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This one is screwing with my head. My guess is that you cannot treat a variable as though it were a constant. Written differently, it should yield the same result: i.e. sin(x) = x - x3/3! + x5/5!-...+...etc... this differentiated will give: d/dx sin(x) = 1 - x2/2! + x4/4! - ... + ...

Just wondering, what are you doing now? You would have just have finished or be finishing a degree at the moment? I did my HSC back in '04. Those were the days...

This "reverse chain rule" is just the most simplistic case of integration by substitution, there is really no difference in the mathematics, just in the analytical approach.

I always called that Integration by Substitution. ∫tan(x)·sec2(x)·dx Let u=tan(x) then du=sec2(x)·dx i.e. the integrand is of the form: ∫u·du =½u2 + c As u=tan(x) ∫tan(x)·sec2(x)·dx =½tan2(x) + c Where c is an arbitrary constant

The pioneers of electricity screwed up. They thought that current was the flow of positive charges through a conductor. It wasn't until experiments were done with cathode ray tubes that it was found that the charged particles were being expelled from the negatively charged cathode towards the...

Just so you know in case they ask you this later, an electron volt is defined as the kinetic energy an unbound electron gains when accelerated across a potential of 1 Volt in a vacuum.

This is only true when an object is in circular orbit (i.e. not including elliptical orbits). If say orbital decay occurs or a spacecraft fires retro rockets, it's velocity normal to the tangent will increase as the gravitational force increases due to the inverse square law. And if a person is...

You can just derive most of them anyway. It's just the trigonometric ones you have to remember.

In part b, the roots are 1/alpha, 1/beta, 1/gamma; and in part c, the roots are a/alpha, a/beta and a/gamma where a=-3. They're just writing it that way as the roots are scalar multiples of each other and they are demonstrating the relation (atleast that's my guess).

When you do Methods of Integration you'll wish you had a formula sheet. That topic is the only one it would be nice to have one for, apart from that there is really no need for one.

Haha, If you go into the toilets outside the first year physics labs, someone has written above a toilet roll holder: "Arts degrees, please take one."

I'm doing Medical Radiation Physics and I only did 2 unit maths in high school. First year maths isn't too bad as long as you put in enough effort. There are 2 entry options regarding mathematics. You can do MATH187/188, or if you feel your mathematical ability isn't too great, you can do...

Finding the result the way the person above me did is pretty much the same method I used; however, use the formula y-y1=m(x-x1) in lieu of y=mx+b that I used. Either way you obtain the correct answer, so it's up to you which formula you use to solve these problems.

Firstly we differentiate the function with respect to x to find the gradient at any point: y=x4+4x3/2 dy/dx = 4x3+6x1/2 Now to obtain the gradient of the point A (1,5), substitue in the value for x. dy/dx=4*13+6*11/2 =4+6 =10 Now the normal mn of the gradient of a tangent mt is equal to: mn =...

They are those who applied through UAC for the B.Sc Mathematics (Advanced) course and scored sufficiently well in the HSC. They do a subject called MATH110 which teaches them in 1 semester what they would normally learn in a year of first year maths minus the fundementals from high school. This...

I think we are the only state/territory in the country that doesn't teach matrix algebra at the highest high school level. Ah well, it wasn't too hard to pick up at uni. I would dread being an Advanced Maths student though, they skip an entire year of uni maths and hit the Multivariate stuff...

You wont need determinants until the first semester of university maths. But for a 2x2 matrix A det(A)= |a b| |c d| =ad-bc And for a 3x3 matrix called say... B det(B)= |a b c| |d e f| |g h i| =a(e*i-f*h)-b(d*i-f*g)+c(d*h-e*g) an interesting note is that if det(X) != 0 then X-1 exists where...

Yeah, go Howard, I mean without him, I'd be paying 20% less for HECS, what a pity that would be. That's $4,500 I could have wasted on something more important like alcohol. One of the tendencies I seem to notice is that if mummy & daddy vote Liberal, their kids most likely do so too. I'll...

Well the vast majority of us Faculty of Engineering people do end up with 5 day uni weeks unlike many Arts/Creative Arts/Commerce people. I always thought of the Unicrew thing as a way for the Unicentre to get promotions work done for free. I guess otherwise they would have to spend vital...

You'll find there's a few Americans in the physical/life sciences. My Physics lab partner from last year was from Pennsylvania in the US of A.