AoPS Academy
be an infinite set of translated copies (i.e., obtained by parallel translation) of a given ellipse 
in the plane, and let 
be a fixed straight line. It is known that every straight line parallel to intersects at least one ellipse from . Prove that there exist infinitely many triples of ellipses from such that there exists a straight line intersecting all three ellipses in the triple.
fibonacci numbers (
) find all n such that:
and 
that 
'strong' and 
'strong'
![$f:[1,8]\to R$](http://latex.artofproblemsolving.com/c/e/c/cec97ea0372e37977e8a77e8e77518a2344c1c43.png)
that:
and the distribution function is 
then
and find the expression of 
be a continuous function . Suppose![\[f(x)=\frac{1}{t} \int^t_0 (f(x+y)-f(y))\,dy\]](http://latex.artofproblemsolving.com/c/0/c/c0c48c4259d4e98562c21a23cf4a6841704b8e82.png)
and all 
. Then show that there exists a constant 
such that 
, 
, 
, if f ' (0)=p and f ' (5)=q, then prove f ' (-5) = q
is differentiable and 
for all 
. Show that for some 
, 
.
help in one of my classrooms, and one of the Halpers posted. Is this a glitch or a bug(see screenshot)?
