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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

Question 47

Multiple Choice

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) ​


A) ​  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) ​
B) ​  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) ​
C) ​  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) ​
D) ​  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) ​
E) ​  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) ​

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