= = A population of size P(t) (where t is the time in seconds) grows at a rate proportional to the square of the population size (i.e. P(t)²) with proportionality constant k = 1/30000. Initially, the population size is Po 1000. After 1 second, the population size doubles. Determine the doomsday (actually the doomssecond), i.e. find T such that P(t) → ∞ as t→T¯.

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