Consider f(x, y) = x2 + 4.xy + y? subject to the constraint x2 + y? < 49 (a) Find all critical points of the function that lie in the interior of the disk and use the second derivative test to classify those points. (b) Using Lagrange multipliers, determine the complete system of equations to find the points on the boundary.

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A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: Find the minimum of f(x,y) = 2x2 + 3y2 subject to x2 + y2 = 4.

A: We have to find the minimum value.

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A: In this question, the concept of maxima and minima is applied. Maxima and Minima The critical points…

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