The population of a city grows from an initial size of 100,000 to a size P given by P(t) = 100,000 + 4000t$^2$, where t is in years. a) Find the growth rate, $frac{dP}{dt}$. b) Find the population after 15 yr. c) Find the growth rate at t = 15. $frac{dP}{dt}$ = a) Find the growth rate, $frac{dP}{dt}$
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Step 1: Analyze the given population function The population \( P(t) \) is given by the equation: \[ P(t) = 100,000 + 4000t^2 \] where \( t \) is the time in years. Show more…
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