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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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 21E
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#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
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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