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  1. I

    Maths 2U to 3U @ end of YR11?

    Just ask the head teacher or whoever if you can atleast try it until the first test, usually they will let you.
  2. I

    volumes q

    Lol, Don't worry it's not as hard as it looks :)
  3. I

    Integration - Area between 2 curves

    1. y=x^2/8\\\therefore dy/dx=x/4\\\text{ when: }x=4,dy/dx=-1\\\text{ When: } x=-4,dy/dx=-1\\\text{ The general equation of a line is : } y-y_{1}=m[x-x_{1}]\\ \therefore \text{tangent at : } (4,2)\text{is } y-2=1(x-4) =>y=x-2\\\text{similarly,second tangent is : } y=-2-x\\\text{ Now, when }x=o ...
  4. I

    volumes q

    x^2+y^2=8x\\x^2-8x+16+y^2=16\\(x-4)^2+y^2=16\\ \text{ draw the thing if you like}\\ \text{a Typical slice: } \Delta v= 2xy/3\\\therefore v=\lim_{\Delta x->0}\sum_{x=0}^{8}2xy/3.\Delta x\\=\lim_{\Delta x->0}\sum_{x=0}^{8}=2x/3\sqrt{16-(x-4)^2}.\Delta x \text{,By rearranging the equation of the...
  5. I

    Complex q's

    1)conjugate of z= conjugate of {10i-10/-8-4i]=conjugate of (10i-10)/conjugate of [-8-4i]- this is a rule therefore, conjugate of z=-10-10i/-8+4i =(-10-10i)(-8-4i)/(-8+4i)(-8-4i) =40+120i/80 =1/2+3/2i 2) a. (x+iy)^2=-3-4i \text{ ,where x and y are real}\\x^2+2xyi-y^2=-3-4i\\x^2-y^2=-3...
  6. I

    COmplex Numbers

    a) arg(z)=0 b) arg(z)=-pi c) arg(z)=pi/2 d) 0 < arg(z) < pi/2 e) -pi < arg(z) < -pi/2
  7. I

    Parametrics Query

    d=sqrt[(x2-x1)2+(y2-y1)2)]-distance formula. 4=sqrt{(x+3)2+(y-2)2} 16=(x+3)2+(y-2)2
  8. I

    Text books

    Hey guys, Currently I'm enrolled in : MATH1141 PHYS1131 COMP1911 ENGG1000 Does anyone know where I can buy the text books for these courses? Do past first years sell them for cheaper prices? As I heard they can be quite expensive. Thank you,
  9. I

    Higher Mathematics 1A

    Hey, For some reason when I attempt to enrol into MATHS1141, there's only 2 tutorials I can choose from and since 2 tuts are required , I have to choose both. However, one of them is a talented students tutorial and it says you need combined marks greater then 189 for mx1 and mx2, however my...
  10. I

    Extension One Revising Game

    Ψ=sin(nx/L) dΨ/dx=(n/L)cos(nx/L), assuming n and L are constants- if not then this is prob wrong lol d2Ψ/dx2=-(n2x)/L2)sin(nx/L) therefore, E.sin(nx/L)=(- ħ²/2m) .-(n2x)/L2)sin(nx/L) E=(- ħ²/2m) .-(n2x)/L2) =ħ²n2x/2mL2
  11. I

    tangent

    P(-4,4), Q(1,1/4), R(-3/2,-1) RTP:MPRxMRQ=-1 MPR=[4+1]/[-4+(3/2)]=5/[-5/2]=-2 MQR=[(1/4)+1]/[1+3/2]=1/2 LHS=MPRxMRQ=2x(-1/2)=-1= RHS The other one is done similarly.
  12. I

    Quick Check

    You probably forgot to change the speed into ms-1 y''(let the' indicate the . on top)=-g y'=-gt+40sin7 y=-5gt+40tsin7+2.4 x''=0 x'=40cos7 x'=40tcos7
  13. I

    Past HSC mathematical induction q's

    For n=3, LHS= (1-2/3)=1/3 RHS=2/(3(2))=1/3=LHS Assume true for n=k i.e. assume: (1-2/3)(1-2/4)(1-2/5)...(1-2/k)=2/(k(k-1)) Prove True for n=k+1, i.e. prove (1-2/3)(1-2/4)(1-2/5)...(1-2/k)(1-2/(k+1))=2/((k+1)k) LHS=(1-2/3)(1-2/4)(1-2/5)...(1-2/k)(1-2/(K+1)) =2/(k(k-1))x(1-2/(k+1)), by...
  14. I

    Mathematics Marathon

    =cosecx, as they cancel out.
  15. I

    Use of t-results in Integration

    Most probably the integral has a double angle in it. E.g. Cos2x- so just pretend the 2x = a, and then you can let t=tan(a/2) ,if you like.
  16. I

    Textbooks - Terry Lee !

    I don't think you can buy them in stores, rather you have to buy them off his website. HSC Coaching – Shop
  17. I

    If a person you know quite well still hasn't told you or other friends his/her UAI...

    Re: If a person you know quite well still hasn't told you or other friends his/her UA About 91.
  18. I

    If a person you know quite well still hasn't told you or other friends his/her UAI...

    Most probably, well bad for his standards- could be 99.95 for all you know :P
  19. I

    Volumes Q

    You're meant to know both methods, because in the HSC they generally have 2 questions each asking for a different method anyway...
  20. I

    estimation.

    Maths Ext 2 people.
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