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I am attaching my solution to this question.

Just checked that Slidey. In the syllabus, concerning 3u integration, it includes "Methods of integration, including reduction to standard forms by very simple substitutions." In the notes at the end of the syllabus it also states, "In all examples the substitution is to be given."

http://www.theaustralian.news.com.au/story/0,25197,23421373-12332,00.html Does anybody here do that degree at UOW and is it really that lightweight?

Yes, in 2-unit you need to be able to solve these type of questions from first principles.

Goody-goody. I always knew there was some reason why I did that stupid BEd. Now its nice to know I wont be superceded. I'm sure that the dip ed will be reincarnated as a 'masters of teaching' or something grandiose sounding like that. (Actually, I think UWS already has such a one year...

Thesedays, you don't have to have an education degree, but you do need to have at least a dip ed. The dip ed. is a graduate qualification that takes either one or two years, depending on which uni you do it at.

Public schools often use the same textbook year after year because that happens to be the one that they have a class set of.

You can either multiply by a square, consider cases, or you could try graphing the function if you're good at curve sketching. The important thing is not to treat it like an equality.

How about you people use some brackets so we know what question you actually mean?

For the first one, we want to multiply throught by x to get rid of the algebraic fraction, which means that we have to consider two cases: if x>0, then x^2 -2x +1 >=0 (x-1)^2>=0, which is always true. If x<0, then we must reverse the inequality, so we get (x-1)^2<=0, which is never true...

I think the problem is that the triangle is *almost* isosceles, if you look at the size of the angles, but actually nothing like isosceles if you look at the lengths of the sides you have been given, which is why the sine rule is not working.

First year phys at UNSW has lots of problems. For a start, when they changed to the so-called new HSC in 2000 the HSC physics course was dumbed down immensely. The people at uni still don't seem to have come to terms with this - they try to run the course the same way it was being run twenty...

Why are you trying to do engineering with General Maths?

The overall WAM is determined by applying that formula I wrote earlier to all your results - not just the ones from the most recent semester. Have you overloaded or underloaded UOC at all? Or taken courses over the summer session? Otherwise, if you've taken 24 UOC every semester, then just...

Your formal transcript doesn't seem to have a WAM on it - just the subjects you did and the marks recieved. Anyway, the uni WAM is calculated by multiplying each subject mark by its UOC, adding them all together and then dividing by the total number of units studied that semester. Many...

z^4 + bz^2 + (b^2/4) is a perfect square. So factorise it. z^4 + bz^2 + (b^2/4) = (z^2 + b/2)^2 Thus if p(z) = 0, z^2 + b/2 = 0, so z= +/- sqrt(-b/2), so if z is to be real, then, as cwag said, b<= 0.

Well, you can treat x^4 - y^4 like the difference of two squares and go from there. For x^4 + y^4 there is a tricky factorisation: x^4 + y^4 = x^4 + 2x^2y^2 + y^4 - 2x^2y^2 = (x^2+y^2)^2- 2x^2y^2 = (x^2 + sqrt(2)xy + y^2)(x^2 - sqrt(2)xy+y^2)

Life sciences is biology and stuff like that.

Hint: a^4 + a^2b^2 +b^4 = a^4 + 2a^2b^2 + b^4 - a^2b^2 Btw, you may find the book "Algebra" by I.M. Gelfand and A Shen interesting to read. Its about high school mathematics but it isn't a textbook. It is written by mathematicians rather than school teachers and is actually entertaining to...

That all depends on what your goal is. Are you just trying to get good marks or do you actually want to learn some mathematics? The NSW syllabus only represents a fraction of the mathematics that you could learn, and Cambridge has a lot of material that goes well beyond the syllabus. This is...