Pre-Calculus, 9th edition
21

 PAGE: 548 SET: Exercises PROBLEM: 21

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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