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.

Answer 1

Maximization problem? :)
Oh these are fun!

Answer 2

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.

Answer 3

yes

Answer 4

yes i've done the figure part

Answer 5

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