dentify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from mallest to largest x, then from smallest to largest y.) f(x, y) = x + y³ - 300x – 108y – 5 *, у, 2) %3D -10, – 6,2160 maximum <, y, z) = -10,6,2160 saddle point к, у, 2) 3 10, – 6, – 2160 saddle point *, у, 2) %3D ( 10,6, – 2160 minimum

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Identify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from
smallest to largest x, then from smallest to largest y.)
f(x, y) = x3 + y³ - 300x - 108y - 5
(х, у, 2) %3D
-10, – 6,2160
maximum
(х, у, 2) %3D
-10,6,2160
saddle point v
(х, у, 2) %3
10, – 6, – 2160
saddle point v
(x, y, z) =
10,6, – 2160
minimum
Transcribed Image Text:Identify any critical points, and use the second derivative test to determine whether each critical point is a maximum, minimum, saddle point, or none of these. (Order your answers from smallest to largest x, then from smallest to largest y.) f(x, y) = x3 + y³ - 300x - 108y - 5 (х, у, 2) %3D -10, – 6,2160 maximum (х, у, 2) %3D -10,6,2160 saddle point v (х, у, 2) %3 10, – 6, – 2160 saddle point v (x, y, z) = 10,6, – 2160 minimum
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