IITM BS Question 15 - Week 9 Practice

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IITM BS Question 15 - Week 9 Practice | Prasnya

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Q15Numerical1 Mark31 Aug 2025

Let D(r) denote the open disc of radius r in

\mathbb{R}^2

, i.e., D(r) = {

(x, y)

\mathbb{R}^2

| x^2 + y^2 < r^2 }. Let f: D(r) -> [-1, 1] be the scalar-valued function defined by f(x, y) = sin(sqrt(x^2 + y^2)). If cis the largest possible value of r such that f is not surjective on the domain D(r), then find c/

\pi

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Q15

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31 Aug 2025

Mathematics 2 · Week 9

Q15.Let D(r) denote the open disc of radius r in

\mathbb{R}^2

, i.e., D(r) = {

(x, y)

\mathbb{R}^2

\pi

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