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math456
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.
is it 150 from the left & the right?
I believe so, at least judging by your sketch you made.
okay and what about the significance?
The significance is that the two-sided limit, or the limit as x approaches 12 exists.
but its one sided limit!
Is this the complete graph?
|dw:1347471676369:dw| this is the complete graph
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.
how is it 300 from the right?
Well, I'm assuming that the open circle is supposed to be directly above the shaded circle at x=12?
oh so u mean this: |dw:1347471976602:dw|
Exactly. If it's directly above, then you follow the graph from either side. You've got it!
alright i got it. Thanks for ur help..
The significance of these one-sided limits is that they indicate a discontinuous change in the amount of drug, caused by the injection.