Recent content by RK455

  1. R

    How Does Mathematical Induction Prove Derivative Formulas?

    OK thanks :) A further question: This proof is actually part of my solution to Q20 part C on this paper: http://www.maths.cam.ac.uk/undergrad/nst-pastpapers/2009/PaperNST_IA_2.pdf I've managed to do the proof OK and get the required result but it seems a bit odd to me. I'm not sure why...
  2. R

    How Does Mathematical Induction Prove Derivative Formulas?

    Homework Statement Sorry I can't do this in latex, the PC I'm on doesn't display it and I can't confidently reel it off without checking so I'll have to do this in an ugly way! :/ Prove: d^n/dx^n [(x-1)^n] = n! For integer n Homework Equations I'm trying induction but it's never...
  3. R

    How Do You Calculate the Compression of a Ball Hitting a Wall?

    Homework Statement i) Find the average force exerted on a rubber ball mass m hitting a wall at speed v. The ball spends a time t in contact with the wall before bouncing off at speed v. ii) The change in KE of the ball from when it hits the wall to when it is instantaneously at rest iii)...
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