2. Consider the function g(x, y) = f(x, y, 2xy) defined on R², where f(r, y, z) is the function of Problem 1. (i) Compute all critical points of g and classify them as either local maxima, local minima or saddle points. (ii) Compute the global maxima and global minima of g, if they exist. If they do not exist, explain why (i.e., prove it). (iii) Let D = {(x, y) E R²| 2x² + y² < 2} and assume g(x, y) is defined on D. Com- pute the global maxima and global minima and discuss their existence (use both approaches, i.e., the Lagrange Multipliers Principle and the analysis of g(x, y) on the boundary of D, ƏD).

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A: I think you have mistaken the question it will be 28x2 then the answers are shown below.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.