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dammit ! read the thread title ! :P

divide through by x^2 since x != 0 then use some incredibly sexy complex results (let x = cis @)

not in any great detail :P but the three types are: 1. a typical slices question, ie. blah is rotated around the x-axis, use slices to calc volume 2. a typical shells question, ie. blah is rotated around the x-axis, use shells to calc volume 3. a slices question where they give you...

housemouse, may i suggest you ask a tutor to explain volumes to you for 30 minutes. there is basically only 3 types of questions. know how to do those 3, and you're guaranteeing yourself a fair few marks since they usually stick 2 volumes questions in.

I think this is a really cool way to do it. CLICK ME

1. since x - y > 1 x - 1 > y ---(1) and (x-1)! > y! ---(2) combining (1) and (2): (x-1)! . (x-1) > y! . y (x-1)! . (x-1) > y![y + 1 - 1] x(x-1)! - (x-1)! > (y+1)y! - y! x! - (x-1)! > (y+1)! - y! x! + y! > (x-1)! + (y+1)! 2. this requires some non-hsc maths e^z = e^(x+ iy) =...

Zeek, the first question you asked only makes sense in the context of the diagram. It is not something that is always true. It is only true for the vectors shown in the diagram (and a few other cases).

I'm not sure I agree with everything your suggesting but I will take it up with you in PMs so we don't continue to derail this thread. :P

I don't really think that what you said makes sense silentprayer. :P Many businesses in the service industry offer a variety of services without it detracting from their quality. Accounting firms are a large example offering advisory services, auditing services, corporate finance services...

I found MATH3311 to be incredibly retarded. Also I must be in your 2601 class acmilan since I am enrolled this session in that.

The Intuition at Epping is unrelated to the Intuition at Chatswood. Which one did you end up choosing?

I don't think that's expensive... :P If I was still doing private tutoring, I'd be asking $50. But $25 is definitely a good price for a good tutor. I can't comment on how Hunter tutors coz I wouldn't know, but he's a nice guy, so that counts for something :P Of course, Hunter doesn't...

If you consider a normal car, you could probably consider two main forces acting on it. The friction force against the direction of motion. And the force due to the 'engine' that is obviously being applied in the direction of motion. In most resisted motion questions, you ignore the...

Mum?

Refer him to page 82 of the 4u Syllabus. For Induction it states: 8.2 Induction The student is able to: • carry out proofs by mathematical induction in which S(1), S(2)…S(k) are assumed to be true in order to prove S(k + 1) is true • use mathematical induction to prove results in...

;d Most competent textbooks have such questions. Your post is a bit sensationalist though isn't it? If 4u Mathematics was as simple as buying a textbook, why isn't everyone getting 100? Moreover, why _are_ people spending $ on tutoring. ;d

I think you are somewhat confused as to how a tutoring college actually works. 1. Most colleges want their students to succeed and will endeavour to help them do so. One such way of determining whether or not the service you are offering is helpful is to determine how many people 'pass their...

That's why you get external tutoring. Do not underestimate what it does for you. :P

theres some sort of theorem on this i believe there are no other solutions ? u can show that 2^n > n^2 for n > 4 etcz by induction ETCCZZZZ

MY LAST THOUGHT - then sleep FROM BEFORE: x1 + x2 + x3 + ... + xr = n now since we have the condition that xi > 0 we solve: y1 + y2 + y3 + ... + yr = (n - r) [where we have taken into account that every hole MUST have a pigeon, and as such reformulated the problem to...