300 Reputation

12 years, 147 days

Solve the inequality...

Maple

I want to solve the inequality log[3](5*x+1)/(log[3](7*x-1)^2) <=0. I did

A:=log[3](5*x+1)/(log[3](7*x-1)^2):

solve(A<=0,x);

Another way, if i solve  the inequality log[3](5*x+1)/(log[3](7*x-1)^2) <=1, i got Warning, solutions may have been lost. Please help me.

Get a point on the line...

In geometry package, for example, i have the line d has equation 2*x + 3*y + 4 = 0. I want to choose an arbitrary point on the line d, how must i do?

How to define a function?...

I have an equation of the plane Q: x + y + z - 1 = 0. Now i want to define a function

f:=(x,y,z)->lhs(Equation(Q)):

and i calculate the value f(1, 2, 3), but Maple understand. Plese help me.

If i want to substitute the coordinates N(a + 1, b + 2, c + 3) into the equation of the plane Q. What must i do?

Solve the system of equations...

I can not solve the system of equations

restart;

eq1:= x^4+2*(3*y+1)*x^2+(5*y^2+4*y+11)*x -y^2+10*y +2=0;

eq2:=y^3+(x-2)*y+x^2+x+2=0;

solve([eq1=0,eq2=0],[x,y]);

Equation of a sphere...

Maple

restart;with(geom3d):

point(M,1,2,1):

plane(P,x+y-3=0,[x,y,z]):

plane(Q,2*x-2*y+z-1=0,[x,y,z]):

line(d,[1+2*t,1-t,t],t):

n:=NormalVector(P):

line(Delta,[M,n],t):

Eq:=Equation(Delta):

intersection(N,d,P):

coordinates(N):

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