I will let you in on a little secret: I love doing math homework. Always have, always will. I love the process. I love reading the problems, thinking of solutions, and checking the questions off one by one. Even when it’s easy, it’s still fun.
Just for fun I’ve gone back to my old high school math textbooks. I’m skipping years 7 and 8 and starting with year 9. Then I will do 10, 11, and 12, at the highest level.
The “HSC” in Australia is the “High School Certificate” which you get when you graduate high school. In order to do that you have to take the final exam, known as the “HSC exam”, or simply the “HSC”.
When I did the HSC 24 odd years ago the top level maths course (which I took) was called “4 Unit Maths”, whereas these days the top level course is now called “Maths Extension 2”. I expect the difficulty increased over the decades too.
Here’s the hardest question from this year’s Maths Extension 2 HSC paper:
In this video I use a 100W 6Ω resistor to test my Riden RD6006 power supply at various voltages from 1V to 18V up to a maximum power of 54W.
I should note that in this video I tried to draw 54W of power from the power supply, but the power supply is only rated up to 45W so I probably shouldn’t have done that, and won’t have any reason to ever do that again, I was just testing the maximum. So maybe don’t do that at home. :)