In order to verify this information, let's rewrite our polar equation as a rectangular equation using our coversion identities.

Remember that and . Substituting this information into our equation, we get:

16+3x =5r.

Squaring both sides, we get:

Completing the square are simplyfing, we find that:

Recognizing this as the general form of an ellipse, we see that we indeed have an ellipse centered at (3,0) with major axis:5 and minor axis:4.

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