IITM BS Question 4 - Week 10 Practice

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IITM BS Question 4 - Week 10 Practice | Prasnya

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Q4Comprehension4 Marks10 May 2026

Passage

Consider the following domain

D = \{(x, y) \in \mathbb{R}^2 \mid x + y \le 1, 0 \le x, 0 \le y\}

. Suppose

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

is a function defined by

f(x, y) = x^2 - y

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

What is the number of critical points inside the domain D of f? Write zero if there is no critical point.

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10 May 2026

Mathematics 2 · Week 10

Q4.What is the number of critical points inside the domain D of f? Write zero if there is no critical point.@passage

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