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  1. M

    Difficult rates of change question

    No sorry, I don't
  2. M

    Difficult rates of change question

    Isn't the radius r/2 in this case as the base is r meters long ?
  3. M

    Induction involving geometry

    Hey all, I'm having a bit of trouble with the second step proving with this question: Suppose you have n lines in a plane, arranged so that no three of the lines are concurrent and no two of the lines are parallel. Show that , for n greater than or equal to 1 , n such lines divide the plane...
  4. M

    Derivative of Inverse Functions Help

    Thx for answering. In the answers, it was just -1 and I considered that the answer should vary depending on the domain...
  5. M

    Derivative of Inverse Functions Help

    Hey all, Could someone please try these questions to find the derivative : a) arcsin(cos x) b) arccos ( cosx) Thx and the problem is that the answer varies depending on domain ???
  6. M

    Difficult rates of change question

    Could we consider the conical container to be in the shape of a cone? and so use the cone volume to solve this?
  7. M

    Difficult rates of change question

    Ok, if i had to guess and from reading the question, it seems apex up.
  8. M

    Difficult rates of change question

    The question did not have an image to visualise the problem.... so im not sure.
  9. M

    Difficult rates of change question

    Hey all, the question is : A conical container with base angle pie/3 is being filled with water at the rate of 5 litres/sec. if the base is r metres and the height is h metres, find the height at which the rate of change in depth of water in the container is 1.19 metres/sec. The trouble...
  10. M

    Trigonometry help required

    Thx, just another 2 quick questions which link:Is it possible to rationalize the right hand side ? And if a question has a denominator like Sinx-cosx or Sinx-1 , are they able to be rationalized ?
  11. M

    Trigonometry help required

    Thx, nice working out. One aspect I noticed in the solution was that in order to answer my question by working on one side is to work backwards e.g 1= sin^2x + cos^2x . I rarely get questions which expect you to do that ...
  12. M

    Trigonometry help required

    Hey all, For this question: sec(2A) + tan(2A)= cos(A) + sin(A) /cos(A) -sin(A), I'm just wondering if it is possible to obtain the answer without cross multiplying at one stage or another ? e.g only working on the left side . Thx for helping
  13. M

    Series question help

    Nice to know that they are the essentially the same and the reasoning behind it.
  14. M

    Series question help

    Your helping me heaps asianese , thx. However, just curious as to whether we could use the sum of a geometric series formula instead of the sum to infinity formula to get the same answer?
  15. M

    Series question help

    Hey again all, The question is : An infinite geometric series is such that the sum of all the terms after the nth term is equal to twice the nth term. Show that the sum to infinity of the whole series is three times the first term. Thx For helping
  16. M

    Quadratic equation Problem

    Yeah, that's the equation however b^2-4ac=0 seems unsolvable
  17. M

    Quadratic equation Problem

    Thx for both replying. Just for part b, I'm not sure if this is correct however the equation seems unsolvable therefore the given equation doesn't have equal roots ?
  18. M

    Quadratic equation Problem

    Hey all, The problem is to : Form the quadratic equation with roots which exceed by 2 the roots of *3x^2-(p-4)^2x -(2p-1)= 0. Also find the values of p for which the given equation has equal roots. Thx all
  19. M

    Help: tricky geometry question

    Yep, I'm taking all that into account however still unable to determine how to find the other 2 vertices. By the way, thx for responding and helping out
  20. M

    Help: tricky geometry question

    I graphed it and found another vertex where they intersect as u said :). However could not determine the other two.
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