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The curve equation is and interval of the graph is .
The damped vibration curve is in the form of ,where .
Here determines the path of the motion of particle.
Compare the above equation with general form of damped curve equation.
determines the path of the motion of the curve.
Construct a table for different values of .
Graph:
(1) Draw the coordinate plane.
(2) Plot all the points obtained in the table.
(3) Plot the path of curve.
(4) Connect all the points to a smooth curve.
The graph of the damped vibration curve is
.
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