\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Courses
About
Login
Register
C
⌫
\(\pi\)
e
\(\frac{a}{b}\)
!
←
→
(
)
\(\sqrt{\,}\)
\(a^{b}\)
7
8
9
\(\div\)
log
ln
4
5
6
\(\times\)
cos
cos⁻¹
1
2
3
-
sin
sin⁻¹
0
.
=
+
tan
tan⁻¹
The concentration of a drug in a patient's bloodstream, \(C\), in milligrams per litre (mg/L), is modelled by the function:$$ C(t) = 80(e^{-0.2t} - e^{-1.5t}) $$where \(t\) is the time in hours after the drug was administered.
Find the concentration of the drug in the bloodstream after 2 hours.
Use your graphing display calculator to find the maximum concentration of the drug and the time at which it occurs.
Find the rate of change of the drug's concentration at \(t=4\) hours. Interpret the meaning of your answer.
Determine the long-term concentration of the drug in the bloodstream, justifying your answer.
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.
Exit