Search results

Adding a little bit of eggplant also makes it much more tasty :)

gets awkward when @ekman decides to get tomato and bbq sauce on his hsp #neverforget #neverforgive

sik inv

It doesn't represent a mixture. It represents an actual compound with a definite ratio of constituent parts.

+1 for Spivak. Read some of it during my HSC year, found it really good/interesting. (And am currently using (and loving) it now that I'm actually doing uni maths)

Out of the two, Ideas is defs the one which has more difficult concepts (lots of Quanta is just content to memorise rather than concepts to understand), so perhaps Ideas

Re: First Year Uni Calculus Marathon A1: $Define a new function $h(x) = f(x) - rg(x)$ such that $h(a) = h(b)$: $$f(a) - rg(a) = f(b) - rg(b)$ \Rightarrow r = \frac{f(a) - f(b)}{g(a) - g(b)} $ \therefore h(x) = f(x) - \frac{f(a) - f(b)}{g(a) - g(b)} g(x)$ $$h$ is continuous on...

Re: First Year Uni Calculus Marathon Do you have any hints as to what the 'suitably chosen function' is? I'm struggling to find it

Same

Re: HSC 2016 3U Marathon

I reckon by the time it's October you might be happy that they're all packed together - means you get them over and done with sooner.

Re: HSC 2016 4U Marathon

It's part of the geometric definition of the dot product.

Re: HSC 2016 3U Marathon Use Pythagoras' theorem to find half the length of the chord, then double your answer.

Literally the opening paragraph of ml125's autobiography

Re: First Year Uni Calculus Marathon \lim_{x \rightarrow 0} \left(\frac{1+\tan{x}}{1+\sin{x}}\right)^{\frac{1}{\sin{x}}}

+1 Why wouldn't they teach it?

It's more correct to say that the gravitational force supplies a centripetal force, allowing the orbiting object to undergo circular motion. (Note: (I'm not accusing you of this necessarily but it might help) it's a very common trap for students to think that when an object is undergoing...

Re: First Year Uni Calculus Marathon Also, regarding your proof, I think you need to the read the question again. (Particularly the definition of f(x))

Re: First Year Uni Calculus Marathon Part 1 (not a very rigorous proof, though): $As $x\rightarrow \infty $, $x^3 + 1 \rightarrow x^3 $As $x\rightarrow \infty $, $x^2 + 1 \rightarrow x^2 $Thus, $ \lim_{x \rightarrow \infty} \frac{\ln (x^3 + 1)}{\ln (x^2 + 1)} =...