15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 6. i) Identify the type of surface. i) Find the intercepts with the three coordinate axes, when they exist. i) Find the equations of the xy, xz, and yz-traces, and describe the trace when they exist. iv) Sketch a graph of the surface. 4+ 3+ 34 24
15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 6. i) Identify the type of surface. i) Find the intercepts with the three coordinate axes, when they exist. i) Find the equations of the xy, xz, and yz-traces, and describe the trace when they exist. iv) Sketch a graph of the surface. 4+ 3+ 34 24
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 21E
Related questions
Question
#15 (Please answer iii & iv)
![15) Consider the following equations of quadric surfaces:
a) x =
+
- 4
b) x? - y? + z? = 4
i) Identify the type of surface.
i) Find the intercepts with the three coordinate axes, when they exist.
i) Find the equations of the xy, xz, and yz-traces, and describe the trace when they exist.
iv) Sketch a graph of the surface.
4+
3+
34
24](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87674653-b927-4c89-8184-9d8bbfaac105%2Fce43e598-dc03-4ead-9fab-85f560edead0%2F75qjte_processed.jpeg&w=3840&q=75)
Transcribed Image Text:15) Consider the following equations of quadric surfaces:
a) x =
+
- 4
b) x? - y? + z? = 4
i) Identify the type of surface.
i) Find the intercepts with the three coordinate axes, when they exist.
i) Find the equations of the xy, xz, and yz-traces, and describe the trace when they exist.
iv) Sketch a graph of the surface.
4+
3+
34
24
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