Exponential Population Growth: 1970-1980

jackleyt
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Homework Statement


The population of a country is growing exponentially. The population in millions was 120 in 1970 and 150 in 1980.

(a) What is the population t years after 1970?

(b) How long does it take the population to double?

(c) When will the population be 400 million?



Homework Equations





The Attempt at a Solution


I don't know how to start the equation, so I listed out the years and the populations to no avail.
 
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I'll give you the equation you need to use.

P(t) = P0ekt

P(0) = P0

Use the information given in the problem to find your constant (k). Once you have that it is very easy.

Cool, first post!
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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