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-3-x²-x² 1 Suppose that the Hessian of a function f = f(x, y) is given by the matrix H, = [ function f has a single critical point. Which one of the following statements is true? Select one alternative O The critical point of f is a relative minimum. The critical point of f is a relative maximum. O The critical point of f is a saddle point. O We have not been given enough information to classify the critical point of f. 12] The

-3-x²-x² 1 Suppose that the Hessian of a function f = f(x, y) is given by the matrix H, = [ function f has a single critical point. Which one of the following statements is true? Select one alternative O The critical point of f is a relative minimum. The critical point of f is a relative maximum. O The critical point of f is a saddle point. O We have not been given enough information to classify the critical point of f. 12] The

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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-3 - x² - x² 4 Suppose that the Hessian of a function f = f(x, y) is given by the matrix Hf |-³- f = 1 function f has a single critical point. Which one of the following statements is true? Select one alternative The critical point of f is a relative minimum. The critical point of f is a relative maximum. The critical point of f is a saddle point. We have not been given enough information to classify the critical point of f. 1 -2 The
Transcribed Image Text:-3 - x² - x² 4 Suppose that the Hessian of a function f = f(x, y) is given by the matrix Hf |-³- f = 1 function f has a single critical point. Which one of the following statements is true? Select one alternative The critical point of f is a relative minimum. The critical point of f is a relative maximum. The critical point of f is a saddle point. We have not been given enough information to classify the critical point of f. 1 -2 The
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Step 1

The Hessian of a function f=fx,y is given by the matrix Hf=-3-x2-x411-2

The function has a single critical point, we have to find whether the critical point is the relative minimum, or relative maximum, or saddle point.

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