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For what values of the constant m does the Second Derivative Test guarantee that f(x,y)= -3x2 + mxy-3y ill have a saddle point at (0,0)? A local maximum at (0, 0) ? For what values of m is the Second Derivative Test inconclusive? f will have a saddle point at (0,0) if m=D±6, f will have a local maximum at (0,0) if -66 or m<-6. f will have a saddle point at (0,0) if m=±6, f will have a local maximum at (0,0) if m>6 6 m<-6 The test is inconclusive if -6-6. f will have a saddle point at (0,0) if m>6 or m<-6, D fwill have a local maximum at (0,0) if -6

For what values of the constant m does the Second Derivative Test guarantee that f(x,y)= -3x2 + mxy-3y ill have a saddle point at (0,0)? A local maximum at (0, 0) ? For what values of m is the Second Derivative Test inconclusive? f will have a saddle point at (0,0) if m=D±6, f will have a local maximum at (0,0) if -66 or m<-6. f will have a saddle point at (0,0) if m=±6, f will have a local maximum at (0,0) if m>6 6 m<-6 The test is inconclusive if -6-6. f will have a saddle point at (0,0) if m>6 or m<-6, D fwill have a local maximum at (0,0) if -6

Calculus For The Life Sciences
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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For what values of the constant m does the Second Derivative Test guarantee that f(x,y) = - 3x² + mxy-3y2 will have a saddle point at (0,0)? A local maximum at (0, 0) ? For what values of m is the Second Derivative Test inconclusive? f will have a saddle point at (0,0) if m=±6, f will have a local maximum at (0,0) if -6<m<6, The test is inconclusive if m>6 or m<-6. f will have a saddle point at (0,0) if m=±6, fwill have a local maximum at (0,0) if m>6 6 m<-6 The test is inconclusive if -6<m<6. f will have a saddle point at (0,0) if -6<m<6, Of will have a local maximum at (0,0) if m=±6, The test is inconclusive if m<6 or m>-6. f will have a saddle point at (0,0) if m>6 or m<-6, f will have a local maximum at (0,0) if -6<m<6, | The test is inconclusive if m=±6.
Transcribed Image Text:For what values of the constant m does the Second Derivative Test guarantee that f(x,y) = - 3x² + mxy-3y2 will have a saddle point at (0,0)? A local maximum at (0, 0) ? For what values of m is the Second Derivative Test inconclusive? f will have a saddle point at (0,0) if m=±6, f will have a local maximum at (0,0) if -6<m<6, The test is inconclusive if m>6 or m<-6. f will have a saddle point at (0,0) if m=±6, fwill have a local maximum at (0,0) if m>6 6 m<-6 The test is inconclusive if -6<m<6. f will have a saddle point at (0,0) if -6<m<6, Of will have a local maximum at (0,0) if m=±6, The test is inconclusive if m<6 or m>-6. f will have a saddle point at (0,0) if m>6 or m<-6, f will have a local maximum at (0,0) if -6<m<6, | The test is inconclusive if m=±6.
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