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19

Step-by-step Answer
PAGE: 666SET: ExercisesPROBLEM: 19
Please look in your text book for this problem Statement

The parametric equations are  and  and .

Rewrite the equation.

The sum of there squares are equal

Trigonometric identity : .

The above equation is in form of general form of circle.

So the particle moves in circle path.

Draw a table for different values of  ranging from .

Determine the direction of the curve.

Graph:

The parametric equations are  and 

Observe the graph:

From  to , thecircle completes it first revolution in clockwise.

Similarly the ellipse completes it second and third revolution at  and .

The particle moves counter clockwise around the circle path.

The particle moves counter clockwise around the circle path.

The equation is .



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