Syllabus for $2248-$D$...$

Homework $-$ Aktiv C$...$

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$188/089-$CALCULUS I

$1\mathrm{.}4$

ving

Question $27,2\mathrm{.}5\mathrm{.}65$

Part $1$ of $2$

HW Score: $89\mathrm{.}52\%,26\mathrm{.}86$ of $30$ points

$(8)$ Points: $0$ of

$1$

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If a function f represents a system that varies in time, the existence of $\underset{?}{lim}f(t)$ means that the system reaches a steady state $($or $t$

equilibrium$).$ For the system of the population of a culture of tumor cells given by $p(t)=\frac{3600t}{t+5},$ determine if a steady state exists and give the steady$-$state value.

For which of the following situations does there exist a steady state?

A$.\underset{t}{lim}f(t)=k,$ where $k$ is a finite number

B$.\underset{t}{lim}f(t)$ does not exist and is neither $$ nor $-$

C$.\underset{t}{lim}f(t)=+-$

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$29$