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  1. 2

    Quick Question

    Hey guys, I sorta know this, but don't know how to properly explain/express it. So a bit of help would be great! f(x) = 3 - e^(-x) Show that f1(x) > 0 for all x what is lim x->infinity f(x) ?
  2. 2

    Use of Radian Measure

    And I hold true to my word. this one please: Simplify: 2cos^(2)3x - 1 where x = 2pi/9 thanks!
  3. 2

    Use of Radian Measure

    thanks for that. just a question, how did you get from line 2 to line 3? edit: nah i got it. got pi confused, thought it equalled 90 degrees.
  4. 2

    Use of Radian Measure

    Hey, I'm really struggling with this stuff, so theres probably more to come. Prove: tan (θ + π/4) tan (θ - π/4) = -1
  5. 2

    Applied Trig

    thanks! exactly what i needed. :) wont let me rep you though.
  6. 2

    Applied Trig

    Hey, I need help with a trig question please: From a point P an observer finds that the angle of elevation of the top of a vertical tower is α°. After walking x metres horizontally towards the foot of the tower, the observer finds that the angle of elevation is β°. If the height of the tower is...
  7. 2

    Relationship between roots and co-efficients

    Hi, I need help with this question please: Find the cubic equation whose roots are twice those of the equation 3x^3 - 2x^2 + 1 = 0 thanks in advance
  8. 2

    Induction Help

    THANKS! that helped alot. well done!
  9. 2

    Induction Help

    Hi, i need help with a question about induction plocks: Prove the following by induction where n is a positive integer: x^n - 1 is divisible by x-1 and (sepereate question) n(n+1)(n+2) is divisible by 3 cheers.
  10. 2

    Suggested Answers

    Hey, does anybody know of a website where i can see suggested band 6 answers from previous HSC questions (for PDHPE, Advanced English, Maths 3 unit, Biology, Chemistry)? thanks in advance
  11. 2

    locus

    cheers mate, i knew it was something simple just couldnt work it out myself. Yeah, I meant to put it in the maths forums. Woops Thanks
  12. 2

    locus

    The distance of a point from the line x=4 is equal to its distance from y=1. Find the equation of the locus. I know there are two answers, I just keep ending up with x + y = 5 and not getting x - y = 3. How do I solve this properly?
  13. 2

    locus

    The distance of a point from the line x=4 is equal to its distance from y=1. Find the equation of the locus. I know there are two answers, I just keep ending up with y + x = 5 and not getting y - x = 3. How do I solve this properly?
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