Find the Volume of the Solid Obtained by Rotating About $y$

question 62

Short Answer

Find the volume of the solid obtained by rotating about the $y$ axis the region bounded by the curves.
$$y = e ^ { - x ^ { 2 } } , y = 0 , x = 0 \text { and } x = 9$$

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Definitions:

Sleep Spindles

Bursts of oscillatory brain activity visible on an EEG that occur during stage 2 of sleep, thought to play a role in learning and memory.

Alpha Waves

Brain waves that indicate a state of relaxation or light meditation, typically with a frequency of 8 to 12 hertz.

REMs

Rapid Eye Movements, a phase of sleep characterized by quick movements of the eyes, associated with dreaming and increased brain activity.

Activation-Synthesis Theory

A hypothesis that dreams are created by the cerebral cortex interpreting random signals from the brainstem during REM sleep.