A City's Population (In Thousands) T Years from Now Is $P(t)=\frac{26 t^{2}+120 t+225}{t^{2}+5 t+41}$

question 154

Short Answer

A city's population (in thousands) t years from now is estimated by $P(t)=\frac{26 t^{2}+120 t+225}{t^{2}+5 t+41}$ What will the population of the city be in the long run? Hint: Find $\lim _{t \rightarrow \infty} P(t)$

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Definitions:

Amnion

A thin, protective membrane that forms a sac around the embryo or fetus during pregnancy, containing the amniotic fluid.

Placenta

An organ that develops in the uterus during pregnancy, providing oxygen and nutrients to the growing baby while removing waste products from the baby's blood.

Amniotic Fluid

The protective liquid contained within the amniotic sac of a pregnant female, surrounding and cushioning the fetus during development.

Maternal Wastes

Biological and chemical substances eliminated by the mother's body, often referred to in the context of pregnancy and its impact on fetal development.