The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.
According to the statement
we have given that the Find parametric equations and a parameter interval for the motion of a particle that starts at (3,0) and traces the circle once counterclockwise.
And we have to find the parametric equation for this given statement.
So,
A parametric equation defines a group of quantities as functions of one or more independent variables called parameters.
Then
A particle that starts at (3,0) and traces the circle once counterclockwise.
The parametric equations for a circle and stats at (3,0) are
x = 3 cost
y = 3 sint
It requires going around a circle once.
Therefore required parametric equations are x = 3 cost and y = 3 sint and .
So, The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.
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Question:
Find parametric equations and a parameter interval for the motion of a particle that starts at (a,0) and traces the circle once counterclockwise.
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