Math  /  Calculus

QuestionQuestion 4 of 8 Barring disasters (human-made or natural), the population PP of humans grows at a rate proportional to its current size.
According to the U.N. World Population studies, from 2006 to 2008 the population of the more developed regions of the world (Europe, North America, Australia, New Zealand, and Japan) grew at an annual rate of 1.33%1.33 \% per year. (Use symbolic notation and fractions where needed.) (a) Write a differential equation that models the growth rate of population. dPdt=\frac{d P}{d t}= \square (b) Find the general solution to the differential equation. Use P0P_{0} as P(0)P(0) if needed. P=P= \square Search

Studdy Solution
(a) dPdt=0.0133P\frac{dP}{dt} = 0.0133 \cdot P (b) P=P0e0.0133tP = P_0 \cdot e^{0.0133 \cdot t}

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