Mathematics · 2021
JEE Main · 24 February 2021, Shift 1 · Q72
The population P = P ( t ) at time ' t ' of a certain species follows the differential equation dP/dt=0.5 P -450. If P (0)=850, then the time at…
The population $\displaystyle \mathrm{P}=\mathrm{P}(\mathrm{t})$ at time ' t ' of a certain species follows the differential equation $\displaystyle \frac{\mathrm{dP}}{\mathrm{dt}}=0.5 \mathrm{P}-450$. If $\displaystyle \mathrm{P}(0)=850$, then the time at which population becomes zero is :
Official answer
(4)
$\displaystyle 2 \log _{\mathrm{e}} 18$
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