Question

Find the points on the ellipse 4x^2+y^2= 4 that are farthest away from the point (1; 0)

Answer 1

There should be two x points I think.
I think I need to use the distance formula..
set y = sqrt ( 4-4x^2)

what else do i do now?

Answer 2

is this a calculus problem?

Answer 3

this is optimization ,so yes

Answer 4

ok...

Answer 5

do you understand how i got the expression for "d", the distance?