Question: Consider the equation r 2 = sec 2u. a. Convert the equation to Cartesian coordinates and identify the curve. b. Find the vertices, foci, directrices,

Consider the equation r2 = sec 2u.

a. Convert the equation to Cartesian coordinates and identify the curve.

b. Find the vertices, foci, directrices, and eccentricity of the curve.

c. Graph the curve. Explain why the polar equation does not have the form given in the text for conic sections in polar coordinates.

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