Recent content by taggs-sasuke

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    Mathematics Marathon HSC 09

    No, it isn't. Apparently the domain is supposed to be determined by the sinx. But don't worry about it, anom1ly!
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    Mathematics Extension 1 Marathon HSC 09

    HSC 2006 6 (a) (ii) L^2 = 2V^2(1-sin@)t^2 - 2aVcos@t + a^2 The right hand side of L^2 is a quadratic in t, which has a minimum value since 2V^2(1-sin@) > 0 for 0 < @ < pi/2. My question is how?
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    Mathematics Marathon HSC 09

    The answer is -1 is less than or equal to x is less than or equal to 1. :(
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    Mathematics Marathon HSC 09

    Find the domain of f(x)=x(inverse sinx).
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    Mathematics Marathon HSC 09

    How is sin2@ = 2tan@ / 1 - tan^2 (@)?
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    Mathematics Marathon HSC 09

    Thank you raniaaa! I had R = 0 (because R = dV/dt, right?). But it makes sense to use dR/dt = 0. Oh, and it's pi, not pie. Whoops. Haha.
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    Mathematics Marathon HSC 09

    Here's an easier question (that I can't solve): Water flows into and out of a tank at a rate (in litres/hour) given by R = 2 pie sin(pie t). If the tank is initially empty at 10am, find the first time (after 10am) when the tank is filling at its greatest rate. The answer is 10:30am...
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    Binomial

    Thanks guys! So it's NOT (-1)^n BUT x^(n+1)! I thought so!
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    Binomial

    Hi! Can I please have some help with the below? When you integrate nCn x^n, is it nCn [ (-1)^n / (n+1) ]? And, if so, how did you get it? Also, is nC2 = [ n(n-1) / 2 ]? Again, if so, how did you get it? Thank you! :)
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    Ngaw, thanks for that!

    Ngaw, thanks for that!
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    Integration

    A quick question: Integrate sin(x)cos^2(x) dx Thanks!
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    The Reading Recommendations Thread

    Visit: Complete list of Chick cartoon gospel tracts Young Foundations :)
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    The Bible

    Thanks! :)
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    The Bible

    Non-fiction.
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    The Bible

    For God so loved the world, that he gave His only Son, that whoever believes in Him should not perish but have eternal life. For God did not send His Son into the world to condemn the world, but in order that the world might be saved through Him. (John 3:16-17) Jesus Christ sacrificed Himself...
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