The population of a city grows from an initial size of 100,000 to a size P given

Question

The population of a city grows from an initial size of 100,000 to a size P given by P(t)=100,000+1000t^2 where t is in year 1 Find the growth rate dP/dr 2 Find the population after 15 year 3 Find the growth rate at t=15 The population of a city grows from an initial size of 100,000 to a size P given by P(t)=100,000+1000t^2 where t is in year 1 Find the growth rate dP/dr 2 Find the population after 15 year 3 Find the growth rate at t=15 1 Find the growth rate dP/dr 2 Find the population after 15 year 3 Find the growth rate at t=15

Explanation / Answer

a. the Growth rate P'(t) = 2,000t

b. Population after 15 year : P(15) = 100,000+1000*15^2 = 100,000+ 225,000 = 325,000

c. The Growth rate at t=15 : P'(15) = 2,000*15 = 30,000

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