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Consider the vertical cone. The minimum value of the function in the region f(x,y) = c is?

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Consider the vertical cone. The minimum value of the function in the region f(x,y) = c is?

(a) constant

(b) 1

(c) 0

(d) -1

I have been asked this question in an interview for internship.

Query is from Maxima and Minima of Two Variables topic in section Maxima and Minima of Engineering Mathematics

1 Answer

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Right choice is (a) constant

The explanation: f(x,y) = c is a level curve over which the function has constant value

Hence, we have the answer as a constant.

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