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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