Completed in 1863 , the dome is one of the most recent additions to the United States Capitol. It is supported by 36 iron ribs a
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Answer:
a)
b)
c)
Step-by-step explanation:
For this case we have the following differential equation:
And if we rewrite the expression we got:
If we integrate both sides we have:
Using exponential on both sides we got:
Part a
For this case we know that p(0) = 770 so we have this:
So then our model would be given by:
And if we want to find at which time the population would be extinct we have:
Using natural log on both sides we got:
And solving for t we got:
Part b
For this case we know that p(0) = p0 so we have this:
So then our model would be given by:
And if we want to find at which time the population would be extinct we have:
Using natural log on both sides we got:
And solving for t we got:
Part c
For this case we want to find the initial population if we know that the population become extinct in 1 year = 12 months. Using the equation founded on part b we got:
Using exponentials we got: