(c) Now consider the particular parameter values C=2,alpha =0.3 and eta =0.5; that is,
c(t)=10(e^(-0.3t)-e^(-0.5t)),
where time t is measured in hours, and concentration c(t) is in mu (g)/(m)L.
What are the maximum and minimum concentrations of the antibiotic during the
first 18 hours after injection?
Use the second derivative test to show that that the internal extremum at some time
t_(M) with t_(i)c(t)tin[0,18]0 is indeed a maximum.
Also find the time t_(i) at which the inflection point occurs.
(d) Sketch the graph of c(t) for tin[0,18]. Indicate the maximum value, minimum value and
inflection point on your graph.
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(c) Now consider the particular parameter values C = 2, a = 0.3 and = 0.5; that is,
c(t) = 10(e-0.3t e-0.5t),
where time t is measured in hours, and concentration c(t) is in g/mL . What are the maximum and minimum concentrations of the antibiotic during the first 18 hours after injection? . Use the second derivative test to show that that the internal extremum at some time tM with 0< tM < 18 is indeed a maximum. . Also find the time ti at which the inflection point occurs.
d) Sketch the graph of c(t for t e [0,18]. Indicate the maximum value,minimum value and inflection point on your graph.