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1. Show that secxcosecx = (sec²x)/(tanx) 2. Find ∫sinx°dx 3. Use the substitution u = cosx to find ∫sin³x dx These should be simple, but I'm stuck! Thanks in advance, your help is very much appreciated =]

Describe the solubility of carbon dioxide in water under various conditions as an equilibrium process and explain in terms of Le Chatlier's principle. Yeah, HSC Online has it, but I'm not quite getting their explanation. They just give four equilibrium reactions relating to the creation of...

My first term chem assessment (not half-yearlies) was weighted as 25% of my assessment mark. I scored 65% in the test. Now, I know I fucked up, and my rank is below average. However, I go to a school which is ranked ~60th. I don't know if this helps. I'd like to know how well I need to do in...

Find the equation of the curve that has f''(x) = 12e^(2x) and a stationary point at (0,3). If I remember correctly, stationary points are where the gradient = 0. y'' = 12e^(2x) y' = 6e^2x + c Is this right so far? I'm just stuck on where to go next. Thanks in advance!

If logb2 = 0.6 and logb3 = 1.2, find: a) logb6b b) logb8 c) logb1.5b² The "b" in "logb" is subscript. Most of the logarithm stuff we've done in class has gone way over my head, I'm really lost. Thanks in advance!

Today at 2:00pm, a physics lecture was held at a university (I forget which one). The lecture was broadcasted through a live large-scale webcam system in which schools could tune in. The schools also had their own webcam system where they could view, listen and talk back to the lecturer. It was...

∫(3^x) dx It's probably some simple rule I missed out on. Thanks in advance!

First, is there a maximum amount of points a course can raise each year for cut-offs? Second, how well do I need to do in; Ext1 Eng Adv Eng Ext1 Maths Adv Maths Chemistry Physics To achieve ~94? My school is ranked about 50th, if that helps. Thanks in advance =]

Just a bit hazy on this one =[ The curve y=2^x is rotated about the x-axis between x = 1 and x = 2. Use Simpson's rule with 3 function values to find an approximation of the volume of the solid formed, correct to 3 significant figures. Also, if you're bored; Find: ∫ [(x+2)/√(x+3)]dx For...

I've seen a lot of posts regarding the importance of ranks within a school, and how they contribute to your HSC mark. My question is, why do the ranks matter within the school? What if your year was very smart and your rank was only mid-range, whilst you could have a very high rank in a...

Find the volume of the solid formed when the curve y=(x+5)² is rotated about the y-axis from y=1 to y=4. So far I've got; V = pi∫x²dy y = (x+5)² y = x² + 10x + 25 x² = y - 10x - 25 I'm stuck here - what do I do with the single x term? Thanks in advance

Find ∫x³(x^4 - 1)^8 dx I know the rule for finding ∫(ax+b)^n etc, but the x³ really throws me off. I could expand, but that'd be extremely tedious and most likely the wrong approach for the question. Thanks in advance!

Incoming major idiot query. If I were to study and remember all dotpoint answers for my science subjects, would it mean I'd do extremely well in the exams? Currently, it seems that all I need to do is browse a couple of resources to answer each point in the syllabus (I'm mainly referring to...

Find the equation of the locus of a point P (xy) that moves so that it is always 4 units from the point (-3,2). These are the exact words of the question, though I think it meant P(x,y), not (xy). I first thought the locus would be a circle with radius 4 and center point (-3,2), giving the...

I have an essay question that asks "Discuss how narrative techniques are used to shape meaning". I was wondering what are some common techniques composers use to convey their messages? Thanks in advance =]

I have an essay question that asks "Discuss how narrative techniques are used to shape meaning". I was wondering what are some common techniques composers use to convey their messages? Thanks in advance =] PS; probably not in the right forum, move at will.

Does anyone else find parametrics a hard topic to grasp? If not, is there some easy way to go about it, because its giving me (and a majority of my class) quite a hassle. Here's a question. Tangents from the point P(x1, y1) touch the parabola x^2 = 8y at the points A and B. a) Show that the...

So I've browsed another set of forums and the term 'burning out' has come up quite a bit. Apparently the idea for most people in this year's HSC is to "study as much as you can with all notes and syllabus points and mindmaps" etc etc, but at the same time to "make sure you don't burn out too...

Just a bit lost on a few doozies; 2. Find the equation of a quadratic function that passes through the points (-2,18), (3,-2) and (1,0). I know that these points are the roots for the quadratic function, but I'm not sure how to work it out =[ 3. Find the value of a, b and c if x² + 5x - 3 =...

1. If sin x = 0.3, find: i) cos(90-x) ii) cos² x iii) cosec x iv) sin(180+x) v) sin(360-x) (You probably don't have to all of these, just explain what I'm supposed to do here =P) 2. What is the exact value of cos(-150°)? 5. If cos(theta)=0.96, find the exact value of cot(theta). Thanks in...