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SandBox3

Edit detail for SandBox3 revision 2 of 2

	1 2
Editor: test1 Time: 2013/04/30 16:14:22 GMT+0
Note:

changed:
-limit( (sin(2*x)/x)**(1+x), x=0)
limit( (sin(2*x)/x)^(1+x), x=0)

changed:
-limit((3**x+5**x)**(1/x), x=0, "right")
-limit((3**x+5**x)**(1/x), x=0)
limit((3^x+5^x)^(1/x), x=0, "right")
limit((3^x+5^x)^(1/x), x=0)

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)

$\label{eq5}2$

(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")),...)