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Question 15 Consider the surface with equation a² + y² = 4 in R³. This surface is a O paraboloid. O sphere. O cylinder. double cone.

Question 15 Consider the surface with equation a² + y² = 4 in R³. This surface is a O paraboloid. O sphere. O cylinder. double cone.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ts U O 0 Question 15 Consider the surface with equation x² + y² = 4 in R³. This surface is a O paraboloid. O sphere. O cylinder. O double cone. Question 16 Given is a function f(x, y), with fz (a, b) = fy(a, b) = f(a, b) = 0, fzy (a, b) #0 and all second order partial derivatives are continuous at the critical point (a, b). What can be said about the critical point using the second derivative test? The critical point is a local minimum. The critical point is a saddle point.
Transcribed Image Text:ts U O 0 Question 15 Consider the surface with equation x² + y² = 4 in R³. This surface is a O paraboloid. O sphere. O cylinder. O double cone. Question 16 Given is a function f(x, y), with fz (a, b) = fy(a, b) = f(a, b) = 0, fzy (a, b) #0 and all second order partial derivatives are continuous at the critical point (a, b). What can be said about the critical point using the second derivative test? The critical point is a local minimum. The critical point is a saddle point.
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