Sponsored links: Algebra eBooks
 

Related

plot2d
plot2d([f(x),P(x)],[x,1.5,2.5]);

f(x):=1/3*x^3-3*x;

P(x):=-3.375+x/12+2*x^2;

plot2d([f(x),P(x)],[x...

Calculate

plot2d-solve-sqrt
plot2d([(sqrt(t^2-4*t*L*L)-t)/2/L, (sqrt(t^2-4*t*L*L)+ t)/2/L],[t, -100, +100]);

%L:3;

solve(a^2 = -t*(a-L),...

L:3;

Calculate

plot2d-sqrt
plot2d(-sqrt(x), [x, -2, 4], [y,-7, 1]);

plot2d(-sqrt(x), [x, ...

Calculate

plot2d
plot2d( [x^3, x^(1/3)], [x,-5,5]);

plot2d( [x^3, x^(1/3)...

Calculate

plot2d-sqrt
plot2d([(t + sqrt(t^2 - t*L)*1),(t - sqrt(t^2 - t*L)*1)], [t, -50, 50]);

L: 1;

plot2d([(t + sqrt(t^2...

Calculate

plot2d
plot2d(x,[x,-3,3]);

plot2d(x,[x,-3,3]);

Calculate

plot2d
plot2d(f,[x,-8.2,8.2],[y,-5,5]);

f:3;

plot2d(f,[x,-8.2,8.2]...

Calculate

plot2d-sin-sqrt-taylor
plot2d(2*(x-3)^2,[x,-4,6]);

f(x):=taylor(sqrt(1+s...

plot2d(2*(x-3)^2,[x,-...

Calculate

plot2d-tan
plot2d(eq1,[x,0,1.57]);

eq1:(tan(x)^2)-3;

plot2d(eq1,[x,0,1.57]);

Calculate

plot2d-sin
plot2d([exp^(sin(x))],[x,0,5]);

plot2d([exp^(sin(x))]...

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([x*sin(2/x*3)],[x,-1,1]);
plotplot2d([x*sin(2/x*3)],[x,-1,1]);
Run Example
plot2d(sin(x)+1, [x,0,6],[y,-2,2]);
plotplot2d(sin(x)+1, [x,0,6],[y,-2,2]);

Related Help

Help for Plot2d