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  1. U

    HELP! question involving the irrationality of e

    ahhh got it now! thnx for the help :)
  2. U

    HELP! question involving the irrationality of e

    can u elaborate a bit more please? i can't see where to go.. thanx for ur help anyway :)
  3. U

    HELP! question involving the irrationality of e

    $For n = 1,2,3,..., let s_{\text{n}} = 1 + \sum_{r=1}^{n} \frac{1}{r!}$ $(a) Prove by mathematical induction that e - s_{\text{n}} = e\int_{0}^{1}\frac{x^n}{n!}e^{ -x}dx $(b) From (a), deduce that 0 < e - s_{\text{n}} < \frac{3}{(n+1)!}$ $ for n = 1,2,3,.... . [Remember that e < 3 and e^{ -x}...
  4. U

    HELP! question involving the irrationality of e

    i can do parts a),b) and c) but can't do part d) the upside down ! signs are < signs.. i'm not really good at using latex
  5. U

    Half Yearly Reports

    english advanced: =75/161 math ext 1: =3/95 math ext 2: =2/42 physics: =2/52 chemistry: =4/47 school is ranked 31st
  6. U

    How much of the HSC course have you completed?

    3u maths: 100% 4u maths: 90% hav a small fraction of mechanics and harder 3u to go chemistry: 65% almost finished CFCs physics: 65% finished the photoelectric effect english: 50% finished module A
  7. U

    Approximate my ATAR (pretty please?)

    99+ for sure i might even think 99.7 is possible
  8. U

    Subject you like/dislike most?

    like: MX1,MX2, chem, phys dislike: adv eng by far
  9. U

    markers comments from 2009

    something i would also like to know
  10. U

    Neutralisation reaction - enthalpy change

    most of the time enthalpy change is measured in kJ/mol. dont take my word for it but
  11. U

    Neutralisation reaction - enthalpy change

    donno if im right but a neutralisation reaction is a proton transfer. so when hydrochloric acid reacts with potassium hydroxide, so a hydrogen ion from the hydrochloric acid is transferred to the hydroxide ion of the potassium hydroxide. this is what causes the change in enthalpy. overall...
  12. U

    Ellipses - please help!!!

    your questions require you to find the tangent/normal so basically for these questions you need to know how to implicitly differentiate. so for example a) 2x/25 + (2y/9)(dy/dx) = 0 dy/dx = (-9x)/(25y). to be parallel to y = 2x, the gradient of tangent = 2. let dy/dx = 2 (-9x)/(25y) = 2 x =...
  13. U

    ATAR estimate

    i got 9/15. everyones really clumped together for english, and im pretty sure this will be my worst english mark cuz im really hopeless at speeches.
  14. U

    ATAR estimate

    hey can u guys give an estimate please? school rank 30 (expected to go up) advanced english: 89/162 3u maths: 3/100 4u maths: 5/40 physics: 2/45 chemistry: 2/45 thanks :D
  15. U

    sleep

    most times i sleep from 10:30pm to 6:30am
  16. U

    First assessments for 2010 HSC

    45/50 :D ranked 4/40something
  17. U

    Do HSC sciences need more maths?

    agreed, had 5 bloody ten markers in my first HSC assessment. and all of them were like "assess the significance of the manhattan project to society. 10 marks"
  18. U

    Complex Numbers Help

    the first one is clockwise and the second one is anticlockwise above the real axis its the opposite under the real axis. they hav the same magnitude but
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