Recent content by Pedro123

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    HSC Advanced Mathematics Predictions / Thoughts

    I'm not sure how right the answers are, seeing as it says 2 for 10 (MCQ) when it's 3, so dw. I haven't checked the other ones though
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    What is this technique??

    Personification?
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    1984 and Fahrenheit 451 as Related Texts

    Does anyone have any suggestions for resources available to use Fahrenheit 451 as a related text for 1984? Also, for people who did study 1984, were there any other books that were particularly useful as a related text? (Given we are studying love in 1984 rather than control/power) Thanks
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    De Moivre's Theorem

    Thanks guys - turns out I just pulled a bit of a dumb :) Out of curiosity, does anyone have any ideas to prove the sum of cosine expression I thought I needed?
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    De Moivre's Theorem

    Not sure how to solve the following: (1+cos(a)+isin(a))^k+(1+cos(a)-isin(a))^k = (2^k*2)*cos(ka/2)cos^k(a/2) I can get it down to proving: 1 + cos(a) + cos(2a) + .... cos(ka) = 2^k*cos(ka/2)cos^k(a/2) But don't know where to go from there. I'm almost certain you need to use: 2cos(A)cos(B) =...
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    Places to find harder proofs questions (~extracurricular/olympiad type)

    I'm not sure but is this even true? Just subbing in a=1, b=2, c=3, d=4: x = 2.5 = 1.5 * 0.5 * -0.5 * -1.5 Which isn't 4? Unless I'm understanding the question wrong here
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    Carbon Vs Carbon-12

    This seems to be something that universally exists. (I may be wrong here) An element's protons and neutron's value (when looking at it holistically) is determined based on the relative abundances of the different isotopes. For example, Uranium is said to have 146 neutrons. This is because U-238...
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    Proof question help.

    Here's a brief rundown, reply if you want a more detailed response. Take 3 points A, B and C. Draw lines AB and BC, labelling their midpoints z and y respectively. Then, draw perpendicular lines at Z and Y such that they intersect with each other at a point (say O). You can easily prove...
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    Definite Integral

    Yes there is, but it's a pain to do, which is why we don't consider it compared to first principles for differentiation. I would write it out but it's a bit of a pain with Latex, so see 4:40 of this video:
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    Human Rights

    You probably want to do both - so a more general overview as to what each body does, and then a more specific analysis of how they help enforce human rights. Remember that enforcing and promoting are 2 very different things, so you need to identify the roles as such.
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    Quantitative chemistry

    Mol of H2S = 16/(1.008*2+32.065) = 0.469 mol Mol of SO2 = 20/(16*2+32.065) = 0.312 mol This means that since the ratio should be 2:1, andn since 0.469/2 = 0.235 (Rounding), the H2S is the limiting reagent. This means remaining SO2 = 0.312 - 0.469/2 = 0.077 As such, the remaining mass is...
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    Using accelerated prelim units as my prelim units in year 11

    Well it depends on the school. Some schools allow it, others don't (Because it gives students free periods). You'd have to check with the school
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    math help

    For reference, the formulas used are: 1/2*(sin(A+B)-sin(A-B)) = 1/2*(sin(A)cos(B)+sin(B)cos(A)-sin(A)cos(B)+sin(B)cos(A)) = 1/2*(2sin(B)cos(A)) =sin(B)cos(A) and 1/2*(sin(A+B)+sin(A-B)) = 1/2*(sin(A)cos(B)+sin(B)cos(A)+sin(A)cos(B)-sin(B)cos(A)) = 1/2*(2sin(A)cos(B)) =sin(A)cos(B) and then...
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    math help

    Sorry! https://educationstandards.nsw.edu.au/wps/wcm/connect/d5e591b6-a549-4700-9f1e-5960913f6b60/mathematics-advanced-ext1-ext2-reference-sheet-nov2019.pdf?MOD=AJPERES&CVID= Compound Angles section. Ask if you want a derivation
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    math help

    That's just the difference of 2 squares, so a^2-b^2 = (a+b)(a-b) Here my stupid face was trying to simplify sin^(27)(θ)-sin^(24)(θ)
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