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Homework Help: I need help

  1. Aug 30, 2005 #1
    Suppose that the function T has period 7 and that T(0)=3.

    Explain why T(-30)=T(40)?


    Is it normal that teacher just tells you to read stuff in book and then do your homework, without explaining it? She was "teaching" some stupid stuff about graphing f(x)=(x-1)^2 + 2, which they teach you in Alg I and then gives you questions about periodic equations. Last two days one girl and me were the only ones to be able to do the homework. :mad:
     
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  3. Aug 30, 2005 #2

    LeonhardEuler

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    Gold Member

    If a function has a period, that means it repeats. Since the period is seven, that means that T(0)=T(7)=T(14)=... and that T(1)=T(8)=T(15)=.... In general it means that whatever value the function has at "a", it will have the same value at "a+7", "a+14", and so on. Do you see the solution now?
     
  4. Aug 30, 2005 #3

    Doc Al

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    Staff: Mentor

    What's the meaning of period? If the period is 7 (as given), what can you say about T(x) compared to T(x +7)?
     
  5. Aug 30, 2005 #4
    I understand that every 7 the function repeats. But if I go 7 in positive and 7 in negative direction then I should have T(40)=T(-40) or T(30)=T(-30). Or am I missing something?
     
  6. Aug 30, 2005 #5
    O damn. I got it. My bad. Thanks for help.
     
  7. Aug 30, 2005 #6

    Doc Al

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    Staff: Mentor

    You're missing something. Complete this list:
    T(-30) = T(-30 + 7) [which is T(-23)] = T(-23 +7) ... and so on...
     
  8. Aug 30, 2005 #7
    Shame on me. I calculated that there are 50 numbers between -30 and 40. I guess I'm to pised off.
     
  9. Aug 30, 2005 #8

    HallsofIvy

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    Science Advisor

    Last I checked 40-(-30)= 70 which is a pretty obvious multiple of 7!
     
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