1.(3.3) Let f(x, y) = x² - 3xy + 5x + 6y² - 2y+8. (1) Find critical point(s) of f. (2) Find the discriminant D at critical point(s) obtained above. (3) Find local extrema of f.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
Question
1.(3.3) Let f(x, y) = x² - 3xy + 5x + 6y² - 2y+8.
(1) Find critical point(s) of f.
(2) Find the discriminant D at critical point(s) obtained above.
(3) Find local extrema of f.
Transcribed Image Text:1.(3.3) Let f(x, y) = x² - 3xy + 5x + 6y² - 2y+8. (1) Find critical point(s) of f. (2) Find the discriminant D at critical point(s) obtained above. (3) Find local extrema of f.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,