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  1. W

    a money puzzle question (equations)

    I may have solved it :p Ok my equation is 2x1 + 5x2 + 10x3 + 20x4 = 100 You can use the fact that there are limited numbers of possible ways of making 100 when you're restricted to a multiple of 10 plus a multiple of 20. So i'm temporarily combining x3 and x4 So for example you can have: 20 +...
  2. W

    Exponential and Logarithmic Functions

    True, but you don't explicitly need to use substitution (despite my solution :p). It's like 2u questions that ask you to integrate things like x/(x2 + 1) So just change the original question to 1/3(3x2ex3-1) and then just observe that you have an exponential times the derivative of the power of...
  3. W

    Exponential and Logarithmic Functions

    I assume it's x2ex3-1 Observe that when you differentiate x3 - 1 you get 3x2 So the substitution is u = x3- 1
  4. W

    Exponential and Logarithmic Functions

    x = ey (Make the subject x because you're finding area between y axis and curve) So integrate that from 1 to 3. Int(eydy) = ey = e3 - e
  5. W

    Integration question

    cos(2x)sin(4x) = cos2x * 2sin(2x)cos(2x) =2 cos2(2x) * sin(2x) Then just use the substitution u = cos2x EDIT: Slidey's way is probably how it's meant to be done :p. I think they both work though...
  6. W

    Find all x such that sinx = cos5x

    Sorry, should have made that more clear... It's the general solution: cosx = cos(2kpi +/- x) so in this case we have cos(pi/2 - x) = cos (2kpi +/- (pi/2 - x))
  7. W

    Find all x such that sinx = cos5x

    sinx = cos (pi/2-x) So we have cos (2kpi + pi/2 - x) = cos5x 5x = 2kpi + pi/2 - x 6x = 2kpi + pi/2 x = kpi/3 + pi/12 x = pi/12, 5pi/12, 9pi/12 EDIT: I'm missing a couple of solutions, give me a minute :p Ok other solutions are cos (2kpi - (pi/2 - x)) = cos5x 2kpi - pi/2 + x = 5x 4x = 2kpi -...
  8. W

    BSc means UNEMPLOYMENT, true or false?

    Hi Bob :wave: Typo. Sounds like a good plan. Come to usyd :uhhuh:
  9. W

    does EVERYONE change their timetable?

    Very unlikely it can be resolved. The SSP units can be very cruel with clashes. With the MATH1906 seminar, that is compulsory, although I do know that at least one person was allowed to miss the MATH1907 seminar in second semester for half the time (a bio prac that ran only half the weeks i...
  10. W

    txtbooks

    For maths - there isn't a textbook you need to get, but you do need the lecture notes and they're different for normal and advanced. For physics the textbook (university physics) is the same for both normal and advanced and it is useful - it is probably advisable to buy it, but as with all...
  11. W

    enrolling in tutorials

    Ok i should have read that more carefully :p. I just saw it said o-week on the wednesday, but now i think about it it must have been earlier last year because i think went in and got my timetable changed on the monday.
  12. W

    Longest holidays/break

    Lol pretty much all of them are the same - two 13 week semesters plus a two week exam period in each semester is pretty much standard - give or take a week. The starting and finishing dates can vary though. Some unis (such as USYD) have a one week break for midsemester, while others have two and...
  13. W

    enrolling in tutorials

    Yeah you don't enrol in tutes - your timetable will allocate you a tutorial, although it is often possible to change it for your convenience. Usyd is annoying though - no timetables until o-week :( EDIT: got beaten :(
  14. W

    Saftey Glasses

    Haha there are just after the lecture. Other times it shouldn't be too bad.
  15. W

    Saftey Glasses

    I did chem at USYD last year - you can buy safety glasses when you buy your lab book - ie in week 1. They tell you where in lectures.
  16. W

    BoS USyd Roll Call 2008

    webby234 Bachelor of Science (Advanced) II
  17. W

    Question: First Year Chemistry, please help!

    You do need CHEM1102 to do further uni chem, but if you get a Distinction in CHEM1001, you can move into CHEM1102. Having said that, it is always possible to catch up. I did CHEM1101 without HSC chem or a bridging course and got a Distinction. I found the labs the hardest given my previous...
  18. W

    3D Trigonometry

    A is due north of O and C is due east of O, so there is a right angle between OA and OC.
  19. W

    Permutations and Combinations are CRAZY HARD.

    Total possible committees: 12C5 * 25C4 * 7C3 Committees that involve a specific student and her parent: Of the remaining 6 parents, 2 of them get chosen. Of the remaining 24 students, 3 of them get chosen, and 5 of the 12 teachers are still to be selected. So it's 12C5 * 24C3 * 6C2 =...
  20. W

    Find the exact value of tan 22.5 by using tan 2x - Can't do.

    x = 45 tan 45 = 2tan22.5/(1 - tan222.5) = 1 1 - tan222.5 = 2tan 22.5 tan222.5 + 2tan 22.5 - 1 = 0 tan22.5 = -2 +/- rt(4 + 4)/2 (quadratic formula) = -1 +/- rt2 = -1 + rt2 as it is in the first quadrant and therefore positive
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