Let $p ( t ) = \frac { 1,000 \left( e ^ { 0.1 t } + 3 \right) } { e ^ { 0.1 t } + 9 }$

question 115

Essay

Let $p ( t ) = \frac { 1,000 \left( e ^ { 0.1 t } + 3 \right) } { e ^ { 0.1 t } + 9 }$ be the population of a bacteria colony at time t hours. Find the growth rate of the bacteria after 10 hours.

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Definitions:

Life Expectancy

The expected number of years of life that remain for a person of a given age.

Economic Factors

Aspects related to the economy that can influence health outcomes, such as income level, employment status, and access to healthcare services.

Disease Nature

The intrinsic characteristics and behavior of a disease, including its causes, development, and effects on the human body.

Healthy Life

Living in a way that promotes physical, mental, and emotional well-being, often through balanced diet, exercise, and stress management.