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  1. M

    4u txtbooks

    the terry lee one is good because it has the complete worked solutions but still better the have another textbook ie the cambridge aswell
  2. M

    No-Doz Plus... shortening my lifespan?

    from what i know the caffeine content of a no-doz pill is the same as a cup of coffee.
  3. M

    Tangents and Normals

    The method for all three questions is the same: For (1): Rearranging 2x - y + 1 = 0: y = 2x + 1 Gradient = 2 diff. y = x^2: dy/dx = 2x therefore: 2x = 2 x =1 ie at x=1 the tangent is parralel to 2x- y +1 = 0
  4. M

    Parabolic question

    oh no posts are out of order...
  5. M

    Parabolic question

    let the parabola be y =ax^2 + bx + c Sub (0,-2): -2 = C Sub (1,0): 0 = a + b -2 2 = a + b ____________(1) Sub (3,-8): -8 = 9a + 3b -2 -6 = 9a + 3b -2 = 3a + b____________(2) (2)-(1): -4 = 2a -2 = a b = 4 therefore parabola is y = -2x^2 +4x -2
  6. M

    bromine water-br2(aq)? HOBr? Question on prac

    HOBr is Hypobromous acid. I agree with your tutors equation. Also the first equation does have water: C6H10 + Br2 <b>(aq)</b> --> C6 H10 Br2 Ill take a stab in saying that the top layer is 1,2-dibromocyclohexane since it would have a density lower than water.
  7. M

    Mathematical Induction (MI) (Mission Impossible :S)

    ie Prove: a + ar + ar^2 .......+ar^(n-1) = a(1-r^n)/(1-r) Test n =1: LHS = a RHS = a(1-r)/(1-r) = a Assume n=k: a + ar + ar^2 .......+ar^(k-1) = a(1-r^k)/(1-r) Prove n=k+1: a + ar + ar^2 .......+ar^(k-1) + ar^k = a(1-r^k)/(1-r) +ar^k =a(1-r^k)/(1-r) +ar^n(1-r)/(1-r) =a(1-r^k + r^k -...
  8. M

    Best+Worst of Teacher Quotes and Habits

    Chem: Teacher: "And the electron comes over here and goes. oooooh thats a bit alright!" --------------------------- Me: Can we make rainbow fizz sir? Teacher: No Me: Can we make rainbow fizz sir? Teacher: No Me: Can we make rainbow fizz sir? Teacher: Oh alright but ony...
  9. M

    Speeches! Help!

    i agree, except with lincoln they was already been specified in 01 i thnk it was
  10. M

    Music 1 - General thoughts

    anyone know the name of the 3rd piece? i think it was by blood sweat and tears. i want that annoying tpt one :D
  11. M

    Help me decide...

    supermarket jobs suck! lifting, stacking, facing...its soooooo boring go for rodger david!
  12. M

    Alkanes and Alkenes

    because of the double bond, there is four electrons close together, negative charges repel, thus it is more reactive
  13. M

    Music 1 - General thoughts

    Re: Music one 1 F**K yeah!!! when the cheesy drum came in, in the piece with the trumpet our whole class pissed themeslves.
  14. M

    Chilli

    holyfuckilovechilli
  15. M

    How do u find the area bounded by the parabola and the latus rectum

    alternatively you could consider the: area = are of rectangle - the area between the parabola and the x-axis ie: Area = 4a*a - Int(between -2a and 2a)[(x^2)/4a] = 4a^2 - (4a^2)/3 = (8a^2)/3
  16. M

    Help needed with Cambridge Integration Question

    first you need the subsitution u=x - π/2 du = dx and also to recognise that: cosx = cos(u + π/2) = cos(u)cos(π/2) - sin(u)sin(π/2) = - sin(u) then get you to first part, then since its odd and the intergral is between a and -a (in this case pi/2) its equal zero.
  17. M

    Drawing Displacement from Velocity (Motion Graph)

    -gradient = acceleration -area under the curve = displacement
  18. M

    a quick question on application of calculus

    ooops lol sry my bad: x'' = -4.3cos2t = -12cost2t = -4(x-1)
  19. M

    a quick question on application of calculus

    x=1+3cos2t x'= -2.3sin2t = -6sin2t x'' = -4cos2t = -4x from: x'= -6sin2t |sin2t|<=1 therefore max speed when |sin2t|=1; x' = -6 therefore max speed is 6m/s
  20. M

    Induction question

    Maybe meant to be: Prove 5^n >= 4^n + 3^n for n >= 2 Test n=2; LHS = 25 RHS = 19 + 9 = 25 Assume for n=k; 5^k >= 4^k + 3^k Prove for n = k + 1; 5^(k+1) >= (4^k+3^k)*5 >= 5*4^k + 5*3^k >= 4*4^k + 3*3^k...
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