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math456

  • 2 years ago

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.

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  1. math456
    • 2 years ago
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    |dw:1347471338357:dw|

  2. math456
    • 2 years ago
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    @phi @Hero ??

  3. math456
    • 2 years ago
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    is it 150 from the left & the right?

  4. nj1202
    • 2 years ago
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    I believe so, at least judging by your sketch you made.

  5. math456
    • 2 years ago
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    okay and what about the significance?

  6. nj1202
    • 2 years ago
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    The significance is that the two-sided limit, or the limit as x approaches 12 exists.

  7. math456
    • 2 years ago
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    but its one sided limit!

  8. nj1202
    • 2 years ago
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    Is this the complete graph?

  9. math456
    • 2 years ago
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    |dw:1347471676369:dw| this is the complete graph

  10. nj1202
    • 2 years ago
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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.

  11. math456
    • 2 years ago
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    how is it 300 from the right?

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

  13. math456
    • 2 years ago
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    oh so u mean this: |dw:1347471976602:dw|

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

  15. math456
    • 2 years ago
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    alright i got it. Thanks for ur help..

  16. nj1202
    • 2 years ago
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    not a problem!

  17. phi
    • 2 years ago
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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.

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