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A Balloon Is Initially Full of Air, but Then It

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A balloon is initially full of air, but then it springs a leak.Air leaks at a constant rate from the balloon.After a while the leak is patched and a pump is attached to the balloon.It is re-inflated to its original volume: Air is pumped at a constant rate that is larger than the rate of the leak.Let B denote the volume, in cubic inches, of air in the balloon after t minutes.Make a graph of B versus t from the time the balloon springs a leak until it is fully re-inflated.


Definitions:

Parietal Lobes

Regions of the brain located behind the frontal lobes that are involved in processing sensory information from the body and in spatial navigation.

Cortex

The outermost layer of the brain, associated with high-level processes such as consciousness, thought, emotion, reasoning, language, and memory.

Electrical Stimulation

The use of electrical impulses to induce muscle contraction, stimulate nerves, or influence brain activity, often used in medical treatment and physical therapy.

Gustav Fritsch

A 19th-century German neuroanatomist and physiologist known for his pioneering research in the field of neurology and the physiology of the brain.

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