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  1. F

    Probability

    Well, that explains why I couldn't find the answer. I've got it now, thanks. :D
  2. F

    Probability

    Thanks very much. Now I have another problem; A school committee is to be made up of 5 teachers, 4 students and 3 parents. a) If 12 teachers, 25 students and 7 parents apply to be on the committee, which is chosen at random, how many possible committees could be formed? This part I've figured...
  3. F

    Probability

    Thanks, now I have a new problem; A table has 4 boys and 4 girls sitting around it. a) Find the number of ways of sitting possible if the boys and girls can sit anywhere around the table. = 8P7 = 5040 b) If the seating is arranged at random, find the probability that; i) 2 particular girls...
  4. F

    Probability

    Thanks, but I'm still stuck on the last one...
  5. F

    Probability

    I'm having a lot of trouble with permutations and combinations, so I was hoping someone here could help me out with a few questions. Please make sure that you explain your working; I really want to understand this topic... The first question asks; A queue has 4 boys and 4 girls standing in...
  6. F

    Functions

    Apparently the answer is 3x - 9y - 22 = 0, x > 4/3, but so far these sheets have been fairly unreliable, so who can tell?
  7. F

    Functions

    I'm not sure how to tackle this question, can anyone help me out? It asks; The point P (x, y) is equidistant from the lines y = -2 and 3x - 4y - 12 = 0, and lies in the shaded region of the diagram. Find the equation of the locus of P.
  8. F

    Trigonometry

    Time for another question; A triangle PQR is right-angled at Q. S is the point on PR such that QS is perpendicular to PR. Let angle RPQ = x. You are given that 2PS - QR = PR. a) Show that 2cosx - tanx = secx. b) Deduce that 2sin2 + sinx - 1 = 0. c) Find x.
  9. F

    Plane Geometry

    Okay guys, got time for one more? Here it is; The rectangles ABCD and DFBE are congruent with BA = FD = 7 and DA = ED = 3. a) Show that the length AT = 20/7 b) Find the area of the quadrilateral BWDT.
  10. F

    Plane Geometry

    Man, I can't believe I forgot about the sine rule. Thanks. :)
  11. F

    Plane Geometry

    Got another one for you. I'm having trouble with the second part of this question. I'm not sure if I should use the cosine rule or if there's a better method. It asks; The triangle ABC is isosceles, with angle BCA = ABC = 72o and sides AB = AC = 1 unit. BD Bisects angle ABC and BC = x. a)...
  12. F

    Plane Geometry

    Thanks guys, that really clears that up. :)
  13. F

    Plane Geometry

    Lets see if anyone can help me out of this one; ABC is a triange, in which AQ bisects angle CAB and angle PBA = angle BCA prove that PB = QB.
  14. F

    Applications of Calculus

    It's a bit late, but thanks for your help. ;) Now I've got a new problem; A ball is projected horizontally from a cliff of height 245m, and reaches the ground at a horizontal distance of 350m from the foot of the tower. Determine the intitial velocity V, and the velocity (direction and...
  15. F

    Trigonometry

    Maybe, which would explain why I was having such a hard time solving this. The solutions for the papers I'm working on have proven rather unreliable. I'll ask my maths teacher next time I get a chance.
  16. F

    Coordinate Geometry

    Can anyone help me out with this coordinate geometry question? It asks; The diagram shwos the points A (-2, 0), B (1, 4) and the point C which lies on the x-axis. D us the midpoint of the interval AC. F is a point on AB such that DF is parallel to BC. a) Find the gradient of AB. Easy, the...
  17. F

    Trigonometry

    I'm stuck on this trigonometry question, can anyone help me out? It asks; In the figure, ABCD is a rhombus in which AB = 60cm, and angle A = 60o. P is a point on AD and AP = AQ = 2cm. Angle PQC = xo. P is joined to C. a) Write down the length of PQ, gibing reasons. b) Show that PC = QC c)...
  18. F

    Integration

    Hmmm... My working turns out quite close to the answer, maybe the solutions are wrong... EDIT: Yeah, that's what I got.
  19. F

    Integration

    The answer on the worksheet is pi(4√(3) - 19/3) units3. I didn't get this answer when subbing in the numbers...
  20. F

    Integration

    One more time; The region bounded by the curve y = 2√(x) - 1, the lines x = 3, x = 4 and the x-axis is rotated about the x-axis. Find the volume of the solid of revolution formed. Here's my working... = y2 = (2x1/2 - 1)2 = y2 = 4x - 4x1/2 + 1 = V = pi 34∫ (4x - 4x1/2 + 1) = V = pi[2x2 -...
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