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  1. IAU001

    MATH1131/1141 Limits question - pinching theorem

    this could potentially be a stupid question but how do i prove ththe following using the pinching theorem? this question is from the Limits chapter in the course notes for MATH1131 & 1141: %5Clim_%7Bx%5Cto%200%7D%20%5Cfrac%20%7Bsin%20%5Ctheta%7D%7B%5Ctheta%7D%20=%201 there was only one...
  2. IAU001

    honours program questions =]

    sorry to add to a what is, im sure, a long list of ignorant yr12s asking stupid questions but i was having a look at the UNSW website and was reading through the section on the 'Honours Program'. it happened to be pretty vague so i thought i'd come here instead with my questions. :spin: 1) Is...
  3. IAU001

    Formulae from the Jacaranda textbook

    anyone recommend knowing all those random formulas in the jacaranda textbook for this topic? the list is extensive and sooooo hard to understand lol far out. does anyone else think the textbook kinda goes overboard with this topic? =S
  4. IAU001

    Ionisation energy of Hydrogen?

    hey i read this q in the dot point book and i have absolutely no clue how to do it =S Use the Rydeberg equation to calculate the ionisation energy for hydrogen. the answer iss 13.625 eV. how do we get that? thanks in advance to anyone hu can help!
  5. IAU001

    Probability Question

    A fair six faced die with faces numbered 1,2,3,4,5,6 is tossed seven times. What is the probability that a "6" occurs on exactly two of the seven tosses? ANSWER: 21857/933121 = approx 0.2344 Thanks in advance :D
  6. IAU001

    Rates of Change Question

    A point moves anticlockwise around the circle x%5E%7B2%7D+y%5E%7B2%7D=1 at a uniform speed of 2m/s. (a) Find an expression for the rate of change of its x-coordinate in terms of x, when the point is above the x-axis. (the units on the axes are metres.) (b) Use your answer in part (a) to find...
  7. IAU001

    Conics: equation of chord proof (need help please)

    this is in the cambridge 4 unit textbook on pg 89 under the subheading 'ellipse'. i dont understand how they got from LHS to middle, and then from middle to RHS. im really weak in trig and dont understand how they did anything in this step. :confused:
  8. IAU001

    Is it possible to prove...

    How do I prove: (20<sup>22</sup> - 17<sup>22</sup> + 4<sup>33</sup> - 1) is divisible by 174. One thing I've noticed is that if you divide all the exponents of the numbers by 11, which would become (20<sup>2</sup> - 17<sup>2</sup> + 4<sup>3</sup> - 1) is exactly equal to 174. I don't know...
  9. IAU001

    Help me..factoring polynomials!

    How do i factor: a<sup>4</sup> + b<sup>4</sup> +c<sup>2</sup> – 2 (a<sup>2</sup>b<sup>2</sup> + a<sup>2</sup>c + b<sup>2</sup>c) <sup> </sup> Thanks
  10. IAU001

    a³ + 3a = 140

    I was just looking over my old yearly maths test paper when i saw this question. school's out so i can't ask my teacher. I would really appreciate it if you could help me on how to solve it. i'm kinda slow so a step by step procedure would be REALLY appreciated thanks in advance
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