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15) Consider the following equations of quadric su a) x=+-4 i) Identify the type of surface. ii) Find the intercepts with the three coordin li) Find the equations of the xy, xz, and yz-t iv) Sketch a graph of the surface. 4+ 3+ 24

15) Consider the following equations of quadric su a) x=+-4 i) Identify the type of surface. ii) Find the intercepts with the three coordin li) Find the equations of the xy, xz, and yz-t iv) Sketch a graph of the surface. 4+ 3+ 24

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#15 (Please Solve iii & iv for a)

 
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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