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In: Advanced Math

Use Lagrange multipliers to find the minimum and maximum values for the following functions subject to...

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

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