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1) Write a polar equation of a conic with the focus at the origin and the...

1) Write a polar equation of a conic with the focus at the origin and the given data: The curve is a hyperbola with eccentricity 7/4 and directrix y=6.

2a) Determine the equation of a conic that satisfies the given conditions:
vertices: (-1,2), (7,2)
foci: (-2,2), (8,2)

b) Identify the conic: circle parabola, ellipse, hyperbola.

c) Sketch the conic.

d) If the conic is a hyperbola, determine the equations of the asymptotes.

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