Hey can you somebody help me with this problem

Step-by-step explanation:

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Step-by-step explanation:

Given

In 2012

--- Birth rate

-- Death rate from '12 to '40

Solving (a): Equation for population from 2012

In 2012, we have the addition in population to be:

million

From 2012 to 2040, we have the death rate per year to be:

million/year

So, the differential equation is:

where t represents time

Express in millions

Solving (b): The solution to the equation in (a)

Make dP the subject

Integrate both sides

This gives:

Solve for c.

When t = 0; P = 7.02

So, we have:

So:

Solving (c): The population in 2050

We have:

In 2050, the value of t is:

So, the expression becomes