+0  
 
0
234
1
avatar

Find the maximum value of \(f(x,y) = x \sqrt{1 - y^2} + y \sqrt{1 - x^2},\)where \(-1 \le x, y \le 1.\)

 Aug 10, 2019
 #1
avatar+29252 
+2

Hint:

Because this is symmetric with respect to x and y, the maximum (and minimum) will occur when x = y. 

Hence find the maximum of \(2x\sqrt{1-x^2}\)   

 Aug 11, 2019

31 Online Users

avatar
avatar