HSC Mathematics Extension 2Practice Examination 20

This paper covers

• Complex numbers — complex-coefficient quadratic by square roots, De Moivre power of a complex number, exponential-form product, locus |z−a| = |z−b| & argument wedge, parallelogram law — ~31 marks
• Proof & further integration — implication vs equivalence, triangle inequality, induction proof of the binomial theorem, reduction formula for ∫xⁿe^ax, trig substitution — ~36 marks
• Vectors & mechanics — vector proof that the diagonals of a parallelogram bisect each other, sphere & midpoint, SHM established from x = a cos(nt+α) with energy, resisted vertical motion upward (resistance ∝ v²) — ~33 marks

Students are permitted to bring into the examination the materials normally allowed for this subject. Answer all questions in the spaces provided.

This is an ATARMAxxing practice paper. It is not an official examination and is not affiliated with, endorsed by, or produced by the VCAA, NESA or the QCAA.