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Validity. If the container released a lot of heat energy, the experiment would not be "valid" since it DID NOT achieve the aim of the experiment which was to determine the heat of combustion of various alkanols. It would just give some random value

To determine stationary points: Yes solve 32x(4x^2-1)^3 = 0 (your above comment is right). To determine their nature: A stationary point is a very general term that can describe: Turning point (i.e. max/min point) or a point horizontal inflexion - or a horizontal line but clearly this isn't the...

I will derive GPE = -Gm1m2/r for you: We first defined GPE as the work done required to move an object from, say, Earth's surface where GPE is taken to be 0. Hence GPE = mgh (GPE = W = Fs = (mg)s = mgh) Can you see the limitation in this? We now must redefine GPE such that it will...

^ hahahaha loved the number-crunching joke (dry humor). Just wondering, do dux's at your schools get speeches?

I don't understand why questions are so specific... what happens if my prescribed/related doesn't even have strong enough elements relevant to the questions

bump

Hi, I don't understand this section of the belonging rubric: "Texts explore many aspects of belonging, including the potential of the individual to enrich or challenge a community or group. Could someone explain this to me? Thanks!

^ The trick is to disguise studying as something else (preparation of notes or whatever) :P

I think it might be good to revisit first principles of calculus (the limit stuff) where you'll see d (lower-case delta) actually mean something rather than just a notation.

@Trebla, for \displaystyle\lim_{x\rightarrow 0}\dfrac{\sin x}{x}=1 When do I learn this? I've done trigonometry but havn't come across it

We probably use limits/calculus right...

If magnetic field strength is the amount of magnetic flux per unit square, how can we define magnetic field strength at a point within a magnetic field? :S

Ah, I see. Thank you!! :)

What happens physically to the pendulum though that invalidates the experiment if we exceed small angles? I want to write it as part of my discussion

When calculating the value of g with the motion of a pendulum, why must I consider the the arc angle (the angle string makes with vertical when released from rest)? Sources say to keep it within ~30 degrees but can someone tell me why?

I think you write too 'casually'; cut your sentences short to create elegance. "The concept of belonging is a multifaceted one" --> "The concept of belonging is multifaceted" "by which the definition really depends on an individual's personal opinion of what they think belonging is" -->...

Hi, can someone help me with the following questions :) Illustrate on the Argand diagram the following regions: a) 1 <= |z| <= |z-i| b) |z+i| + |z-i| = 4 for a) I had two circles of radius 1 with centres 0,0 and 0,1 however I don't know how to go from here...

Hi, I had a quick inspection of your working out and I believe you dealt with the angles wrong. Also, you should put at the start of your solution "let ... = Rcos(x-a)" and then equate coefficients etc to find R and a otherwise it makes no sense :S

You definitely fit into my criteria. Thank you so much for sharing your experiences (quite an extensive one at that)! I have my own long-term goals in life (engineering/leader) and am an above-average achiever myself, but consistently seeing teachers not being able to fuel the creativity...

State-rankers, high achievers, and olympiads: How did you find school? Your natural talent and passion for a subject converges into curiosity which you wish you satisfy. You begin to explore; your knowledge surpasses the HSC syllabus, dwelling into (low)-level university content. But you don't...