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An Object Weighing W Pounds Is Suspended from the Ceiling y=12et4cos2t,t>0y = \frac { 1 } { 2 } e ^ { - \frac { t } { 4 } } \cos 2 t , t > 0

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An object weighing W pounds is suspended from the ceiling by a steel spring (see figure) .The weight is pulled downward (positive direction) from its equilibrium position and released.The resulting motion of the weight is described by the function
y=12et4cos2t,t>0y = \frac { 1 } { 2 } e ^ { - \frac { t } { 4 } } \cos 2 t , t > 0
Where y is the distance (in feet) and t is the time (in seconds) .
Use a graphing utility to select the graph of the function.

 An object weighing W pounds is suspended from the ceiling by a steel spring (see figure) .The weight is pulled downward (positive direction)  from its equilibrium position and released.The resulting motion of the weight is described by the function    y = \frac { 1 } { 2 } e ^ { - \frac { t } { 4 } } \cos 2 t , t > 0    Where y is the distance (in feet)  and t is the time (in seconds) . Use a graphing utility to select the graph of the function.         A)     B)    C)    D)    E)


Definitions:

Mechanism

The sequential order of basic reactions that facilitate the overall process of chemical transformation.

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A type of haloalkane where a chlorine atom is bonded to a carbon in a 2-methylpentane structure, often used in organic chemistry studies.

Sodium Ethoxide

A sodium salt of ethanol, used primarily as a strong base in organic synthesis, formed by the reaction between ethanol and sodium metal.

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A volatile, flammable, colorless liquid alcohol, widely used as a solvent, in medicine, and as the intoxicating ingredient in alcoholic beverages.

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