In each of the following exercises, you are given a function f, and a constraint equation g = c. (a) Show that there are no points p, satisfying the constraint,

and such that r!g(p) = 0. (b) Use Lagrange multipliers to find the critical points of f, subject to the constraint.

f(x,y)=xy, and 3x^2+2y^2 =30.