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  1. hermine

    SHM questions

    partical moving SHM has acceleration= -9x, x=metres, t=seconds x=asin(3t + B) is a possible equation for motion initially accleration= 18 m/s2, after 5pi/18 seconds velocity=12 m/s. Show the amplitude =4m and particle moving along a horizontal line has an acceleration = -4x, x=metres...
  2. hermine

    Integration question

    I_%7Bn%7D=%5Cint_%7B0%7D%5E%7B%5CPi%20/4%7D%20tan%5E%7B2n%7Dx%5C:%20dx,%20n%5Cgeq%201,%20show%5C,%20I_%7Bn%7D+I_%7Bn-2%7D=%5Cfrac%7B1%7D%7B2n-1%7D I made tan^2n(x) = [tan^2(x)]^n then = [tan^2(x)]^n-1 . tan^2(x) but then got stuck lol, thaanks in advance
  3. hermine

    1993 HSC harder probability question

    el annoyance that it probably is an easy question, thanks in advance In the next 7 days, called day 1, day 2, ... , day 7, Esther and George must each take 3 days in a row off work. They choose their consecutive 3 days randomly and independently of each other. i. Show that the probability that...
  4. hermine

    Some Permutations Qs Cambridge

    Have been annoying me for a while, appreciate the help 1) For the word UNIFORM, how many arrangements are possible if M is somewhere to the right of U? 2) Five Backpackersarrive in a city with five youth hostels. Suppose two backpackers are brother and sister, so wish to stay in the same...
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