Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Let [F colon real numbers squared rightwards arrow real numbers squared] be the function defined by [F left parenthesis x comma y right parenthesis equals open parentheses # f1 comma # f2 close parentheses] Choose the true statement (there may be more than one) : [F] admits local inverse in a neighbourhood of the origin; The function admits a global inverse if the domain is [real numbers squared]; The function admits a global inverse if the domain is [real numbers cross times open square brackets negative pi comma pi close square brackets]; [dF to the power of negative 1 end exponent open parentheses 0 comma 0 close parentheses equals # m]; The Taylor polynomial of second order for the function [F subscript 1 left parenthesis x comma y right parenthesis equals # f1] at the point (1,0) is [P subscript 2 left parenthesis x comma y right parenthesis equals # sol]
Right answer summary: [F] admits local inverse in a neighbourhood of the origin; The Taylor polynomial of second order for the function [F subscript 1 left parenthesis x comma y right parenthesis equals # f1] at the point (1,0) is [P subscript 2 left parenthesis x comma y right parenthesis equals # sol]
Question state: todo