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Suppose a Population Growth Is Modeled by the Logistic Equation dPdt=0.01P0.0001P2\frac { d P } { d t } = 0.01 P - 0.0001 P ^ { 2 }

question 61

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Suppose a population growth is modeled by the logistic equation dPdt=0.01P0.0001P2\frac { d P } { d t } = 0.01 P - 0.0001 P ^ { 2 } with P(0) = 10. Find the population after 500 years.


Definitions:

Osteoclasts

Cells that break down bone tissue, playing an essential role in bone remodeling and calcium homeostasis.

Calcium Salts

Inorganic compounds found in bones and teeth, critical for maintaining their hardness and strength.

Bone Tissue

A hard, dense connective tissue forming the structure of the skeleton and providing support and protection for the body.

F-distribution

A continuous probability distribution that arises frequently as the null distribution of a test statistic, especially in ANOVA and regression analysis.

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