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krypton Group Title

i need help with number 3 a and b

  • 2 years ago
  • 2 years ago

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  1. krypton Group Title
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    • 2 years ago
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  2. krypton Group Title
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    pls help

    • 2 years ago
  3. ivanmlerner Group Title
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    The opposite of derivative is integration, so in a you need to integrate once and on b, twice. Since the indefinite integral (with no limits of integration) gives you an arbitrary constant that disapears when you derivate, you need a way to find that constant because any number would satisfy the derivative formula since it would disapear when you derivated, thats why they give you one value of the function you want to find. Is it too confusing the way I explained or you got it?

    • 2 years ago
  4. krypton Group Title
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    b was the confusing one,so am to integrate t-cosx 2twice?

    • 2 years ago
  5. ivanmlerner Group Title
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    Yes, because you are derivating twice, but then you get 2 arbitrary constants.

    • 2 years ago
  6. krypton Group Title
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    whats this for dy(0)/dx=2 what do i need it for?

    • 2 years ago
  7. krypton Group Title
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    my first integration i got tx-sin(x)+c

    • 2 years ago
  8. ivanmlerner Group Title
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    Your integration is fine and now you need to determine c, thats when you use dy(0)/dx=2, because by integrating once, you got dy/dx

    • 2 years ago
  9. krypton Group Title
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    so how do i use this dy(0)/dx=2?

    • 2 years ago
  10. ivanmlerner Group Title
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    tx-sin(x)+c=dy/dx so t*0-sin(0)+c=2 Do you understand that?

    • 2 years ago
  11. krypton Group Title
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    yeah

    • 2 years ago
  12. krypton Group Title
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    so what about the y(0)=-2?

    • 2 years ago
  13. ivanmlerner Group Title
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    you have dy/dx, but you want y, so you integrate again, and youll need this to find the other constant.

    • 2 years ago
  14. ivanmlerner Group Title
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    So, did you got the answer?

    • 2 years ago
  15. krypton Group Title
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    i will integrate this tx-sin(x)+c again?

    • 2 years ago
  16. ivanmlerner Group Title
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    yes

    • 2 years ago
  17. ivanmlerner Group Title
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    because it is equal to dy/dx, and you want y

    • 2 years ago
  18. krypton Group Title
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    i got (tx^2/2)+cos(x)+c

    • 2 years ago
  19. ivanmlerner Group Title
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    you forgot to sonsider the constant of the previous integration

    • 2 years ago
  20. ivanmlerner Group Title
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    There will be two constants in this case, because its the second derivative.

    • 2 years ago
  21. krypton Group Title
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    cx+tx^2/2+cos(x)+c?

    • 2 years ago
  22. ivanmlerner Group Title
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    Yep thats it, but keep in mind that the c's are different, and the first one you should already have it as a number

    • 2 years ago
  23. krypton Group Title
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    the 1st one is 2 right?

    • 2 years ago
  24. ivanmlerner Group Title
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    yes

    • 2 years ago
  25. krypton Group Title
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    ok thanks alot for your help :)

    • 2 years ago
  26. ivanmlerner Group Title
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    You are welcome

    • 2 years ago
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