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quad Bezier/line Intersection

fricas
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[{\left[ \right]}\right](4)
Type: List(List(Equation(Fraction(Polynomial(Integer)))))

fricas
limit( (sin(2*x)/x)^(1+x), x=0)

\label{eq5}2(5)
Type: Union(OrderedCompletion?(Expression(Integer)),...)
fricas
limit(sin(x)/x, x=0, "right")

\label{eq6}1(6)
Type: Union(OrderedCompletion?(Expression(Integer)),...)
fricas
limit((3^x+5^x)^(1/x), x=0, "right")

\label{eq7}+ \infty(7)
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")),...)




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