IITM BS Question 13 - Week 10 Practice

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IITM BS Question 13 - Week 10 Practice | Prasnya

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Q13Comprehension5 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

Find the maximum value of R > 0 such that f, when restricted to D = {

(x, y)

\mathbb{R}^2

| x^2 + y^2 < R } contains a unique critical point. (Enter the answer rounded to two decimal places.)

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Q13

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21 Dec 2025

Mathematics 2 · Week 10

Q13.Find the maximum value of R > 0 such that f, when restricted to D = {

(x, y)

\mathbb{R}^2

| x^2 + y^2 < R } contains a unique critical point. (Enter the answer rounded to two decimal places.)@passage

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