IITM BS Question 13 - Week 9 Practice

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IITM BS Question 13 - Week 9 Practice | Prasnya

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Q13Comprehension3 Marks21 Dec 2025

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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

Let M_band M_b denote the maximum and minimum values of f, respectively. Find M_b- M_b. (Note that this does not require the Hessian test.)

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Q13

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21 Dec 2025

Mathematics 2 · Week 9

Q13.Let M_band M_b denote the maximum and minimum values of f, respectively. Find M_b- M_b. (Note that this does not require the Hessian test.)@passage

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