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  1. whitecorp

    Mathematics: Post your doubts here!

    Both are equally fine. Don't sweat this small detail. Peace.
  2. whitecorp

    Mathematics: Post your doubts here!

    Hopefully this will help in clearing your doubts: Peace.
  3. whitecorp

    Full Version of A Level Mathematics Quick Tips Part 1 (android apps) now available

    My sincere apologies for the late reply. Well over here in Singapore we have a different version of the A level examinations (still administered by Cambridge though) which is basically categorized into 3 levels of difficulty: Higher 1, Higher 2 and Higher 3. Most students attempt the H2...
  4. whitecorp

    Maths, Addmaths and Statistics: Post your doubts here!

    No problem, am glad it helped. Peace.
  5. whitecorp

    Mathematics: Post your doubts here!

    The key idea is to first find the unit vector representing vector AC, and since this would have a magnitude of 1, we can simply multiply it by a factor of 30 to scale it to the required length. In other words, the required vector is simply equal to 30* unit vector of AC. Hope this helps. Peace.
  6. whitecorp

    Mathematics: Post your doubts here!

    There you go. Hope it helps. Peace.
  7. whitecorp

    Full Version of A Level Mathematics Quick Tips Part 1 (android apps) now available

    Sorry I don't quite get your question. You are referring to the H2 maths thingy?
  8. whitecorp

    Mathematics: Post your doubts here!

    Here you go, the full solutions for your 1st order differential equation problem. Hope it helps. Peace.
  9. whitecorp

    Full Version of A Level Mathematics Quick Tips Part 1 (android apps) now available

    After some rather tedious coding and writing work, I am pleased to announce that Part 1 of the A Level Mathematics Quick Tips Apps is now available for sale HERE: http://www.whitegroupmaths.com/2012/09/apps-level-mathematics-quick-tips-part.html Reasonably priced at $1.50, so get it to...
  10. whitecorp

    Mathematics: Post your doubts here!

    You will have to complete the square such that it is in the form y= a(x-b)^2 +c. Then if a>0, the minimum point is given by (b,c) ; if a<0, the maximum point is given by (b,c) . Alternatively, you can use calculus, ie find dy/dx and set this derivative =0 to obtain the coordinates of the...
  11. whitecorp

    Mathematics: Post your doubts here!

    Notice that the integral is basically of the form f"(x) * e^ f(x), which should simply reduce to e^f(x) +C. Note though certain adjustments must be made to the constants (ie f(x)=-3x^2, which yields f'(x)=-6x, where clearly within your problem the constant -6 is missing). Hope this helps. Peace.
  12. whitecorp

    Mathematics: Post your doubts here!

    No problem, am glad to be of assistance. Peace.
  13. whitecorp

    Mathematics: Post your doubts here!

    You can take a look at this to get some inspiration: http://www.whitegroupmaths.com/2012/05/understanding-matters-6.html Hope it helps. Peace.
  14. whitecorp

    Mathematics: Post your doubts here!

    You can calculate the area under the line CD between x=2 and x=3 (which is a trapezium) and subtract from it the area under the curve y=x^3-6x^2+9x between x=2 and x=3 (you can do this through basic integration) to get your answer. Hope this helps. Peace.
  15. whitecorp

    Mathematics: Post your doubts here!

    I will help you sort out Q5 first: Hope this helps. Peace.
  16. whitecorp

    Mathematics: Post your doubts here!

    The particle B is resting on the ground, hence as A moves forward, the string is no longer taut. You can try to visualize this to convince yourself. Hope it helps. Peace.
  17. whitecorp

    Mathematics: Post your doubts here!

    For the second part, the string has slackened and hence there will be no more tension in it. Clearly, since A is part of the original connected system, when T=0, its acceleration will also change accordingly. Hope this helps. Peace.
  18. whitecorp

    Mathematics: Post your doubts here!

    Here are the full detailed workings: Hope this helps. Peace.
  19. whitecorp

    Mathematics: Post your doubts here!

    My bad, I misread your second set of coordinates as (-1,-16) when it should be (1, -16). Simply make the adjustments and you will get the correct answer. Hope this helps. Peace.
  20. whitecorp

    Maths, Addmaths and Statistics: Post your doubts here!

    You could try my collection of worked problems over here: http://www.whitegroupmaths.com/2010/03/functions.html http://www.whitegroupmaths.com/2012/01/functions.html In addition, I have written a summary involving functions which you can download for free here...
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