In: Advanced Math
Use Lagrange multipliers to find the minimum and maximum values for the following functions subject to the given constaints.
a) f(x,y) = 8x2+y2 ; x4+y4 = 4
b) f(x,y,z) = 2z-8x2 ; 4x2+y2+z2 = 1
c) f(x,y,z) = xyz ; x2+4y2+3z2 = 36