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\frac{a}{b+c} + \frac{b}{c+a} + \frac{c}{a+b} \geq \frac{3}{2} ^ Above is the question. Although I have a general question: For inequalities, how do we really know where to start? I'm struggling with the questions in Terry Lee and in their solutions, it uses random inequalities such as x^3 +...

^ I've been getting snowed by assessments and I was wondering, when is the optimal time to study for the trials? Ie. How many weeks prior to? I am planning to resume studying for trials once assessments are over (most of them that is)

Restrict the domain of the function to a monotonic decreasing curve and find the inverse function of this domain f(x) = 3/ x^2 I got the domain as x>0 and range as y>0 So I sketched the right half of f(x) and reflected it about y=x. The inverse function graph shown was positive and the answer...

This question comes from Question 7.b.v. 1996 HSC v. Let a be a real number not in the domain found in part ii. Find f^-1(f(a)) The domain found was x >= 1. x=1 is also the axis of symmetry. f(x) = 1/4 [(x-1)^2 + 7] f^-1(x) = 1 + (4x-7)^1/2 Hopefully this information will suffice...

I know what trade credit is but "Interest free trade credit"? Idgi

Hey guys, I've already asked this before but I need to see how far behind my school is to ensure I keep up pace and so on. I am currently up to section 5 of BOL. What are you up to?

So we're now under 6 months until the HSC :cry: Time goes so fast :cry: How is everyone handling the workload/stress and how well are you currently performing in school? Best of luck to all 2012ers.

Question: Find the domain of y=arcsin(x^2)

Hey guys, can someone just explain to me how to graph ln [f(x)] ? Just basically what you do and whatnot.

Question: 16. In a group of 25 students, 18 study French, 12 study German and 5 study neither French nor German. If a student is chosen at random, what is the probability that he or she studies: French or German or both?

Hey guys. Q. Find correct to three decimal places, the angle in radians through which the second hand of a clock turns in 7 seconds. What I've learnt so far is that to find the angle you have to find the ratio of the arc to the radii within a circle, although I am unsure about what the...

Oh hai guys. Im stuck on this Q and I don't recognise what im doing wrong. Q. A school invests $5000 at the end of each school year at 6% p.a towards a new library. How much will the school have after 10 years? I used A=P(1+r)^n, where r = 0.06, P = 5000 and n=10. Then I did n=9,8,7.. like...

Hello MX2ers, can you just verify what the dimensions of the annulus swept out of this diagram are? I was thinking the outer radius is 2 and the inner radius is 2-x but when I did area and etc I got the wrong answer so yeahs. http://www.mediafire.com/?gjoz94m8fd5wbua

I have tried so many probability questions through this term - from both textbooks and past papers, and honestly I've only experienced minimal improvements. I don't understand why I cannot do the simplest of 2u probability when I find permutations and combinations, as well as binomial...

Hey guys. So I am anticipating that I am trailing behind first in behind by around 3-4%. Now, I only have 2 more assignments left being 20% and 30% for the trials. The first two assignments I did were 30% and 20%. I have not got my results back but with the next assignments/exams, will it be...

Integrate: (3x+2) / (x^2 + x + 1) dx I don't understand Terry Lee's method when he gets this in the first line: \frac{3}{2}\int \frac{(2x+1)}{x^2+x+1}dx + \frac{1}{2}\int \frac{dx}{x^2+x+1}. How did he get 3/2 and 1/2 in front of the integrals?

Hello. Q. Rotate y=4-x^2 around the x-axis by taking slices perpendicular to the axis of rotation and find the volume enclosed. I know the process to do it but looking at the diagram of the solution, I am unsure of how the parabola intersects the y-axis at 4 and -4, and why it intersects the...

I am confused about how to find an approximation to the root and I kinda only know how to find where the root lies between. Like for example, Q. x^2 - x -7 has a root between x=3 and x=4. By halving the interval twice, find an approximation to the root. I already halved the interval twice but...

I just need help with iii or just a hint will do. Thanks to all who help. P.S: Can someone tell me how to insert pictures without attachments, I've been searching for ages on how to but couldn't find out.

So I need to know what the advantages of performing a single experiment are. I have so far... -Easier to control the experiment. :/