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This thread made me want to learn cyclic expansion & factorisation. Still new, it's hard to find information about it online.. Unsure if the way i set out the solution is correct or not.. $2) Let $ f(a, b, c) = (a + b + c)^3 - (b + c - a)^3 - (c + a - b)^3 - (a + b - c)^3 f(b, a, c) = (a + b...

I tried it myself, can't convert it lol.

Silly question seeing as you can't get the fraction form in your calculator.. For probability, take your time and think about the question carefully. Consider what you need to find, and take it step by step. Keep practising questions!

b) P(2nd prize only) = 4980/5000 x 20/4999 Multiply probability of not winning anything on first draw but winning on second c) P(neither first nor second prize) = 4980/5000 x 4979/4999 Multiply probability of not winning anything on first and second draw

Is there only 1st and 2nd prize?

c) P(one prize) = 4/100 x 96/99 + 96/100 x 4/99 = 64/825 Found by considering the two cases where he wins one and doesn't win the other and vice versa d) P(no prizes) = 96/100 x 95/99 = 152/165 Multiplying his probability of not drawing his tickets from first and second draw e) P(at least one...

If they do not provide a y value, sub the x value in to the equation of the curve to get it. E.g. y = log(x - 1) At x = 2, y = log(2 - 1) = log(1) = 0 Therefore the point is (2, 0) Then you find the gradient of the tangent/normal, and use that point to determine the equation of the...

Take out the constant. \int \frac{3}{4(x + 3)} dx = \frac{3}{4} \int \frac{1}{x + 3} dx = \frac{3}{4}ln|x + 3| + c

$Let the other two sides be $ a, \; a + d$ $Note that the hypotenuse is $ a + 2d $ as it is the longest side$ \therefore a + 2d = 15 a^2 + (a + d)^2 = 15^2 $Subbing a = 15 - 2d$ (15 - 2d)^2 + (15 - d)^2 = 225 225 - 60d + 4d^2 + 225 - 30d + d^2 = 225 5d^2 -90d + 225 = 0 d^2 - 18d + 45 = 0...

Frame of reference.

No i'm not saying that. From the frame of reference on Earth, the difference on time between the Earth and the plane is evident by Einstein's theory of special relativity stating that the moving clock will tick slower. However, from the frame of reference on the plane, moving at a constant...

I thought neither would be wrong? All frames of reference are accounted for and so they are both valid..

Harry rushes through the easier topics but when it gets to a tough/important concept, he takes his time.

That depends on the school.

Here's another one. A mixture can be broken down or separated in to it's components by physical means (i.e. filtration, distillation etc.)

Everything. 3 unit course syllabus was written by the Board of Studies who writes the HSC exams based on the syllabus.

Yes you do need related texts with the prescribed text. Minimum of 1. There is a list of them online but you need to ask your school what your class will be doing.

Latin from what i have heard.

Studying includes doing your homework (counts revising and reinforcing knowledge). Yes, reading over what you did in class is good, better yet, make syllabus dot point notes for your science subjects. For maths, simply reading over your notes is not enough. Doing questions and applying your...

Excel MX2 Patel.