IITM BS Question 9 - Week 11 Practice

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IITM BS Question 9 - Week 11 Practice | Prasnya

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Q9Comprehension6 Marks21 Dec 2025

Passage

Based on the above data, answer the given subquestions. Consider the function

f: \mathbb{R}^2 \to \mathbb{R}

defined by

f(x, y) = \cos(x^2 + y^2)

, for all

(x, y) \in \mathbb{R}^2

Consider the set of all values of determinants of the Hessian matrix at the critical points, i.e., consider the set { det(v_{f}(x, y)) |(x, y) is a critical point of f }. Find the minimum value from the above set.

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21 Dec 2025

Mathematics 2 · Week 11

Q9.Consider the set of all values of determinants of the Hessian matrix at the critical points, i.e., consider the set { det(v_{f}(x, y)) |(x, y) is a critical point of f }. Find the minimum value from the above set.@passage

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