For Exercises 5-8, the given equation represents a conic section (nondegenerative case). Identify the type of conic section. (See Example 1) a. − 5 x 2 + 8 y + 4 = 0 b. 3 x 2 + 3 y 2 − 4 x + 2 y − 8 = 0 c. − 2 x 2 + y 2 − 4 y + 1 = 0
For Exercises 5-8, the given equation represents a conic section (nondegenerative case). Identify the type of conic section. (See Example 1) a. − 5 x 2 + 8 y + 4 = 0 b. 3 x 2 + 3 y 2 − 4 x + 2 y − 8 = 0 c. − 2 x 2 + y 2 − 4 y + 1 = 0
Solution Summary: The author explains the type of conic sections for the nondegenerate equations.
For Exercises 5-8, the given equation represents a conic section (nondegenerative case). Identify the type of conic section. (See Example 1)
a.
−
5
x
2
+
8
y
+
4
=
0
b.
3
x
2
+
3
y
2
−
4
x
+
2
y
−
8
=
0
c.
−
2
x
2
+
y
2
−
4
y
+
1
=
0
Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.
University Calculus: Early Transcendentals (3rd Edition)
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