How do I minimize [math]\sqrt{(x-3) ^2+(y-5) ^2}+\sqrt{(x-2) ^2+(y-2) ^2}+\sqrt{(x-8) ^2+(y-1) ^2}+ \sqrt{(x+8) ^2+(y+6) ^2}[/math]?
What is the minimum of [math]\frac {\sqrt{x^2 + (1 - y)^2}} {\sqrt{1 - y}} + \frac {\sqrt{y^2 + (1 - x)^2} }{(1 + \sqrt{1 - y})}[/math] where [math]0 \leq x, y \leq 1[/math]?