6. a) Find and classify the critical points of the function f(x,y) = Y³ + x³ – 6x² – 48y + 4, i.e. whether each is a saddle point, local minimum, local maximum, or none. b) What is the maximum value attained by f on the circle C : x² + y? = 9? At what point(s) on C does f attain this value?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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6. a) Find and classify the critical points of the function f (x, y) = y³ + x³ – 6x2 – 48y + 4, i.e. whether each is a saddle
point, local minimum, local maximum, or none. b) What is the maximum value attained by f on the circle C : x² + y? = 9?
At what point(s) on C does f attain this value?
-
Transcribed Image Text:6. a) Find and classify the critical points of the function f (x, y) = y³ + x³ – 6x2 – 48y + 4, i.e. whether each is a saddle point, local minimum, local maximum, or none. b) What is the maximum value attained by f on the circle C : x² + y? = 9? At what point(s) on C does f attain this value? -
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