Sponsored links: Algebra eBooks
 

Related

ev-is-subst

ans1=s*t;

SForm:ans1;

BoolForm: is(ans1=s/t);

Calculate

ev-numer-pi

h: 6.62606957e-34/(2*...

m: 9.10938291e-31;

l: 5e-10;

Calculate

ev-expand-solve

ev(solve(x^3+x^2-12*x...

Calculate

ev

ev(3*x^3-2*x^2+x,x=5);

Calculate

ev-floor-if-makelist-map-rhs-solve

g1:m+f+k=100;

g2:3*m+2*f+1/2*k=100;

l:solve([g1,g2],[m,f,...

Calculate

ev

P(x)=-2*x^3+3*x-5;

ev(P(x),x=-2);

Calculate

ev-numer-pi-solve

fg: G*me*mm/rm^2;

fz: mm*rm*w^2;

e: fz=fg;

Calculate

ev-integrate-ratsimp

/* The two integrals ...

flog(xi) := integrate...

ev( flog(k) );

Calculate

ev-float-plot2d-sin-solve-sqrt
plot2d([f,g],[t,-%pi,%pi]);

f(t):=2*sqrt(3)*sin(3...

g(t):=0.8*t^2;

plot2d([f,g],[t,-%pi,...

Calculate

ev

Run Example
(%i1)P:30-(Q1+Q2+Q3);
(%o1)                         - Q3 - Q2 - Q1 + 30
(%i2) REV3:P*Q3;
(%o2)                      (- Q3 - Q2 - Q1 + 30) Q3
(%i3) MR3:diff(REV3,Q3);
(%o3)                        - 2 Q3 - Q2 - Q1 + 30
(%i4) COST3:Q3^2/3;
                                        2
                                      Q3
(%o4)                                 ---
                                       3
(%i5) MC2:diff(COST3,Q3);
                                     2 Q3
(%o5)                                ----
                                      3
(%i6) sol3:solve(MR3=MC3,Q3);
                                  Q2 + Q1 + MC3 - 30
(%o6)                     [Q3 = - ------------------]
                                          2
(%i7) br3:sol3[1];
                                  Q2 + Q1 + MC3 - 30
(%o7)                      Q3 = - ------------------
                                          2
(%i8) Q3:rhs(br3);
                               Q2 + Q1 + MC3 - 30
(%o8)                        - ------------------
                                       2
(%i9) P:30-(Q1+Q2+Q3);
                       Q2 + Q1 + MC3 - 30
(%o9)                  ------------------ - Q2 - Q1 + 30
                               2
(%i10) REV2:P*Q2;
                        Q2 + Q1 + MC3 - 30
(%o10)              Q2 (------------------ - Q2 - Q1 + 30)
                                2
(%i11) MR2:diff(REV1,Q1);
(%o11)                                 0
(%i12) COST2:Q2^2/2;
                                        2
                                      Q2
(%o12)                                ---
                                       2
(%i13) MC2:diff(COST2,Q2);
(%o13)                                Q2
(%i14) sol2:solve(MR2=MC2,Q2);
(%o14)                             [Q2 = 0]
(%i15) br2:sol2[1];
(%o15)                              Q2 = 0
(%i16) Q2:rhs(br2);
(%o16)                                 0
(%i17) ev (Q3, sol2);
                                  Q1 + MC3 - 30
(%o17)                          - -------------
                                        2
(%i18) P:30-(Q1+Q2+Q3);
                         Q2 + Q1 + MC3 - 30
(%o18)                   ------------------ - Q1 + 30
                                 2
(%i19) REV1:P*Q1;
                           Q2 + Q1 + MC3 - 30
(%o19)                 Q1 (------------------ - Q1 + 30)
                                   2
(%i20) MR1:diff(REV1,Q1);
                        Q2 + Q1 + MC3 - 30   3 Q1
(%o20)                  ------------------ - ---- + 30
                                2             2
(%i21) COST1:Q1^2;
                                        2
(%o21)                                Q1
(%i22) MC1:diff(COST1,Q1);
(%o22)                               2 Q1
(%i23) Sol1:solve(MR1=MC1,Q1);
                                   Q2 + MC3 + 30
(%o23)                       [Q1 = -------------]
                                         6
(%i24) ev(Q2,sol1);
(%o24)                                 0
(%i25) ev(Q1,sol2);
(%o25)                                Q1
(%i26) 
Run Example
M:120;
(%o1)                                 120
(%i2) alpha:15;
(%o2)                                 15
(%i3) g:9.81;
(%o3)                          9.810000000000001
(%i4) R:7;
(%o4)                                  7
(%i5) V:20/3.6;
(%o5)                          5.555555555555555
(%i6) Mom:ev(sin(alpha*%pi/180)*M*g*R*25.4/2000,numer);
(%o6)                          27.08621023263771
(%i7) Speed:ev(V/(R*25.4e-3),numer);
(%o7)                          31.24609423822022
(%i8) 
Run Example
eq1:x^5/3-3*x^2.5/2+2*x^.5;
                              5      2.5
                             x    3 x         0.5
(%o1)                        -- - ------ + 2 x
                             3      2
(%i2) eq2:diff(eq1,x,1);
                               4
                            5 x          1.5   1.0
(%o2)                       ---- - 3.75 x    + ----
                             3                  0.5
                                               x
(%i3) ev(eq2,x=1);
(%o3)                         - 1.083333333333333
(%i4) ev(eq2,x=4.5);
(%o4)                          648.1116237232221
(%i5) 

Related Help

Help for Ev