The following is our second WitCH from the 2021 NHT Methods Exam 2.
Just a quick word of advice to VCE students: don’t take any psychedelics before your maths exams. You’ll be in for a very bad trip.
The question is nuts, of course, and is more of a PoSWW than a WitCH. In principle, including extraneous information in a question is fine, but this is not the way to do it. Moreover, if you’re gonna do it then you gotta know your limitations.
Using “repeated root” in this context is absurd, since the expression only makes sense for polynomials (and, after VCE, for suitably polynomial-like functions). (05/09/21 – “zeroes” not “roots”.) The expression “continuous and differentiable” is also absurd, since a differentiable function is automatically continuous. Finally, the lurking Mr. Big pointed out how helpful it was for the question to specify that a and b are real, saving students precious time that would have been wasted considering the alternatives.