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A Stone Is Dropped into a Lake, Creating a Circular ArA \circ r

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A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 45 cm/s. Express the radius r of this circle as a function of the time t (in seconds) and find ArA \circ r if A is the area of this circle as a function of the radius.

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Definitions:

Neural Plasticity

Refers to the brain's ability to change and adapt as a result of experience.

Synaptic Function

The process by which neurons communicate with each other across synapses, involving the release and detection of neurotransmitters.

Neuronal Sensitivity

The responsiveness of neurons to various stimuli, determining how strongly they react to signals.

Formation of Synapses

The process by which neurons connect with each other to form synapses, enabling communication within the brain.

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