x2 Consider the surface T with equation 4 (y – 3)² + z2 = 1. 3 Find an equation of the trace of T on each coordinate plane and on the planes y = 3 and y = 6. Identify each trace. Sketch the graph of T and label important points with their coordinates.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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Question
x2
Consider the surface T with equation
4
(y – 3)²
+ z2 = 1.
3
Find an equation of the trace of T on each coordinate plane and on the planes y
= 3
and y =
6. Identify each trace.
Sketch the graph of T and label important points with their coordinates.
Transcribed Image Text:x2 Consider the surface T with equation 4 (y – 3)² + z2 = 1. 3 Find an equation of the trace of T on each coordinate plane and on the planes y = 3 and y = 6. Identify each trace. Sketch the graph of T and label important points with their coordinates.
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