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  1. Paradoxica

    BoS Trials Maths, Physics and Business Studies 2023

    like any programming, copy and paste code from stack exchange
  2. Paradoxica

    BoS Trials Maths, Physics and Business Studies 2023

    just going to take this out of context and put it aside, and yep, describes the entire paper
  3. Paradoxica

    BoS Trials Maths, Physics and Business Studies 2023

    anything is possible through Go- *shot*
  4. Paradoxica

    Maths Extension 2 Thoughts and Feelings

    I'm not sure you have enough information to do a cubic polynomial bash... but at the very least, it's straightforward to prove all three numbers have modulus 1.
  5. Paradoxica

    BoS trials Maths and Chemistry 2022

    Remarks for MX1, Q13 a) Most were able to get at least 2 marks, quite a few made miscellaneous errata in their working and got the wrong result at the end, so lost a mark. For some reason, a fairly large percentage of students think you need a triangle diagram to justify the conversion from θ...
  6. Paradoxica

    BoS trials Maths and Chemistry 2022

    At the top of page 3, for Question 14, you need to specify non-trivial involution. Also I see you are unfamiliar with some of the underneath stuff of LaTeX. To get proper 66 and 99 quotation marks, the first pair should be replaced with two backticks `` .
  7. Paradoxica

    BoS trials Maths and Chemistry 2022

    Well I guess it goes to show you were not intimidated by my question. Some people think that the unorthodoxy of my question is enough to scare students :awesome:
  8. Paradoxica

    BoS trials Maths and Chemistry 2022

    Remarks for Q16, MX2 a) The overwhelming majority were able to correctly execute the syllabus cloned, word for word, irrationality proof. No students used infinite descent, which I was hoping would sneak in from any students who looked at a specific previous BoS Trials paper. b) i) Some...
  9. Paradoxica

    BoS trials Maths and Chemistry 2022

    While I'm finishing off the pile of marking: Remarks for Q11, MX2 a) More than a handful of students made the incorrect border transformation of (3π/2, π/2), instead of (-π/2,π/2) Most students were able to correctly derive the relation between dx and dθ and the transformed border values but...
  10. Paradoxica

    What is the hardest Maths Extension 2 topic?

    I would say Complex has more potential to be difficult, but usually isn't because there's not much they can do without plagiarising BoS Trials :p
  11. Paradoxica

    Help

    The first part of 7 is a standard exercise which can easily be done using contradiction (assuming you have seen the algebraic bash proof that √2 is irrational) The second part: If x is irrational, then 2x is irrational (is what we want to show here, for a specific value of x) Taking the...
  12. Paradoxica

    Asap need help with part ii

    \begin{align*} w\bar{z} &= \cfrac{3+4i}{5} \times \cfrac{5 - 12i}{13} \\ &= \left(\cfrac{3}{5} \times \cfrac{5}{13} - \cfrac{4i}{5} \times \cfrac{12i}{13}\right) + \left(\cfrac{4i}{5} \times \cfrac{5}{13} - \cfrac{3}{5} \times \cfrac{12i}{13}\right) \\ &= \cfrac{15 - 48i^2}{65} +...
  13. Paradoxica

    Maths Ext 2 Predictions/Thoughts

    ah yes the engineer's method
  14. Paradoxica

    Maths Ext 2 Predictions/Thoughts

    same omission of detail as above in the locus question
  15. Paradoxica

    Maths Ext 2 Predictions/Thoughts

    they didn't put an open circle around z=-π, since it's not clear whether the inclusion of the curve from below takes precedence or not (it doesn't)
  16. Paradoxica

    Math Ext 1 Predictions/Thoughts

    Well the vector field doesn't appear to be nice at the origin, so the uniqueness and existence theorem doesn't apply here.
  17. Paradoxica

    Math Ext 1 Predictions/Thoughts

    this isn't right, since 1 1 1 1 1 0 1 0 0 has exactly 2 of each of the possible non-zero sums
  18. Paradoxica

    Maths Ext 2 Predictions/Thoughts

    Matrix didn't put a dashed line for the straight line segment joining z=0 to z=-π. -1 mark.
  19. Paradoxica

    Maths Ext 2 Predictions/Thoughts

    the trick is to not be intimidated because of my traumata i rarely get intimidated which massively helped with blitzing through maths
  20. Paradoxica

    Maths Ext 2 Predictions/Thoughts

    look at the sum and product of roots of the quadratic to show that they are both positive
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