3 years ago

Is all of this correct and how do I color it?

1 answer:

5 0

What do you mean because the question is not here

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Inessa05 [86]

Answer:

$t \approx 49.860\,years$

Explanation:

The increase rate of population is described by the following ordinary differential equation is:

$\frac{dP}{dt} = \frac{P}{\tau}$

Where $\tau$ is the time constant. The solution of the differential equation is:

$P(t) = P_{o}\cdot e^{\frac{t}{\tau} }$

The time constant in years is found by substituting known variables:

$\ln 1.014 = \frac{1}{\tau}$

$\tau = \frac{1}{\ln 1.014}$

$\tau \approx 71.927\,years$

The doubling time is:

$\ln 2 = \frac{t}{71.927\,years}$

$t = (71.927\,years)\cdot \ln 2$

$t \approx 49.860\,years$

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3 years ago