HSC Mathematics Extension 2Practice Examination 13

This paper covers

• Complex numbers — exponential form, De Moivre for sin/cos powers, nth roots of a complex number, loci & regions — ~30 marks
• Further integration & proof — t-substitution, partial fractions with repeated factor, reduction by parts, induction (recursive & inequality), contradiction — ~36 marks
• Vectors & mechanics — 3D lines (closest approach), spheres, SHM from a graph, resisted vertical motion downward, projectile with unknown angle — ~34 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.