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  3. a given field mouse population satisfies the diffe

A given field mouse population satisfies the differential equation d⁢p/d⁢t=0.2p-390. where p is the number of mice and...

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Advance Math

A given field mouse population satisfies the differentialequation


d⁢p/d⁢t=0.2p-390.

where p is the number of mice and t is thetime in months.

(a) Find the time at which the population becomesextinct if

   p(0)=1940⁢   .


Round your answer to two decimal places.

tf=

(c) Find the initial population p0 if thepopulation is to become extinct in 1 year.

Round your answer to the nearest integer.

 p0⁢= 

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