IITM BS Question 2 - Week 7 Practice

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IITM BS Question 2 - Week 7 Practice | Prasnya

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Q2Comprehension5 Marks10 May 2026

Passage

Consider the function

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

defined as

f(x, y) = e^{x^3 + y^3}

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

Suppose function f describes the amount of rain at a point

(x, y)

\mathbb{R}^2

on a map. If along the unit direction

(a, b)

the amount of rain remains constant starting at point

(1, 1)

, then find a^2 + b^2.

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10 May 2026

Mathematics 2 · Week 7

Q2.Suppose function f describes the amount of rain at a point

(x, y)

\mathbb{R}^2

on a map. If along the unit direction

(a, b)

the amount of rain remains constant starting at point

(1, 1)

, then find a^2 + b^2.@passage

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