Which polar equation represents an ellipse? r= 1/3+2cos theta r= 3/2+3 sin theta r= 5/2+2 sin theta r= 2/2-3 sin theta

Step-by-step explanation:

Let us write the equations in standard form:

We have

and

Since the eccentricity  of this conic is less than 1, the conic represents an ellipse.

The second equation is .

This is a hyperbola, because eccentricity is more than 1.

The third equation is .

This is a parabola, because eccentricity is  1.

The fourth equation is .

This is also a hyperbola, because eccentricity is more than 1.

im not sure

step-by-step explanation: