Behaviour being used: Adaptive mode
Minimum fraction: 0
Question summary: Consider the following system of equations, defined in a proper domain [open curly brackets table row cell # f1 equals 0 end cell row cell # f2 equals e to the power of alpha end cell end table close] a) Find the value of [alpha] for which the system defines [Error converting from MathML to accessible text.] in a neighbourhood of the point [Error converting from MathML to accessible text.]: _____ b) The value of [Error converting from MathML to accessible text.] in a neighbourhood of the point [Error converting from MathML to accessible text.] are respectively _____ and _____ c) Let C be the curve defined by [Error converting from MathML to accessible text.], being [Error converting from MathML to accessible text.] the aforementioned implicit functions. The equation of the normal plane to the tangent line of C at the point [Error converting from MathML to accessible text.] is _____ x+_____y+_____z = 1 d) Let [F] be the function [Error converting from MathML to accessible text.] The determinant of the differential matrix associated to [Error converting from MathML to accessible text.] in a neighbourhood of the point [Error converting from MathML to accessible text.]is: _____
Right answer summary: part 1: 2; part 2: -6; part 3: -4; part 4: -3/5; part 5: 1/10; part 6: -2/5; part 7: 1/2
Question state: todo