quad Bezier/line Intersection
fricas
(1) -> eqn1:= k*Lr - Pr + Ar*w*(1-w)=0
\label{eq1}{-{Ar \ {{w}^{2}}}+{Ar \ w}+{Lr \ k}- Pr}= 0
(1) Type: Equation(Polynomial(Integer))
fricas
eqn2:= k*Ls - Ps + As*w*(1-w)=0
\label{eq2}{-{As \ {{w}^{2}}}+{As \ w}+{Ls \ k}- Ps}= 0
(2) Type: Equation(Polynomial(Integer))
fricas
eqn3:= k*Lt - Pt + At*w*(1-w)=0
\label{eq3}{-{At \ {{w}^{2}}}+{At \ w}+{Lt \ k}- Pt}= 0
(3) Type: Equation(Polynomial(Integer))
fricas
solve([eqn1, eqn2, eqn3], [w])
\label{eq4}\left[ \right]
(4) Type: List(List(Equation(Fraction(Polynomial(Integer)))))
fricas
limit( (sin(2*x)/x)^(1+x), x=0)
Type: Union(OrderedCompletion
?(Expression(Integer)),
...)
fricas
limit(sin(x)/x, x=0, "right")
Type: Union(OrderedCompletion
?(Expression(Integer)),
...)
fricas
limit((3^x+5^x)^(1/x), x=0, "right")
Type: Union(OrderedCompletion
?(Expression(Integer)),
...)
fricas
limit((3^x+5^x)^(1/x), x=0)
\label{eq8}\left[{leftHandLimit = 0}, \:{rightHandLimit ={+ \infty}}\right]
(8) Type: Union(Record(leftHandLimit: Union(OrderedCompletion
?(Expression(Integer)),
"failed"),
rightHandLimit: Union(OrderedCompletion
?(Expression(Integer)),
"failed")),
...)