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Nah, thanks for even reading through that word vomit and taking the time to answer, haha. I guess I'll start with that and see where it goes then! Thanks again~~

I'm a 2019 HSC graduate (hurrayyy) and I recently got hired for a part-time job (not gonna lie, very surprised I actually got accepted lol) and am required to bring in a completed TFN declaration form/employee declaration form, among some other files, for my first shift. Okay, so... there's a...

for the national park question part ii, i completely missed out on the whole D^2 part of "show that x=2 is a minimum for D^2" aNd fREAKING DIFFERENTIATED D RATHER THAN D^2. i wanted to punch myself after i wrote "x=2 is a minimum for D, therefore it is a minimum for D^2"

Ah.. so I did do it the wrong way anyway, haha. Thanks!

So from what I've learnt so far, you almost always have to find the general term first before finding out the coefficient of a term in binomial. I understand how to do these for normal (a+b)^x expansions, but how do you go about finding the general terms of binomial expansions that have more...

Ohh, I think I get the challenging assumptions through human experiences bit now, thank you! I kind of still have a question though: for a thesis statement and essay set-out, would you do something like, for example "throughout TEXT, AUTHOR's depiction of human hardships challenge social...

Our school is having an assessment task focusing on "how depictions of human experiences challenge assumptions or ignite new ideas" for any chosen text and honestly, I'm really stuck. I can't think of any kind of thesis and frankly, I don't understand how human experiences DO challenge...

I got this question as part of my homework: "Find the volume generated when the curve y=e^{x} between x=0.5 and x=1.5 is rotated about the x-axis." (So correct me if I'm wrong, but the equation is V= \pi \int_{0}^{1.5} e^{2x} dx - \pi \int_{0}^{0.5} e^{2x} dx , right?) Going by the above...

Oof, sorry, I think I got volume and area mixed up at that point, and squared y (I dunno how that mix-up happened either, lol). Anyway, it's all good now. Thanks!

Hi! There's a question I've been quite confused about in the Fitzpatrick textbook: "Calculate the area bounded by y=e^x, the coordinate axes and the textbook at x=2" The working out I did: Area = \int_{0}^{2} (e^x-e^2(x-1)) dx =[e^x-\frac{1}{2}x^2e^2+xe^2]2/0 =e^2-1 I shortened...

Once again (you're probably sick of hearing this by this point XD) thank you so much for all your help!

I... think I get it?! Maybe?! Just to check, LHS = 2^{2k+1} + 1 = 2^{2k} \times 2 + 1 = \frac{2^{2k}}{2} \times 4 + 1 = 2^{2k-1} \times 4 + 1 = 2^{2k-1} \times 3 + 2^{2k-1} + 1 = 3(2^{2k-1}) + 3N from previous assumption = 3(2^{2k-1} + N) = 3P as since N, k \in \mathbb{Z^+}...

How profound should the shift in perspective be, do you think? I feel like our school teachers are encouraging us to write stories with deep, profound life messages and social commentary. :/

Thank you for pointing that out! Even in written down working out, I keep forgetting that plus sign, so I'll make sure to check that it's in next time, haha. In class, my teacher said that when proving for odd integers, you should always use the assumption 2k - 1 so that the odd integer 1 is...

Thank you for the help! ... but I'm still a bit stuck on step 3, sorry ^^" How would you manipulate 2^{2k+1} + 1 = 3P so that you can substitute the 2^{2k-1} + 1 = 3N from the step 2 assumption?

So I came across this induction question and am quite stuck mid-way. The question is: Prove that 2^n + 1 is divisible by 3 for all odd integers n So far, I have this working out done: 1. To prove: 2^n - 1 = 3M, where M \in \mathbb{Z} Prove true for n=1 LHS = 2^1 + 1 = 3 which is...

Sorry, I still don't think I quite understand how I would portray a shift in perspective in a short story, though.

Hi! So I came across this question in a past paper and I can't seem to figure it out. It goes like this: The distinct points P(2ap, ap^2) and Q(2aq, aq^2) lie on the parabola x^2=4ay . The points P and Q are constrained to move such that QR \perp PR where R is the fixed point (2a...

For our assessment, we have to write 3 pieces of writing, a personal essay, a creative piece and a persuasive piece of writing, for a portfolio and the creative writing is based off of 'a shift in perspective.' So, uhhh... what exactly is a 'shift in perspective'? Our teacher just told us...

Ohhhhh, I see now, haha, whoops. Sorry, our class hasn't had practice essays or body paragraphs since the start of year 11, so I was a little lost about the whole thing. How many body paragraphs would you recommend for this essay, though, and also how many different points?