11:57 Consider the problem of minimizing the function f(z,y) = z on the curve y+ - = 0. Try using the Lagrange multipliers to solve the problem. Show that the minimum value is f(0,0) = 0, but the Lagrange condition Vf(0,0) =AVg(0,0) is not satisfied for any value of A. Explain why Lagrange multipliers fall to find the minimum value in this case. %3D

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.