IITM BS Question 3 - Week 10 Practice

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IITM BS Question 3 - Week 10 Practice | Prasnya

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Q3Comprehension4 Marks10 May 2026

Passage

Let

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

be the real valued function defined by

f(x, y) = xy^2 + yx^2

for all

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

. Let

T'(a, b)

denote the tangent plane to the graph of

f

at the point

(a, b)

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

What is the dimension of the subspace corresponding to the affine subspace T'(0, 0)?

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10 May 2026

Mathematics 2 · Week 10

Q3.What is the dimension of the subspace corresponding to the affine subspace T'(0, 0)?@passage

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