(743*x) + 1/745*sin(745*x) + 1/747*sin(747*x) + 1/749*sin(749*x) + 1/751*sin(751*x) + 1/753*sin(753*x) + 1/755*sin(755*x) + 1/757*sin(757*x) + 1/759*sin(759*x) + 1/761*sin(761*x) + 1/763*sin(763*x) + 1/765*sin(765*x) + 1/767*sin(767*x) + 1/769*sin(769*x) + 1/771*sin(771*x) + 1/773*sin(773*x) + 1/775*sin(775*x) + 1/777*sin(777*x) + 1/779*sin(779*x) + 1/781*sin(781*x) + 1/783*sin(783*x) + 1/785*sin(785*x) + 1/787*sin(787*x) + 1/789*sin(789*x) + 1/791*sin(791*x) + 1/793*sin(793*x) + 1/795*sin(795*x) + 1/797*sin(797*x) + 1/799*sin(799*x) + 1/801*sin(801*x) + 1/803*sin(803*x) + 1/805*sin(805*x) + 1/807*sin(807*x) + 1/809*sin(809*x) + 1/811*sin(811*x) + 1/813*sin(813*x) + 1/815*sin(815*x) + 1/817*sin(817*x) + 1/819*sin(819*x) + 1/821*sin(821*x) + 1/823*sin(823*x) + 1/825*sin(825*x) + 1/827*sin(827*x) + 1/829*sin(829*x) + 1/831*sin(831*x) + 1/833*sin(833*x) + 1/835*sin(835*x) + 1/837*sin(837*x) + 1/839*sin(839*x) + 1/841*sin(841*x) + 1/843*sin(843*x) + 1/845*sin(845*x) + 1/847*sin(847*x) + 1/849*sin(849*x) + 1/851*sin(851*x) + 1/853*sin(853*x) + 1/855*sin(855*x) + 1/857*sin(857*x) + 1/859*sin(859*x) + 1/861*sin(861*x) + 1/863*sin(863*x) + 1/865*sin(865*x) + 1/867*sin(867*x) + 1/869*sin(869*x) + 1/871*sin(871*x) + 1/873*sin(873*x) + 1/875*sin(875*x) + 1/877*sin(877*x) + 1/879*sin(879*x) + 1/881*sin(881*x) + 1/883*sin(883*x) + 1/885*sin(885*x) + 1/887*sin(887*x) + 1/889*sin(889*x) + 1/891*sin(891*x) + 1/893*sin(893*x) + 1/895*sin(895*x) + 1/897*sin(897*x) + 1/899*sin(899*x) + 1/901*sin(901*x) + 1/903*sin(903*x) + 1/905*sin(905*x) + 1/907*sin(907*x) + 1/909*sin(909*x) + 1/911*sin(911*x) + 1/913*sin(913*x) + 1/915*sin(915*x) + 1/917*sin(917*x) + 1/919*sin(919*x) + 1/921*sin(921*x) + 1/923*sin(923*x) + 1/925*sin(925*x) + 1/927*sin(927*x) + 1/929*sin(929*x) + 1/931*sin(931*x) + 1/933*sin(933*x) + 1/935*sin(935*x) + 1/937*sin(937*x) + 1/939*sin(939*x) + 1/941*sin(941*x) + 1/943*sin(943*x) + 1/945*sin(945*x) + 1/947*sin(947*x) + 1/949*sin(949*x) + 1/951*sin(951*x) + 1/953*sin(953*x) + 1/955*sin(955*x) + 1/957*sin(957*x) + 1/959*sin(959*x) + 1/961*sin(961*x) + 1/963*sin(963*x) + 1/965*sin(965*x) + 1/967*sin(967*x) + 1/969*sin(969*x) + 1/971*sin(971*x) + 1/973*sin(973*x) + 1/975*sin(975*x) + 1/977*sin(977*x) + 1/979*sin(979*x) + 1/981*sin(981*x) + 1/983*sin(983*x) + 1/985*sin(985*x) + 1/987*sin(987*x) + 1/989*sin(989*x) + 1/991*sin(991*x) + 1/993*sin(993*x) + 1/995*sin(995*x) + 1/997*sin(997*x) + 1/999*sin(999*x)), [x,-2*%pi,2*%pi]);

plot2d(1/2 - 2/%pi*(1...

Calculate

plot2d
plot2d((x+1)/(x^2+5*x+6),[x,-5,5],[y,-5,5]);

plot2d((x+1)/(x^2+5*x...

Calculate

plot2d-sin
plot2d(sin(t),[t,0,5]);

plot2d(sin(t),[t,0,5]);

Calculate

plot2d
plot2d([s0(x),Roots],[x,0,6],[style,lines,points],[legend,"s0(x)",""]);

s0(x):=-2+1/8*x^2+1/4...

s1(x):=3+7/4*(x-6)+1/...

Roots:[discrete,[[0,-...

Calculate

plot2d

Run Example
(%i1)kill(all);
(%o0)                                done
(%i1) Ik:16;
(%o1)                                 16
(%i2) U0:92;
(%o2)                                 92
(%i3) a:I/Ik=1-(U/U0)^2;
                                            2
                                 I         U
(%o3)                            -- = 1 - ----
                                 16       8464
(%i4) l:solve(a,U);
(%o4)            [U = - 23 sqrt(16 - I), U = 23 sqrt(16 - I)]
(%i5) m:solve(a,I);
                                       2
                                      U  - 8464
(%o5)                          [I = - ---------]
                                         529
(%i6) define(I(U),rhs(m[1]));
                                         2
                                        U  - 8464
(%o6)                         I(U) := - ---------
                                           529
(%i7) define(U(I),rhs(l[2]));
(%o7)                       U(I) := 23 sqrt(16 - I)
(%i8) P(I,U):=I*U;
(%o8)                           P(I, U) := I U
(%i9) plot2d(I(U),[U,0,92], [xlabel, "U[V]"], [ylabel, "I[A]"]);
plotplot2d(I(U),[U,0,92], [xlabel, "U[V]"], [ylabel, "I[A]"]);plot2d(U(I),[I,0,16], [ylabel, "U[V]"], [xlabel, "I[A]"]);
plotplot2d(U(I),[I,0,16], [ylabel, "U[V]"], [xlabel, "I[A]"]);plot2d([P(I(U),U)],[U,0,92], [xlabel, "U[V]"], [ylabel, "P[W]"]);
plotplot2d([P(I(U),U)],[U,0,92], [xlabel, "U[V]"], [ylabel, "P[W]"]);plot2d([P(I,U(I))],[I,0,16], [xlabel, "I[A]"], [ylabel, "P[W]"], [grid, 10, 10]);
plotplot2d([P(I,U(I))],[I,0,16], [xlabel, "I[A]"], [ylabel, "P[W]"], [grid, 10, 10]);define(Iabgeleitet(U),diff(P(I(U),U),U));
                                            2    2
                                         2 U    U  - 8464
(%o13)               Iabgeleitet(U) := - ---- - ---------
                                         529       529
(%i14) define(Uabgeleitet(I),diff(P(U(I),I),I));
                                                       23 I
(%o14)        Uabgeleitet(I) := 23 sqrt(16 - I) - --------------
                                                  2 sqrt(16 - I)
(%i15) Umax:solve(Iabgeleitet(U),U);
                                  92           92
(%o15)                   [U = - -------, U = -------]
                                sqrt(3)      sqrt(3)
(%i16) Imax:solve(Uabgeleitet(I),I);
                                        32
(%o16)                             [I = --]
                                        3
(%i17) P[max]=float(Imax[1]*Umax[2]);
(%o17)                 P    = (I U = 566.5730641647529)
                        max
(%i18) R[L]=float(Umax[2]/Imax[1]);
                               U
(%o18)                   R  = (- = 4.979646071760522)
                          L    I
(%i19) 
Run Example
plot2d(sin(x)+1, [x,0,6],[y,-2,2]);
plotplot2d(sin(x)+1, [x,0,6],[y,-2,2]);
Run Example
plot2d ([cos(x),cos(x)^2,/*sin(x)^2,*/cos(x)-cos(x)^2], [x,0,2*%pi]);
plotplot2d ([cos(x),cos(x)^2,/*sin(x)^2,*/cos(x)-cos(x)^2], [x,0,2*%pi]);i:A*sin(2500*t);
(%o2)                            sin(2500 t) A
(%i3) v:diff(i,t)*L;
(%o3)                        2500 cos(2500 t) A L
(%i4) integrate(v,t);
(%o4)                           sin(2500 t) A L
(%i5) 

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