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For example if you're given a graph with a vertical asymptote and asked to sketch y = 1/f(x), is this graph defined for the asymptote? I was marked down in my trial for putting an open circle on this kind of question and my teacher told me 1/(undefined) was equal to zero. But the past HSC...

I feel stoopid after staring at this for an hour. So productively I'll put it on here :D It's from the fitzpatrick textbook. Using cartesian coordinates, show that the sum of the distances from any point P on the ellipse x^2 / a^2 + y^2 / b^2 = 1 to the foci is equal to 2a. I have no...