A) \[0<x<k\]
B) \[x(0)>k\]
C) \[\frac{k}{2}<x(0)<2k\]
D) None of these
Correct Answer: A
Solution :
\[\therefore \] Curve trajectory \[=\frac{dx}{dt}\] \[=-rx\left( \frac{x}{k}-1 \right)\] For monotonically increasing, \[\frac{dx}{dt}>0\] \[\Rightarrow \] \[-rx\left( \frac{x}{k}-1 \right)>0\] \[\Rightarrow \] \[x(x-k)<0\] \[\Rightarrow \] \[0<x<k\]You need to login to perform this action.
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