HSC Stuff > HSC Mathematics Extension 2
4U Maths Question Thread
RuiAce:
katherine123:
hi how do u integrate (x+1)/(x^2+x+1)^1/2
RuiAce:
--- Quote from: katherine123 on February 19, 2016, 05:27:21 pm ---hi how do u integrate (x+1)/(x^2+x+1)^1/2
--- End quote ---
RuiAce:
Neutron:
Hello! Me again :P Heh so I was trying to complete some 4U curve sketching when I came across a few silly problems I realised I haven't fully understood. The question is as follows:
Sketch the graph of y=lxl-lx-4l . Use this graph to solve the inequality lxl-lx-4l>2
So I managed to sketch it by plotting points and I was wondering whether there's an easier method? Like how would you know whether the absolute value graph resembles a backwards Z like this one or one that looks more like \_/ ? And secondly, I tried solving
2=|x|-|x-4| to find the x coordinate but I kept getting the answer as -1 when the real answer is 3.. Could you please show me how to solve these equations ^^'' heh sorry this is kinda dumb
Neutron
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