17 MARK Differentiation Question | A Level Maths

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  • เผยแพร่เมื่อ 27 ธ.ค. 2024
  • Can you tackle this 17-mark differentiation question? Watch as we break down this challenging A Level Maths problem step by step. Perfect for exam prep or brushing up on your calculus skills!
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ความคิดเห็น • 14

  • @ib9rt
    @ib9rt 6 วันที่ผ่านมา +3

    So, for part (c), one can disregard the partial fractions bit in (b), and directly integrate dV/dt = − kV to get V/V0 = exp[ −k(t−t0) ], and then substitute for V in terms of h at the end, where h0 = 5 and t0 = 0: [ ⅓πh²(15−h) ] / [ ⅓π5²(15−5) ] = exp(−kt). The ⅓π cancels and this directly gives the result requested. Would this be accepted to get the marks, where you take the "smart" option and disregard the suggested path? (In earlier years, exam papers would have the text "using this result or otherwise, show that...". I notice recent papers do not seem to include such text.)

    • @loredfolk1069
      @loredfolk1069 6 วันที่ผ่านมา +1

      bro why are you back here yapping

    • @farhanshaqib8746
      @farhanshaqib8746 5 วันที่ผ่านมา

      Shush

    • @Endermanv-ot2if
      @Endermanv-ot2if 5 วันที่ผ่านมา

      yh you are smater than the wasteman examiner so it will work ez

    • @amritlohia8240
      @amritlohia8240 3 วันที่ผ่านมา

      Yes, this would be accepted. Only if it says "hence", "deduce that", or "using ..." (or similar wording) do you have to use previous results - otherwise, you're free to use any valid approach.

    • @ib9rt
      @ib9rt 3 วันที่ผ่านมา +1

      @@amritlohia8240 Thanks for the reply.

  • @Jamesdavey358
    @Jamesdavey358 6 วันที่ผ่านมา +1

    4:55 no K would be 3 time smaller right?

    • @blackaipha3541
      @blackaipha3541 4 วันที่ผ่านมา

      No theirs would be 3 times smaller not his

  • @uhcyo
    @uhcyo 6 วันที่ผ่านมา +8

    bro did not cut the bit

  • @chronos2262
    @chronos2262 5 วันที่ผ่านมา +2

    I don't understand what he meant when he said, "h-15 = 0," then implied that on the numerator, and made h = 0 in the denominator. Can someone explain?

    • @amritlohia8240
      @amritlohia8240 3 วันที่ผ่านมา

      If you're talking about 8:08 onwards, it's a technique called the "cover-up rule" - you can just Google it and you'll see many explanations of it.

    • @nighthaunter5615
      @nighthaunter5615 3 วันที่ผ่านมา +1

      cover up method of doing partial fraction decomposition. its just a simplified way of looking at a pretty normal way of solving for the constants in the numerator (you multiply by the terms of the denominator on both sides of the equation, select values for the unknown variable which would make a particular constant=0). you can work out the math for yourself by solving it algebraically, you'll find the method is doingn exactly that
      blackpenredpen has a nice video on the cover up method for partial fraction decomposition

  • @OsmanHamza126
    @OsmanHamza126 6 วันที่ผ่านมา

    easy peasy squeeze the 🍋