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JEE Math Practice Question

The population P = P(t) at time 't' of a certain species follows the differential equation $${{dP} \over {dt}}$$ = 0.5P – 450. If P(0) = 850, then the time at which population becomes zero is :

  1. A.$${\log _e}18$$
  2. B.$${1 \over 2}{\log _e}18$$
  3. C.2$${\log _e}18$$
  4. D.$${\log _e}9$$

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