This problem is about the function S(x. y. 2, w) = a cos x+a cos y+a...

 

Transcribed Image Text:

This problem is about the function S(x. y. 2, w) = a cos x+a cos y+a cos z+a cos w + xy + yz + zuw which is a function of four variables, and it has a ontical point at x = y = = w =0 this is obvious, you do not need to verty ). A. Ciananity the oritical point, assuming a=0. B. Ciasaity the crtical pont, ansuming a= 1/2. C. Classity the crtical point. assuming a=1. D. Classity the ortical point, assuming a= v2. E Clansity the ortical point, assuming a2 FDetermine the values of a for which the second derivative test fais, at the given critcal point. This problem is about the function S(x. y. 2, w) = a cos x+a cos y+a cos z+a cos w + xy + yz + zuw which is a function of four variables, and it has a ontical point at x = y = = w =0 this is obvious, you do not need to verty ). A. Ciananity the oritical point, assuming a=0. B. Ciasaity the crtical pont, ansuming a= 1/2. C. Classity the crtical point. assuming a=1. D. Classity the ortical point, assuming a= v2. E Clansity the ortical point, assuming a2 FDetermine the values of a for which the second derivative test fais, at the given critcal point.