The Growth of a Population Is Modeled by the Differential $\frac { d P } { d t } = 0.2 P ^ { 101 }$

question 18

Multiple Choice

The growth of a population is modeled by the differential equation $\frac { d P } { d t } = 0.2 P ^ { 101 }$ , and the initial population is $P ( 0 ) = 2$ Find $P ( 50 )$

• A)37
• B)90
• C)44,053
• D)81,350
• E)30
• F)80
• G)90,000
• H)37,648

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Definitions:

Construct System

A framework in psychology that refers to the collection of concepts and beliefs through which an individual perceives, interprets, and judges the world.

Choice Corollary

A concept in Kelly's personal construct theory which suggests that individuals anticipate future events and make choices based on how these events align with their personal constructs.

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The quality of being impervious or resistant to external influences or substances.