Let $P ( t )$ Be the Performance Level of Someone Learning a Skill as Someone

question 24

Multiple Choice

Let $P ( t )$ be the performance level of someone learning a skill as a function of the training time t. The graph of P is called a learning curve. We propose the differential equation $\frac { d P } { d t } = r ( G - P ( t ) )$ as a reasonable model for learning, where r is a positive constant. Solve it as a linear differential equation.

• A) \(P ( t ) = G - C e ^ { - r t }\)
• B) \(P ( t ) = G + C e ^ { - r t }\)
• C) \(P ( t ) = G + C e ^ { rt }\)
• D) \(P ( t ) = G C e ^ { n t }\)
• E) \(P ( t ) = G - C e ^ { rt }\)

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Definitions:

Monocot

A group of flowering plants whose seeds typically contain one embryonic leaf, known for having parallel leaf veins and various other structural differences from dicots.

Predominant

Being the most common or frequent; having superiority or ascendancy over others in strength, influence, or importance.

Photosynthetic Product

The output of photosynthesis, primarily glucose (a sugar), which serves as a primary energy source for plants and other photosynthetic organisms.

Phloem

The vascular tissue in plants responsible for the transport of sugars and other metabolic products downwards from the leaves.