Consider the curve in the xy plane defined by the equation 4y? – 22 – 8y – 6x = 21 Show that this curve is a hyperbola and find its center, foci and the equation of its asymptotes. Find the equation of the tangent line to the curve at the point (0, -).

Consider the curve in the xy plane defined by the equation 4y? – 22 – 8y – 6x = 21 Show that this curve is a hyperbola and find its center, foci and the equation of its asymptotes. Find the equation of the tangent line to the curve at the point (0, -).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 25E

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Question

Consider the curve in the xy plane defined by the equation
4y? – a2 – 8y – 6x = 21
Show that this curve is a hyperbola and find its center, foci and the equation
of its asymptotes.
Find the equation of the tangent line to the curve at the point (0, -).

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