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1 answer:
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Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:
In which k is the growth rate.
By separation of variables, the solution is given by:
In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is
Answer:
B
Step-by-step explanation:
Given
f(x) =
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 2 = 0 ⇒ x = - 2
The equation of the vertical asymptote is x = - 2