2022 HSC Mathematics Extension 2 Worked Solutions

Work through the 2022 HSC Mathematics Extension 2 Examination with me! Complete worked solutions and explanations from Mindy at Apex Tutoring. www.apextutoring.com.au

Note: There is a slight misspeak in Question 13 (c) (ii), when I say "z is a solution," I should say "z plus one over z is a solution"

Download the written solutions from this video! https://www.dropbox.com/scl/fi/38kssr...

While the solutions are my own work, the paper, including the questions and diagrams, are copyright NSW Education Standards Authority. (2022). Higher School Certificate Examination Mathematics Extension 2. Retrieved from https://educationstandards.nsw.edu.au...

00:00 Intro
00:19 Question 1 - Complex numbers, argand plane
01:45 Question 2 - Proof
03:52 Question 3 - Vectors, proof, logic
06:57 Question 4 - Integration methods, partial fractions
09:05 Question 5 - Integration methods, integration by parts, Fundamental Theorem of Calculus
11:20 Question 6 - Complex numbers
15:23 Question 7 - Proof, logic
19:13 Question 8 - Mechanics, projectile motion, vectors
21:29 Question 9 - 3-dimensional vectors
26:34 Question 10 - Mechanics, resisted motion
28:41 Question 11a - Complex numbers
30:37 Question 11b - Integration techniques, trigonometric integrals
31:50 Question 11c - Complex numbers, de Moivre's Theorem
37:58 Question 11d - 3-dimensional vectors
41:50 Question 11e - Vector definition of a line
43:13 Question 11f - Integration techniques, t-formulas
46:14 Question 12a - Proof, inequalities
47:13 Question 12b - Mechanics
49:29 Question 12c - Mechanics, resisted motion
52:21 Question 12d - Integration techniques, partial fractions
57:37 Question 12e - Complex numbers
1:00:07 Question 13a - Proof, logic, prime numbers
1:02:01 Question 13b - Proof, mathematical induction
1:07:22 Question 13c - Complex numbers, roots, trigonometric results
1:14:54 Question 14a - Vectors, geometric proof
1:26:05 Question 14b - Integration techniques, reduction formulas, proof, mathematical induction
1:37:18 Question 15a - Mechanics, forces
1:44:05 Question 15b - Mechanics, simple harmonic motion
1:47:09 Question 15c - Integration techniques, trigonometric substitution
1:53:21 Question 15d - Complex numbers, proof, inequalities
1:57:32 Question 16a - Complex numbers, argand plane
2:02:11 Question 16b - Mechanics, projectile motion, resisted motion
2:15:49 Question 16c - Proof, inequalities
2:19:31 Question 16d - Complex numbers