Use the Shell Method to Find the Volume of the Solid

question 192

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
- $$x = 6 e ^ { - } y ^ { 2 } , y = 0 , x = 0 , y = 1$$

• A) \(12 \left( 1 + \frac { 1 } { \mathrm { e } } \right) \pi\)
• B) \(6 ( \mathrm { e } - 1 ) \pi\)
• C) \(12 \left( 1 - \frac { 1 } { \mathrm { e } } \right) \pi\)
• D) \(6 \left( 1 - \frac { 1 } { \mathrm { e } } \right) \pi\)

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Non-Rapid Eye Movement sleep stage, which consists of three stages of sleep that precede REM sleep, characterized by slower brainwaves and physical relaxation.