Question

Find parametric equations and a parameter interval for the motion of a particle starting at the point (3,0) and tracing the top half of the circle x^2 y^2

Answer 1

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  $x^{2} +y^{2} =3^{2}$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 $x^{2} +y^{2} =3^{2}$ once counterclockwise.

The parametric equations for a circle $x^{2} +y^{2} =3^{2}$ 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 $0\leq t\leq 2\pi$.

So, The parametric equation are x = 3 cost and y = 3 sint and moves in counterclockwise direction.

Learn more about parametric equation here

brainly.com/question/8674159

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Find parametric equations and a parameter interval for the motion of a particle that starts at (a,0) and traces the circle $x^{2} +y^{2} =3^{2}$ once counterclockwise.

#SPJ4