Question

What are the coordinates of the center of the ellipsis shown below: (x-1)²/9+(y+5)²/16=1

Answer 1

Hi,

Explanation:

`f(x,y)=((x-1)^2)/(9) +((y+5)^2)/(16)-1=0\\ \\\\\frac{\partial{f(x,y)}}{\partial x} =(2)/(9) (x-1)=0\ \Longrightarrow\ x=1\\\\\frac{\partial{f(x,y)}}{\partial y} =(2)/(16) (y+5)=0\ \Longrightarrow\ y=-5\\\\`

center is (1,-5)