+0.55/1 points | Previous Answers SCalcET6 10.6.AE.02 EXAMPLE 2 A conic is given

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+0.55/1 points | Previous Answers SCalcET6 10.6.AE.02 EXAMPLE 2 A conic is given by the polar equation below. Find the eccentricity, Identify the conic, locate the directrix, and sketch the conic. 21 cos ( SOLUTION Dividing numerator and denominator by 4, we write the equation as 21 1- cos ( From Theorem 6 we see that this represents an ellipse with e-34 . Since ed-21/4 , we have Video Example 21/4 21/4 Tutorial Online Textbook e 34 , when = 0, r = the vertices have polar coordinates (7 e figure.

Explanation / Answer

When theta=0, r=21/(4-3) =21, when theta=pi, r=21/(4+3)= 3. So the vertices of polar coordinates are (21,0),(3,pi) .

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