Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Let us consider the function [g colon real numbers squared rightwards arrow real numbers squared], [g element of C to the power of 1 open parentheses real numbers squared close parentheses] which complies that [g open parentheses 0 comma 0 close parentheses equals # a] , and the surface [S] defined by the equation [xz cubed plus zg left parenthesis x comma y right parenthesis equals x to the power of # b plus y to the power of # b plus z squared]. Knowing that this equation defines [z equals z left parenthesis x comma y right parenthesis] in a neighbourhood of the point [open parentheses 0 comma 0 comma # a close parentheses], the conditions that must meet the differential of [g] in order to [z left parenthesis x comma y right parenthesis] has a critical point at the origin. The solution must be expressed according to the following criteria [Error converting from MathML to accessible text.] [Error converting from MathML to accessible text.]
Right answer summary: The content can not be displayed.
Question state: todo