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Bump! Now that school's been back for a few weeks, it's always a good time to get ahead :D.

Thanks! Appreciate it :D

Hi guys! My name is Thomas, but most people call me Tugga (don't ask me why - I have no idea!). I've posted before here, but recently studied abroad at the University of Pennsylvania for a semester, so had to take a break from tutoring for a while! I'm now looking for a few new students to...

Can confirm top notch bloke and intelligent individual! Helped me loads throughout high school and during HSC. Would recommend giving him a go :D

bump! Can confirm, very knowledgeable guy and would expect him to be a great teacher!

Sup Webahh!

The train is accelerating though :S. When the string is cut the ball drops in a diagonal straight line, (in the frame of reference of train)

To the best of my understanding... 1)I'll explain after 2) 2)It is inertia. If there was say a mass on a frictionless surface within the train, it would, in the frame of reference of the train, move backwards. The opposing force that they're talking about is the tension in the string keeping it...

I think it's the floor pushing up against the astronaut (providing centripetal force). The reaction pair is then the astronaut pushing back against the floor. This is simulating gravity (him being pushed into the ground). Hope that helps :S

I talked about how the ellipse is symmetric around x and y-axis, so the problem can always be transformed into a theta such that 0<=theta<=pi/2. Not sure if it was required/legit though :L

The emitted electron is from a neutron decaying to a proton + electron right?

Wowowow my privacy carrotsticks :'(. Haha nah just kidding. Thats cool, I was already satisfied with passing anyway :P Yeah, will keep that in mind, was just rushed for time etc. Thanks again!

I thought I got the projectile one out using auxiliary angle and the fact that arctan(1/x) + arctan (x) =π/2, was this an accepted method and did I just make too many assumptions or something?

Ohhh because k doesn't have to be an integer right

How do you do the external interval one?

I think I got like 1/7 for the graphing questions GGGG, wonder what the marking criteria was

Did they not accept auxilliary angle method for the projectile in q16? Like converting the sin+cos into a single one to find the max...

Oh hmm, yeah true! My bad, it would probably be easiest to find the adjacent sides equal then :) (or that the distance from P is the same if that makes it easier algebra-wise)

The tangents are perpendicular to each other (this is apparent when using point gradient to find their equations). Squares have diagonals that are perpendicular and bisect (I think), so you only need to prove that the midpoint is the same? Also, this midpoint has to be the point P.

Re: HSC 2014 4U Marathon When you sum the product of roots you get this: (gonna try use fancy latex) $Let the non-real, complex roots be $ \alpha, \bar{\alpha}, \beta, \bar{\beta}, \gamma \bar{\gamma} \\ $Then by summing the product of roots from each equation$ \\ \alpha \bar{\alpha} +...