logistic_guy
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here is the question
Prove that S:(x2+y2)2+3z2=1 is a surface.
Definition
math.stackexchange.com
if i take gradient of the function and set it to zero i get x=y=z=0. do this proof it is surface? if yes i don't see how. if no, how to proof?
Prove that S:(x2+y2)2+3z2=1 is a surface.
Definition

definition of differentiability on a regular surface
all. I am studying the book "Differential Geometry of Curves and Surfaces" written by do Carmo, and there is one thing that confuses me so much: In his book, a regular surface refers to a subset o...
if i take gradient of the function and set it to zero i get x=y=z=0. do this proof it is surface? if yes i don't see how. if no, how to proof?