Solve and interpret continuous logistic models
This is a continuous idealised population model. Population is measured in thousands of cells and time in days. Give exact values; logarithms are natural
\[P'=\frac{3}{2}P\left(1-\frac{P}{40}\right)\]
\[P=50\]
Find the instantaneous population change rate and the per-capita rate P′/P at this positive population. A negative value means a decrease