hi! can you please help me?

A rectangle is inscribed in the ellipse b^2 x^2+a^2 y^2=a^2 b^2 with each of its ides parallel to an axis of the ellipse. Find the greatest perimeter which the rectangle can have.

Question

hi! can you please help me?

A rectangle is inscribed in the ellipse b^2 x^2+a^2 y^2=a^2 b^2 with each of its ides parallel to an axis of the ellipse. Find the greatest perimeter which the rectangle can have.

zepdrix · Answer

Maximization problem? :)
Oh these are fun!

zepdrix · Answer

So we'll need to create a `Perimeter Function` from the given information,
then we'll need to use our `constraint`, the ellipse,
to get that function in terms of one variable.

jarp0120 · Answer

yes

zepdrix · Answer

|dw:1445239259473:dw|

jarp0120 · Answer

yes i've done the figure part

zepdrix · Answer

|dw:1445239341344:dw|To get to this vertex here,
we travel some distance x to the right,
and y up,