d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is 0.6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 33E
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2. Find the differential equation of the family of curves as
described below.
a. Family of circles whose center is on the line y = 3x
b. Family of parabolas whose vertex is along the line y = -2,
and whose distance from vertex to directrix being 3 units.
c. Family of logarithmic curves whose equation is Cy = 1n (Cx).
d. Family of ellipses with center at (1, -2), major axis is
horizontal, and whose eccentricity is 0.6.
e. Family of lines whose angle of inclination is 60 degrees.
Transcribed Image Text:2. Find the differential equation of the family of curves as described below. a. Family of circles whose center is on the line y = 3x b. Family of parabolas whose vertex is along the line y = -2, and whose distance from vertex to directrix being 3 units. c. Family of logarithmic curves whose equation is Cy = 1n (Cx). d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is 0.6. e. Family of lines whose angle of inclination is 60 degrees.
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