max of a function?

[gibney]

how would i find the max f(x,y) of x+y subject to x^2+y^2=3?
and the max f(x,y) of 3xy subject to x^2+y^2=1
thanks !!!!

 

[Deleted member 4993]

how would i find the max f(x,y) of x+y subject to x^2+y^2=3?
and the max f(x,y) of 3xy subject to x^2+y^2=1
thanks !!!!

What methods have been taught to find maximum of a function - given a constraint. Does Lagrange Multiplier sound familiar?