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conic section

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Equation Point
4x^2-24x-25y^2+250y-489=0 (27⁄4,5⁄2)

( 1) identify the conic section represented by the equation.
( 2) write the equation of the conic section in standard form.
( 3) identify all relevant key elements of your conic section such as center,
focus/foci, directrix, radius, lengths of major and/or minor axes,
equations of asymptotes, and length of latus rectum.
( 4) sketch the graph of the conic section.
( 5) determine the equation of the line that is tangent to the conic section
at the provided point.
( 6) write a brief (two to three paragraph) essay describing the four nondegenerate
conic sections, how you knew to distinguish your conic section from the
other three, and a possible application that might involve your type of
conic section

Solution Summary

Identify the conic section represented by the equation.

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Equation Point
4x2-24x-25y2+250y-489=0 274,52

( 1) identify the conic section represented by the equation.
( 2) write the equation of the conic section in standard form.
( 3) identify all relevant key elements of your conic section such as center,
focus/foci, directrix, radius, lengths of major and/or minor axes,
equations of asymptotes, and length of latus rectum.
( 4) sketch the graph of the conic section.
( 5) determine the equation of the line that is tangent to the conic section
at the provided point.
( 6) write a brief (two to three paragraph) essay describing the four nondegenerate
conic sections, how you ...

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