Q6Comprehension5 Marks21 Dec 2025
Passage
Based on the above data, answer the given subquestions. Let D = {(x, y) in | x^2 + y^2 <= 5*/4}. Consider the function f: D -> R defined by f(x, y) = sin(x^2 + y^2), for all in .
In the interior of D, the Hessian test is inconclusive for all but one critical points. Find the determinant of the Hessian of f at the critical point where the Hessian test does not fail.
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