Question: 7'. Find the absolute Maximum and minimum values of the function f(x,y) = 123' 3'3 on the triangleR= [(x,y}:[} Ex 5 2,0 3 5 236}

 7'. Find the absolute Maximum and minimum values of the functionf(x,y) = 123' 3'3 on the triangleR= [(x,y}:[} Ex 5 2,0 3"5 236} Use Lagrange multipliers to find the maximum and minimum values

of f (when they exist) subject to the given constraint. (a) they)= xy subject to the constraint 2x2 + 342 = l (b}f(x,y,z) = xzyzz subject to the constraint 2x2 + 342 + 22

7'. Find the absolute Maximum and minimum values of the function f(x,y) = 123' 3'3 on the triangleR= [(x,y}:[} Ex 5 2,0 3" 5 236} Use Lagrange multipliers to find the maximum and minimum values of f (when they exist) subject to the given constraint. (a) they) = xy subject to the constraint 2x2 + 342 = l (b} f(x,y,z) = xzyzz subject to the constraint 2x2 + 342 + 22 = l 9. Use Lagrange multipliers to find the minimum distance to the cone 22 x2 5:2 = ID that are closest to the point (1,3,1)

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