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  1. J

    Help with HSC Past Paper Question - F=qvBsin(theta) and F=mv^2/r

    The given angle is irrelevant, vector v is still perpendicular to vector B.
  2. J

    Volume problem...

    What is a prism?
  3. J

    Volume problem...

    Uploaded with ImageShack.us
  4. J

    Mechanics!!!!

    No tricks. The given answer needs scrutiny.
  5. J

    Mechanics!!!!

    very true any other answers to the reaction force question (a few post back)?
  6. J

    Mechanics!!!!

    any other answers?
  7. J

    Mechanics!!!!

    Here is a simple mechanics question. A 1 kg block is at rest on a rough plane inclined at 30 degree angle to the horizontal. Find the magnitude and direction of the reaction force of the plane on the block.
  8. J

    hyperbola and circle

    Sorry that I misled you. I wonder why my mistakes were not pointed out. d^2=2a/(a+b) is ok. Points 0f contact of the 2 curves are at x=y=+/-sqrt(a/(a+b)), and gradient =-1. Hence b=0 and d=sqrt2.
  9. J

    hyperbola and circle

    at the point (2 of them) of contact, y=x, the circle and the hyperbola are symmetrical about the line y=x, .: a=b
  10. J

    hyperbola and circle

    try to sketch the two graphs meeting the constraints
  11. J

    hyperbola and circle

    y(ax+by)=c, x^2+y^2=d^2 using given info, x(ax+bx)=a, x^2+x^2=d^2 .: d^2=2a/(a+b) and the hyperbola must be tangential to the circle which requires a=b .: d=1
  12. J

    conditional probability

    4.3.2 / 6.5.4 = 1/5
  13. J

    conditional probability

    4^3 / 6^3 =8/27
  14. J

    Integration Question

    yes, I also like this type of questions
  15. J

    Integration Question

    2I=pi/2, I=pi/4
  16. J

    Nice circle geometry question.

    Uploaded with ImageShack.us Reasonable proof?
  17. J

    complex number

    Let z=rcis@, z^6=|z|^2, r^6 cis6@=r^2, cos6@ + isin6@=1/r^4, cos6@=1/r^4 and sin6@=0 .: 6@=2npi, @=npi/3, r=1 .: z=cis(npi/3) where n=0, +/- 1, +/- 2, 3. i.e. z=1, 1/2+irt3 /2, 1/2-irt3 /2, -1/2+irt3 /2, -1/2-irt3 /2, -1
  18. J

    Area

    Both (a) and (b) are right. stupid choices
  19. J

    vector

    3
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