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Re: MX2 2015 Integration Marathon Question: http://imgur.com/r357wc1

I think it'd be better to say since -1 < x < 1 then x^(infinity) approaches zero

The rule is to make the top look like the derivative of the bottom. \int \frac{x}{x^2 - 3x + 4} dx $ Notice that the derivative of the bottom is $ 2x-3 $ So firstly, put a $ '2' $ in front of the x $ $ but if you times it by two, you must divide by 2 to not change the question $...

Re: 2015 permutation X2 marathon What do you mean?

Re: 2015 permutation X2 marathon Why does doing total - vowels together not get the same answer? total together = 12!/(2!2!) vowels together = 5!/(2!2!) * 8! not together =

for the lulz

Wouldn't it just be a cone, as specified by the question? $ V = $\frac{1}{3}\pi r^2 h,$ where $r = \frac{h}{2}

Re: 2015 permutation X2 marathon dunno if this is MX2 and I don't have the answer lol, just saw this somewhere https://i.imgur.com/0YFCJhC.jpg

Re: HSC 2015 3U Marathon And the definition: ^{n}C_{r} = \frac{n!}{(n-r)!r!} ^{n}C_{0} = \frac{n!}{(n-0)!0!} = 1

Re: 2015 permutation X2 marathon I don't think the condition matters does it? Since theres four possibilities (boy girl) (girl boy) (boy boy) (girl girl) Then its 1/4 But id still think it is 1/2....

Re: 2015 permutation X2 marathon wouldn't the sample space decrease whenw e pick the second one? since there's one less

Re: 2015 permutation X2 marathon Is it \frac{a}{a+b} * \frac{a-1}{a+b-1} + \frac{b}{a+b} * \frac{a}{a+b-1} lol probs wrong

How about if instead of the absorption graph, it was replaced with an emission spectrum graph?

If an object has almost 100% absorption within the red light wavelength range, and 0% within the green light wavelength range, would we predict the object to have a red colour or a green colour?

Re: 2015 permutation X2 marathon Find the number of selections of 4 letters from the word APPLES answer: 11 b) How many 4 letter words can be made from the letters of the word APPLES answer: 192

Try to imagine the sides PH and QH going "up" the 3d plane. The paint drawing is hard to represent it http://imgur.com/69IO4bu

$ Draw typical 3d diagram, with a diagonal line representing south to north and and horizontal line representing east to west $ $ Label the base of the flag pole (where those two lines meet) as O and the top of the flag pole as H$ $ Label P to on the left side of the horizontal line (as it...

Re: HSC 2015 3U Marathon f(x) = x^2 + \frac{1}{x} $ For zeroes, let $ f(x) = 0 x^2 = -\frac{1}{x} x = -1 . f'(x) = 2x - \frac{1}{x^{2}} $ For stationary points, let $ f'(x) = 0 x = (\frac{1}{2}) ^{\frac{1}{3}} y = ... ( $ sub into f(x) $) f'(x) = \frac{2x^3 - 1}{x^2 }...

Re: 2015 permutation X2 marathon Five women and four men are to be seated at a round table. (i) In how many ways may this be done without restrictions? answer: 40320 (ii) In how many ways may this be done if no two men are to be seated together? answer: 2880 (iii) If one man and...

Re: 2015 permutation X2 marathon 11 men are waiting at a barber. Three men in particular, A,B,C do not want to sit next to each other. How many ways are possible? answer: 20321280