(5) Let p(t) denote the population of the Earth in the year t. According tothe internet, p(2017) = 7.55 billion. According to the lecture on populationgrowth, it is reasonable to assume thatdp/dt = kp − λp2with k = 0.029, λ = 2.695 × 10−12. Assuming all of this is true, answer thefollowing questions:(a) What will be the Earth’s population in 2030?(b) When “will” (or has it happened already?) the growth rate of theEarth’s population begin to decrease?(c) When did God create man? (That is: When were Adam and Evethe only two people on Earth? You will note that no major “religiousmythology” offers a figure as implausible as the one you will computefrom this model...)

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Asked Feb 10, 2019
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(5) Let p(t) denote the population of the Earth in the year t. According to
the internet, p(2017) = 7.55 billion. According to the lecture on population
growth, it is reasonable to assume that
dp/dt = kp − λp2
with k = 0.029, λ = 2.695 × 10−12. Assuming all of this is true, answer the
following questions:
(a) What will be the Earth’s population in 2030?
(b) When “will” (or has it happened already?) the growth rate of the
Earth’s population begin to decrease?
(c) When did God create man? (That is: When were Adam and Eve
the only two people on Earth? You will note that no major “religious
mythology” offers a figure as implausible as the one you will compute
from this model...)

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Expert Answer

Step 1

The differential equation for population growth is given.

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Step 2

By solving this differential equation, we will get the expression for population in year t.

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Step 3

Population in 2017 is...

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