The amount of an antibiotic (in mg) in the blood t hours after an intravenous line is
Question:
The amount of an antibiotic (in mg) in the blood t hours after an intravenous line is opened is given by
m(t) = 100(e-0.1t - e-0.3t).
a. Use the Intermediate Value Theorem to show the amount of drug is 30 mg at some time in the interval [0, 5] and again at some time in the interval [5, 15].
b. Estimate the times at which m = 30 mg.
c. Is the amount of drug in the blood ever 50 mg?
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Step by Step Answer:
a Note that m0 0 and m5 3834 and m15 212 Thus 30 is an intermediate value between bo...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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