ind the critical points of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, ente f(x, y) = x³ + y² - 2xy + 7x-8y + 5 maller y-value critical point lassification arger y-value critical point classification (x, y) = (x, y) = -Select--- ---Select--- Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) elative minimum value elative maximum value

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the critical points of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.)
f(x, y) = x² + y² - 2xy + 7x - 8y + 5
smaller y-value
critical point
classification
larger y-value
critical point
classification
(x, y)
=
(x, y) =
---Select---
---Select---
Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.)
relative minimum value
relative maximum value
Transcribed Image Text:Find the critical points of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x² + y² - 2xy + 7x - 8y + 5 smaller y-value critical point classification larger y-value critical point classification (x, y) = (x, y) = ---Select--- ---Select--- Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value relative maximum value
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