• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Search results

  1. A

    Integration Question

    How do you do this? Simplify, if necessary, and integrate with respect to x: \frac{5x^2+7x-6}{x^2}
  2. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread I made a diagram, hopefully this helps for visualising it. http://imgur.com/E9yDMiq Edit: Oops, theres a typo in the image. Width, not with.
  3. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Seeing as the inverse function has point symmetry around (0, pi/2), you can evaluate it by moving the area under the curve from -3/4 to 0 above the area under the curve from 0 to 3/4. This results in a rectangle, which has...
  4. A

    Exponential Question

    Reference: 3 Unit Mathematics Book 2 by S. B. Jones and K. E. Couchman, Exercise 19.5, question 9e: Show that the curve y=xe^{-x} approaches the x-axis as x becomes large. Should I be just subbing in large x numbers or is there some limit I should be using?
  5. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon Can we have a question which only requires knowledge up to the 4U complex numbers syllabus?
  6. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon What? Are you sure about this? I thought a b and c could be anything as long as their imaginary parts sum to zero. This means something like 2+4i, 8+19i and 17-23i is a possible solution. These numbers are neither conjugates nor real.
  7. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon Does this question use things from the polynomials syllabus? It feels like it does...
  8. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon Can we have some more complex number questions?
  9. A

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread \\$I've had a look at your working, and I believe the mistake is in working out the angle both arcs. The first arc (left circle) should be $2\pi-2(1.2661)$ instead of $2\pi-1.2661$. The second arc (right circle) should be...
  10. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon The 2016 cohort hasn't supposed to have done integration at this level, has it?
  11. A

    Fitzpatrick 3u Question Parametrics

    Here's the full algebra working for you then. This is done using the method Integrand suggested, finding the equations for QR and PR, and then finding R by simultaneously solving these equations. \\s=\frac{-4}{t}$ (1)$\\m(QR)=m(OP)=\frac{t}{2}$ (sides of a rectangle)$\\$eqn of QR...
  12. A

    Beauty Spot Summaries

    Has anyone ever heard of, or even better, used these things called a beauty spot summary? My teacher keeps asking my to use them, and praises their "transformational power" of summarising. I'm a little bit sceptical of them, and I was wondering if anyone here could offer me a second opinion with...
  13. A

    2U exams!

    I've been doing 2U exams so far just for fun and to make sure there isn't something I don't get. I do know that you can't do the 2U HSC exam because it runs at the same time as the 4U exam.
  14. A

    Polynomial Question

    So you also need to find the actual number which is the constant term, and you can do that with the information given in the question. \\$In order to find the co-efficient of the $z^4$ term, we could expand the factors given, but that would take too long. Instead we are going to find the...
  15. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon Haha, I guess the diagram does make it a bit easier to picture. If you're going to attempt the above one, I strongly recommend sketching a diagram.
  16. A

    HSC 2016 Chemistry Marathon

    Re: HSC Chemistry Marathon 2016 Not yet, doing it tomorrow :)
  17. A

    Permutations and Combinations Question

    That makes a little bit for sense now, thank you.
  18. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon Yeah it did, I thought I'd include it since it is a little tricky.
  19. A

    HSC 2016 MX2 Marathon (archive)

    Re: HSC 2016 4U Marathon Did I not answer it correctly above?
  20. A

    Permutations and Combinations Question

    I get that you treat them as one person and then swap their positions. That's why my original working was \frac{2!\times 5!}{6}$ instead of $\frac{6!}{6} I don't get why it is a five on the denominator instead of six.
Top