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Series is a GP, with a = √12 and r = 1/√2. Progression is infinite - there's no "last" term - so use limiting sum formula. S∞ = a/(1 – r) = √12 / (1 – 1/√2) = √12 / (√2/√2 – 1/√2) = √12 / ((√2 – 1)/√2) = √12 x (√2/(√2 – 1) = 2√6/(√2 – 1) = 2√6(√2+1)/(√2–1)(√2+1) = 2√6(√2+1)/(2–1) = 2√6(√2+1) y...

Try this. Let me know of any errors.

Yeah, this is well outside the General Course.

Yeah, that's the standard textbook or teacher method. If you can do it, that's the best way, but many students seems to stuff up that first step somewhere.

It's part of the syllabus in the M6 topic on non-right angled triangles. It's probably more important to know how to deal with obtuse angles as part of the sine or cosine rule.

Provided your working was excellent and that the transcription error could be clearly seen, you'd get the full marks. If you just wrote down the answer (2x + 3)(x - 4) you get no marks. As they used to put on the front of every exam, marks may not be awarded for careless or badly arranged work.

Came across this exam paper while going through a dusty cardboard box. Some of the questions are no longer in the course, but some are worth having a try. See how you go.

Well my local member is the leader of the opposition, so I'll be voting Labor, especially now.

Remember that the five-number summary means Minimum, 1st Quartile, Median, 3rd Quartile and Maximum. And these are the five marks that you need for a box and whisker plot. So the box goes from the 1st quartile to the 3rd quartile, 25% to 75%, so it is the middle 50%.

I always do Simmo's Rule or Trap Rule by using tables. x f(x) W P 1 0.0000 1 0.0000 2.5 0.4285 4 1.7142 4 0.6000 2 1.2000 5.5 0.6923 4 2.7692 7 0.7500 1 0.7500 Sum of P column = 6.4332 Then Integral = 1/3...

Just think of listing all the possibilities. S,S S,Ch S,Ca Ch,S Ch,Ch Ch,Ca Ca,S Ca,Ch Ca,Ch Clearly, there is only one way of getting S,Ch, so the probability is 1/9. However, is the question restricted so that it's not possible to have two scoops of the same flavour. In that case, delete...

Get a Mac!

Equation is: (2x – 5)/3 – 2 = (3x + 2)/5 What I would do first is get all the fractions on to one side. Add 2 to both sides, then subtract the fraction on the right from both sides. (2x – 5)/3 – (3x + 2)/5 = 2 Now look for a common denominator on the left. It's 15, so change both the...

Isn't that what it says? Ta. :)

Rules for Significant Figures: 1. All non-zero digits are significant. 2. The first non-zero digit is the first significant figure. 3. All zeros after the first significant figure are also significant. 4. Trailing zeros may or may not be significant. For example: The population of Australia is...

I'd suggest to stick with 365 days in a year and 52 weeks in a year. If they want you to use 365.25 or 52.14 or 52.18 they'll say so. The only thing to remember is that if you need to convert months to weeks, DON'T multiply by 4 or 4.5 or anything like that. It's too rough. To convert months to...

There are few codes you might come across. CNE = Correct Numerical Expression This means that you'll get the full mark for an expression which works out to give the correct answer. For example, if the correct answer to a trig question is 19.41 m, and you write 24 sin 54, you may get the mark...

A = l(l – 6)

I'm not a nerd!

Use the product rule. d/dx[x9(7 – 4x)] = x9.d/dx[7 – 4x] + (7 – 4x).d/dx[x9] = x9.(–4) + (7 – 4x).9x8 = –4x9 + 9x8(7 – 4x) = –4x9 + 63x8 – 36x9 = 63x8 – 40x9