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math456 Group Title

Need help: A patient receives a 150-mg injection of a drug every 4 hrs. The graph shows the amnt f(t) of he drug in the blood steam after t hours. Find lim of f(t) as t approches to 12(left) and 12(right)m and explain the significance of these one-sided limits.

  • one year ago
  • one year ago

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  1. math456 Group Title
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    |dw:1347471338357:dw|

    • one year ago
  2. math456 Group Title
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    @phi @Hero ??

    • one year ago
  3. math456 Group Title
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    is it 150 from the left & the right?

    • one year ago
  4. nj1202 Group Title
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    I believe so, at least judging by your sketch you made.

    • one year ago
  5. math456 Group Title
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    okay and what about the significance?

    • one year ago
  6. nj1202 Group Title
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    The significance is that the two-sided limit, or the limit as x approaches 12 exists.

    • one year ago
  7. math456 Group Title
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    but its one sided limit!

    • one year ago
  8. nj1202 Group Title
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    Is this the complete graph?

    • one year ago
  9. math456 Group Title
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    |dw:1347471676369:dw| this is the complete graph

    • one year ago
  10. nj1202 Group Title
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    oh well that's much different then! The limit from the left is 150. The limit from the right is 300. The significance is that the limits from the left show the medicine in the blood left and the limit from the right shows how much medicine the patient has in the blood after another dose.

    • one year ago
  11. math456 Group Title
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    how is it 300 from the right?

    • one year ago
  12. nj1202 Group Title
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    Well, I'm assuming that the open circle is supposed to be directly above the shaded circle at x=12?

    • one year ago
  13. math456 Group Title
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    oh so u mean this: |dw:1347471976602:dw|

    • one year ago
  14. nj1202 Group Title
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    Exactly. If it's directly above, then you follow the graph from either side. You've got it!

    • one year ago
  15. math456 Group Title
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    alright i got it. Thanks for ur help..

    • one year ago
  16. nj1202 Group Title
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    not a problem!

    • one year ago
  17. phi Group Title
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    The significance of these one-sided limits is that they indicate a discontinuous change in the amount of drug, caused by the injection.

    • one year ago
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