HSC Mathematics Extension 2Practice Examination 19

This paper covers

• Complex numbers — roots of unity to factorise/sum, Euler-form power reduction, geometry of iz rotation, polar division, region Re(z) > Im(z) — ~30 marks
• Proof & further integration — contrapositive & converse logic, irrationality by contradiction, geometric induction (polygon exterior angles), recurrence by induction, by-parts with ln, partial fractions — ~36 marks
• Vectors & mechanics — 3D line intersection & point test, dot-product angle, linear resisted motion (resistance ∝ v) with v(x), projectile onto an inclined plane — ~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.