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-A Local Pond Can Only Hold Up to 39 dPdt=(0.0013)(39P)P\frac { \mathrm { dP } } { \mathrm { dt } } = ( 0.0013 ) ( 39 - \mathrm { P } ) \mathrm { P }

question 36

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-A local pond can only hold up to 39 geese. Six geese are introduced into the pond. Assume that the rate of grow of the population is dPdt=(0.0013) (39P) P\frac { \mathrm { dP } } { \mathrm { dt } } = ( 0.0013 ) ( 39 - \mathrm { P } ) \mathrm { P } where tt is time in weeks. Find a formula for the goose population in terms of t\mathrm { t } .

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