As always I limited myself to a trusty Casio calculator and used only techniques taught at year 13.
Some of these questions could have been answered differently using more advanced techniques.
I'm not a big fan of complex number analysis, I don't use them in my professional life as a mathematician.
How I'd answer.
This was a really long part (14 pages) for something supposed to take 60 minutes. Some of the question were quite tasty, so you'd be in trouble if you chose the wrong option when answering.
As always I've used a trusty Casio calculator and limited myself to methods taught at year 13, so no use of integration by parts etc
I've used the tables and formula given whenever possible.
All in all a pretty fair introduction to differential calculus exam. Could possibly place students with only 1 hour to answer under a bit of time pressure, especially with the last question, but pretty good.
Here's the complex numbers paper from the 2023 NCEA 3 calculus paper.
All in all a fair exam. A few things students would need to know, such as the remainder theorem. I did find myself going down the odd rabbit hole in the later questions.
Some of my old students might recognise those function machines!
