Suppose We Have An Equality Optimization Problem As Follows #344
Suppose we have an equality optimization problem as follows: Minimize f(x, y) = x + 2y subject to x<sup>2</sup> + y<sup>2</sup> – 4 = 0. While solving the above equation we get x = ± \(\frac {2}{\sqrt 5}\), y = ± \(\frac {4}{\sqrt 5}\), λ = ± \(\frac {\sqrt 5}{4}\). At what value of x and y does the function f(x, y) has its minimum value?
This multiple choice question (MCQ) is related to the book/course gs gs126 Neural Networks. It can also be found in gs gs126 Support Vector Machines - Support Vector Machines - Quiz No.1.
Suppose we have an equality optimization problem as follows: Minimize f(x, y) = x + 2y subject to x2 + y2 – 4 = 0. While solving the above equation we get x = ± \(\frac {2}{\sqrt 5}\), y = ± \(\frac {4}{\sqrt 5}\), λ = ± \(\frac {\sqrt 5}{4}\). At what value of x and y does the function f(x, y) has its minimum value?
–\(\frac {2}{\sqrt 5}, – \frac {4}{\sqrt 5}\)
\(\frac {2}{\sqrt 5}, – \frac {4}{\sqrt 5}\)
–\(\frac {2}{\sqrt 5}, \frac {4}{\sqrt 5}\)
\(\frac {2}{\sqrt 5}, \frac {4}{\sqrt 5}\)
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