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IFoA_CAA_M0 Exam - Topic 6 Question 43 Discussion

Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2
C) (0,0) and a maximum
A) (0,1) and a saddle point
B) (0,0) and a minimum
D) (0.5,-1) and a maximum

IFoA_CAA_M0 Exam - Topic 6 Question 43 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam
Question #: 43
Topic #: 6
[All IFoA_CAA_M0 Questions]

Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2

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Suggested Answer: C

by Marvel at Jun 18, 2022, 03:15 PM

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Rodolfo
8 months ago
(0.5,-1) is not a critical point for this function.
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Irene
8 months ago
Wait, how is (0,0) a max? That seems off!
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Bong
9 months ago
Definitely a saddle point at (0,1).
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Jimmie
9 months ago
I think (0,0) is a minimum, not a maximum.
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Melissia
9 months ago
The function has a maximum at (0,0).
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Leatha
9 months ago
I’m pretty sure (0,0) is a critical point, but I can’t recall if it’s a maximum or minimum. I guess I’ll have to double-check my notes!
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Jonell
9 months ago
I think the second derivative test might help here, but I’m a bit confused about how to apply it to this function.
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Elsa
9 months ago
I feel like I’ve seen a similar question where we had to determine the nature of the critical points. I’m leaning towards option C, but I’m not entirely sure.
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Roxane
9 months ago
I remember we practiced finding critical points by taking partial derivatives. I think I need to check if (0,0) is a maximum or minimum.
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Shay
9 months ago
This seems like a tricky question. I'll need to think carefully about the Dispatcher and Performer model and how exceptions are handled in that context.
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Jerry
9 months ago
Hmm, this looks like a tricky one. I'll need to think through the different levels of the architecture landscape to determine the best answer.
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Sarah
10 months ago
I'm not entirely sure about this one. There are a lot of options, and I'm not familiar with all the details of Field Service configuration. I'll make my best guess, but I might need to come back to this one if I'm unsure.
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