Kitonum

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16 years, 221 days

MaplePrimes Activity


These are questions asked by Kitonum

is(cos(x)=sqrt(1-sin(x)^2) or cos(x)=-sqrt(1-sin(x)^2)) assuming real;

                                          false  

In a simpler situation the result is correct

is(x=0 or x<>0) assuming real;

                                           true         

Here's a problem that I think works well with Maple.
Three runners, A, B, and C, are running on parallel tracks (each running at a constant speed, but not necessarily at the same speed as the others). At the start, the area of ​​triangle ABC is  , and after 5 seconds it is  . What might this area be after another   seconds?

Here's a puzzle for geometry lovers. It has a very short manual solution, but it's not that easy to find. Of course, you can solve it in Maple using coordinates. You need to find the radius of these two identical circles.

is(abs(x)=max(x,-x)) assuming real;

#  FAIL

I wonder if this will work in newer versions of Maple?

Is it possible to simplify the following relatively simple expression  (10*(5+sqrt(41)))/(sqrt(70+10*sqrt(41))*sqrt(130+10*sqrt(41)))  using 1-2 standard commands  simplify , combine, radnormal  and so on?   I was unable to do this in Maple 2018. Maybe newer versions of Maple will be able to handle this. I managed to simplify it in 3 steps:

expr:=(10*(5+sqrt(41)))/(sqrt(70+10*sqrt(41))*sqrt(130+10*sqrt(41)));
sqrt(simplify(expr^2));

                              

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