# Search results

1. ### How do Human Experiences challenge assumptions?

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...
2. ### How do Human Experiences challenge assumptions?

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...
3. ### Volumes of Revolution Help

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...
4. ### Exponential and Log Function Question Help

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!
5. ### Exponential and Log Function Question Help

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...
6. ### Induction Help

Once again (you're probably sick of hearing this by this point XD) thank you so much for all your help!
7. ### Induction 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^+}...
8. ### Shift in Perspective

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. :/
9. ### Induction Help

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...
10. ### Induction Help

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?
11. ### Induction Help

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...
12. ### Shift in Perspective

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

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...
14. ### Shift in Perspective

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...
15. ### How to set out Essay?

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?
16. ### How to set out Essay?

Our class was set an essay with the question "‘Through their portrayal of human experiences, texts challenge individuals to see the world differently.’ Discuss this statement in relation to The Merchant of Venice." How would you set this essay out in terms of arguments? I was planning on doing...
17. ### Is my related text alright?

For the common module, our school is required to find a related text to The Merchant of Venice (though it doesn't necessarily need to be connected to the themes in TMOV) that explores, to some extent, these questions: 1. Which individual or collective experiences does it explore? 2. Which human...
18. ### Volumes of Revolution Help!

Phew, I was so confused for the first one, haha. ^^" AND OH GEEZ, I JUST REALISED WHAT WAS WRONG WITH THE SECOND ONE WHEN I DID IT; I FORGOT TO SQUARE THE x . I'M ABSOLUTELY MORTIFIED, SORRY ABOUT THAT- AND THANK YOU SO MUCH!
19. ### Volumes of Revolution Help!

We recently began integration and I'm still somewhat confused about this topic of revolution volumes. For some of these questions, I can't seem to get them at all! Like I keep getting \frac{7}{3} \pi for question (a) instead of \frac{1}{3} \pi (It should be V= \int^{1}_{\0} y^2-4y+4\,dy...
20. ### Derivative Geometry Help

Oh, I get that part now! Aaaahh, sorry, I think I was a bit out of it before, lol But uhh, how would you do part b?