2023 HSC Mathematics Extension 1 Worked Solutions

Work through the 2023 HSC Mathematics Extension 1 Examination with me! Complete worked solutions and explanations from Mindy at Apex Tutoring. www.apextutoring.com.au

Download the written solutions from this video! https://www.dropbox.com/scl/fi/0hwgea...

While the solutions are my own work, the paper, including the questions and diagrams, are copyright NSW Education Standards Authority. (2023). Higher School Certificate Examination Mathematics Extension 1. Retrieved from https://educationstandards.nsw.edu.au...

0:00 Intro
0:17 Question 1 - Modified exponential growth and decay
1:07 Question 2 - Probability, sample proportion
1:53 Question 3 - Differential equations, direction field
2:34 Question 4 - Integration, area between curves
4:01 Question 5 - Inverse trigonometric functions
5:18 Question 6 - Vectors, projections
8:00 Question 7 - Functions, inverse functions
11:20 Question 8 - Function transformations, absolute value functions
13:19 Question 9 - Function transformations, inverse relations
17:43 Question 10 - Combinatorics, circle arrangements
19:28 Question 11a - Parametric equations
20:17 Question 11b - Combinatorics
21:18 Question 11c - Polynomials, factor and remainder theorems
23:07 Question 11d - Integration, inverse trigonometric functions
24:17 Question 11e - Trigonometric equations, auxiliary angle method
27:41 Question 11f - Probability, sample proportion, normal approximation
30:38 Question 12a - Integration, u-substitution
32:13 Question 12b - Proof, mathematical induction
35:13 Question 12c - Probability, binomial probability
37:47 Question 12d - Combinatorics, combinatorial identities
39:48 Question 12e - Integration, volume of solid of revolution
43:33 Question 13a - Applications of differentiation, related rates
51:34 Question 13b - Vectors, projectile motion
59:06 Question 14a - Inverse relations, differentiation
1:01:12 Question 14b - Polynomials, simultaneous equations, differentiation
1:04:40 Question 14c - Vectors, geometric proof, optimisation