Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Given the quadric defined by the equation [# f equals 0] a) The equation defines a _____ (Choose between ellipsoid, cone, one_sheet_hyperboloid, two_sheets_hyperboloid, hyperbolic_paraboloid, elliptic_paraboloid, cilinder ) b) The condition for defining [z] as an implicit function of [Error converting from MathML to accessible text.] in a neighbourhood of a certain point [open parentheses x0 comma y0 comma z0 close parentheses] is: {z0 must be nonnegative; z0 must be positive; z0 can be zero; Any z0 real; z0 must be nonzero} c) The normal vector to the quadric at the point [open parentheses x0 comma y0 comma z0 close parentheses] is [v equals left parenthesis] _____, _____, _____ [right parenthesis]
Right answer summary: part 1: ellipsoid; part 2: z0 must be nonzero; part 3: -4·x0/(9·z0); part 4: -16·y0/z0; part 5: -1
Question state: todo