4) f(x, y) = x3 + y3 - 300x - 192y - 2 A) f(-10, -8)= 3022, local maximum; f(10, 8) = -3026, local minimum B) f(10, -8)= -978, saddle point; f(-10, 8) = 974, saddle point C) f(-10, -8)= 3022, local maximum D) f(10, 8) = -3026. local minimum; f(10, −8) = -978, saddle point; f(-10, 8) = 974, saddle point; f(-10, -8)= 3022, local maximum

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point

4) f(x, y) = x3 + y3 - 300x - 192y - 2
A) f(-10, -8)= 3022, local maximum; f(10, 8) = -3026, local minimum
B) f(10, -8)= -978, saddle point; f(-10, 8) = 974, saddle point
C) f(-10, -8)= 3022, local maximum
D) f(10, 8) = -3026. local minimum; f(10, −8) = -978, saddle point; f(-10, 8) = 974, saddle
point; f(-10, -8)= 3022, local maximum
Transcribed Image Text:4) f(x, y) = x3 + y3 - 300x - 192y - 2 A) f(-10, -8)= 3022, local maximum; f(10, 8) = -3026, local minimum B) f(10, -8)= -978, saddle point; f(-10, 8) = 974, saddle point C) f(-10, -8)= 3022, local maximum D) f(10, 8) = -3026. local minimum; f(10, −8) = -978, saddle point; f(-10, 8) = 974, saddle point; f(-10, -8)= 3022, local maximum
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