scaryshark09
∞∆ who let 'em cook dis long ∆∞
- Joined
- Oct 20, 2022
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- HSC
- 1999
- The derivative can never be negative because siny>=-1. This makes C impossibleView attachment 40688
can someone also please explain this?
for this question i basically just made sample graphs lolView attachment 40685
the answer is D but i got get how
like take y=x^2 as an example. the function and the inverse would intersect at x=0 and x=1
at x=0 the tangents would be perpendicular, right??
this question worst case scenario u can just use ur calc and test points. U realise that as y-> a big value, dy/dx -> 0+. U can immediately rule out a,c, d. But if u want the 'proper' way, carrots gives a great definition. (this is just to point out that in an exam u can still manage the get the mark, despite not being 100% sure )View attachment 40688
can someone also please explain this?
A function and its inverse must meet on y = x, but if a function is its own inverse (like for xy = 1 or y = -x) it will meet itself at every point in its domain.View attachment 40685
the answer is D but i got get how
like take y=x^2 as an example. the function and the inverse would intersect at x=0 and x=1
at x=0 the tangents would be perpendicular, right??
Someone explained a good way of doing it by deduction above. Another way (which I wish I realised when I actually did this question in the HSC) is to seperate the differential equation and find . It's not as hard as it looks - there is a way to do this using an extension 2 technique, as well as a way with extension 1 theory alone, which I'll leave as an exercise to you.View attachment 40688
can someone also please explain this?