(z-3√2)² Allow T to be the surface with equation 1 42 3² 1. Provide the equations of the traces of T in the coordinate planes and in the plane z=6 √2; and identify what type of curves they are. 2. Identify the type of quadric of T. 3. Give a drawn sketch of T. Emphasize the traces obtained in item 1. and label important points with their coordinates.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Allow T to be the surface with equation
x²
y²
+
(z-3√2)²
--1
3²
1. Provide the equations of the traces of T in the coordinate planes and in the plane z=6 √2; and identify
what type of curves they are.
2. Identify the type of quadric of T.
3. Give a drawn sketch of T. Emphasize the traces obtained in item 1. and label important points with
their coordinates.
Nota: 3√2 =4.24
Transcribed Image Text:Allow T to be the surface with equation x² y² + (z-3√2)² --1 3² 1. Provide the equations of the traces of T in the coordinate planes and in the plane z=6 √2; and identify what type of curves they are. 2. Identify the type of quadric of T. 3. Give a drawn sketch of T. Emphasize the traces obtained in item 1. and label important points with their coordinates. Nota: 3√2 =4.24
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