Find the point on the curve x+y 2 = 0 that is closest to the point (0,3).

Find the point on the curve x+y2 = 0 that is closest to the point (0,−3). 

The given curve x + y" =0has been plotted in red below.From (4), we have~xty=d4k'+ 2(k+3)2 / 1 + (R + 3 )Putting,as= =0, we have(- 1. -1)4k' +2(k+3)=0...(5)Solving (5), we get...