IITM BS Question 15 - Week 11 Practice

Prasnya

IITM BS Question 15 - Week 11 Practice | Prasnya

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Q15Comprehension1 Mark13 Apr 2025

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Based on the above data, answer the given subquestions. Consider the graph of a scalar-valued function f(x,y) defined on a closed and bounded domain D in

\mathbb{R}^2

. The points on the graph that are closest to and farthest from a fixed point

(c, c, c)

can be found by computing the global extrema of the function defined by computing the square of the distance between

(c, c, c)

and a generic point (x, y, f(x,y)) on the graph. For the given subparts, consider the function f(x,y) = -2 - x^2 - y^2 restricted to the domain D = {(x,y)

\in \mathbb{R}^2

| x^2 + y^2 <= 1}.

Using the function

\phi

, compute the distance between

(0,0,0)

and a point on the graph of f(x,y) = -2 - x^2 - y^2 that is closest to

(0,0,0)

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Q15

00:00

13 Apr 2025

Mathematics 2 · Week 11

Q15.Using the function

\phi

, compute the distance between

(0,0,0)

and a point on the graph of f(x,y) = -2 - x^2 - y^2 that is closest to

(0,0,0)

.@passage

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