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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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    The Bible

    Good question. :) Jesus Christ healed an invalid, who picked up his mat and walked and so the Jews said to the man who had been healed, "It is the Sabbath; the law forbids you to carry your mat." (John 5:10) Jesus Christ replied: Now if a child can be circumcised on the Sabbath so that the...
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    Quick Balance of Payments Question

    Oh yeah. Thanks...
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    Quick Questions

    Hey, I have two quick questions. 1. Why is it when the Australian exchange rate decreases, Australian interest rates also decrease? 2. If the present rate of unemployment equals the natural rate of unemployment, why is it that cyclical unemployment must equal zero? Thanks :)
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    Quick Balance of Payments Question

    Balance on goods and services - 16 Net transfers - 2 Net income - ? Capital account - 17 Financial account - 13 What is the value of Net income for this economy? a. 48 b. 30 c. 12 d. 30 I thought it was C but the answer is A - some help please? Source: Board of Studies Online Multiple Choice...
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    Questions

    Thank you.
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