2. (a) Place the equation 4x2 +9y2 + 4z2 - 24x + 8z +4 = 0 in standard form and identify and describe the quadric surface. (b) Describe the trace of the surface in the xy-plane. (c) Determine whether or not the surface has a trace curve parallel to a coordinate plane that is a circle of radius 2. If such a trace exists, state the equation of a plance that gives such a trace curve, Otherwise explain why such a trace is impossible.
2. (a) Place the equation 4x2 +9y2 + 4z2 - 24x + 8z +4 = 0 in standard form and identify and describe the quadric surface. (b) Describe the trace of the surface in the xy-plane. (c) Determine whether or not the surface has a trace curve parallel to a coordinate plane that is a circle of radius 2. If such a trace exists, state the equation of a plance that gives such a trace curve, Otherwise explain why such a trace is impossible.
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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