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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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    Integration

    A quick question: Integrate sin(x)cos^2(x) dx 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

    Can I please have help with this question? (Thank you!) 1. 2004 3(b) Question: P(x) = (x+1)(x-3)Q(x) + 3(x+1) - 11 What is the remainder when P(x) is divided by (x+1)(x-3)? Answer: The remainder is 3(x+1) - 11 - but why?
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    HSC Multiple Choice

    <meta http-equiv="Content-Type" content="text/html; charset=utf-8"><meta name="ProgId" content="Word.Document"><meta name="Generator" content="Microsoft Word 11"><meta name="Originator" content="Microsoft Word 11"><link rel="File-List"...
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    Show that

    I'm sorry if it's really easy but can someone please explain the answer to me? Show that: %5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7B1%7D%7B2%7Dv%5E2%29=%20%5Cfrac%7Bd%5E2x%7D%7Bdt%5E2%7D Answer...
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    HSC past questions

    Can I please have some help with these questions? - Examine how human rights and the notion of equality may be linked. (2 marks) - Account for the growth of human rights internationally. (3 marks) Thanks! :)
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    They long to belong

    Hi. Can you please provide me with feedback on my (dodgy) attempt to answer questions on a text that deals with belonging? Thank you! They long to belong Bill Austen Recent surveys have discovered that one in four Australians don’t feel socially at ease when they go into gatherings...
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    Binomial Theorem

    Can you please help me with this question? I'm sorry if it's really easy but I'm in the process of learning this topic and I can't do it. Find the expansion of (1+2x+3x^2)^5 in ascending powers of x up to x^3. Thanks :)
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    Simple Harmonic Motion

    Can you please explain this to me? I'm learning Simple Harmonic Motion and I'm stuck... x = acos(nt + @) v = -ansin(nt + @) So: x^2 + v^2/n^2 = a^2cos^2(nt + @) + a^2sin^2(nt + @) = a^2 But where did a^2 come from? Thanks!
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    Effectiveness

    Hi. How do you evaluate the effectiveness of the law? Do you just elaborate on the content in the textbook under the heading 'Effectiveness of Consumer law'? (using Consumers as an example) Or do you synthesise everything in the Consumers topic using the criteria to structure your evaluation...
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    Excel HSC Legal Studies

    Excel HSC Legal Studies Completely Revised Edition Belinda Brassil doesn't have Human Rights, does it?
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    Rates of change

    I need help with this question: A ladder AB, 5m long is leaning against a vertical wall with its foot on horizontal ground OB. The foot of the ladder begins to slide along the ground away from the wall at a constant speed of 1 m/s. Find the speed at which the top of the ladder AB is moving...
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    Related text

    I posted something similar in The Reading Room (http://community.boredofstudies.org/201/reading-room/210600/holocaust.html) but I thought I'd post it here: Does anyone know of anything (books, poetry, feature articles, film) which provide a conflicting perspective to the generally accepted...
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    Holocaust

    To all you bookworms :) I'm searching for anything (including books) which provide a conflicting perspective to the generally accepted view of the Holocaust (e.g. all Nazis are evil). For example, I've got The Reader. But I also want to look at others. So. if you know of any. please tell...
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    Circle Geometry

    Hello... I have no idea how to prove the part in BOLD: O and C are the centres of two circles which intersect at A and B. (AB is the common chord.) Prove triangleOAC is congruent to triangleOBC Prove angleAOZ is equal to angleBOZ and hence prove that the line of centres OC bisects the...
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    Series Applications

    Hey (again). Can someone please help me with these questions? Thanks!!! 1. A body is moving in a straight line. In the 1st second it travels 4.9m, in the 2nd second 7.35m, in the third second 9.8m, and so on. (a) How far does it travel in the 7th second? Answer: 19.6m (b) What is the total...
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    1972 Polynomials

    Hey. Can someone please help me with this question? I have the solutions but I don't understand them. My questions are in bold. Thank you! A function f is called odd if f(-x) = -f(x) for all x. (i) Prove that every odd function is zero at x=0 f(-x) = -f(x) for all x therefore f(0) = -f(0)...
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    Polynomials (again)

    Hey, this time I can't get the answer provided in the solutions. The question is: Calculate the values of p, q, r, s in order that 2x^3 +4x^2 + 5x + 6 and p(x-1)^3 + q(x-1)^2 + r(x-1) + s specify the same polynomial. The answer is: p=2, q=10, r=19, s=17 I have different...
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