Maximize Q = xy, where x and y are positive numbers such that x+6y = 2. Maximize Q = Where x and y are positive

Maximize Q = xy, where x and y are positive numbers such that x+6y² = 2.

Maximize Q = Where x and y are positive numbers such that x +6y2 = 2. The maximum value of Q is and occurs at x and y = C]. (Type exact answers in simplified form.)