IITM BS Question 5 - Week 10 Practice

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IITM BS Question 5 - Week 10 Practice | Prasnya

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Q5Numerical5 Marks10 May 2026

Consider a function

f: \mathbb{R}^3 \to \mathbb{R}

defined as f(x, y, z) = 3xy - x^2 - y^2 + z^3. If the unit direction of the steepest descent of f at

(1, -1, 0)

(a, b, c)

, then find the value of sqrt(17)(a + b + c).

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10 May 2026

Mathematics 2 · Week 10

Q5.Consider a function

f: \mathbb{R}^3 \to \mathbb{R}

defined as f(x, y, z) = 3xy - x^2 - y^2 + z^3. If the unit direction of the steepest descent of f at

(1, -1, 0)

(a, b, c)

, then find the value of sqrt(17)(a + b + c).

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