3. Consider the surface S₂ with equation (x-1)² y² + 4 9 3 1. a) Find an equation of the trace of S₂ on the ry-plane, the rz-plane, the plane x = 1, and the planes 2 = ±3. Identify the type of conic each trace represents. b) What type of quadric surface is S₂? c) Sketch the graph of S₂ using the traces obtained in 3.a). Label all important points found on each trace.
3. Consider the surface S₂ with equation (x-1)² y² + 4 9 3 1. a) Find an equation of the trace of S₂ on the ry-plane, the rz-plane, the plane x = 1, and the planes 2 = ±3. Identify the type of conic each trace represents. b) What type of quadric surface is S₂? c) Sketch the graph of S₂ using the traces obtained in 3.a). Label all important points found on each trace.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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![3. Consider the surface S₂ with equation
(x-1)² y²
+
4
9 3
1.
a) Find an equation of the trace of S₂ on the ry-plane, the rz-plane, the plane x = 1, and the
planes z = ±3. Identify the type of conic each trace represents.
b) What type of quadric surface is S₂?
c) Sketch the graph of S₂ using the traces obtained in 3.a). Label all important points found on
each trace.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05c8d576-cf70-4e5a-90f6-000aaaacf391%2F463020fb-8182-4896-af92-2b20d7d4ffdc%2Fld0v95j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the surface S₂ with equation
(x-1)² y²
+
4
9 3
1.
a) Find an equation of the trace of S₂ on the ry-plane, the rz-plane, the plane x = 1, and the
planes z = ±3. Identify the type of conic each trace represents.
b) What type of quadric surface is S₂?
c) Sketch the graph of S₂ using the traces obtained in 3.a). Label all important points found on
each trace.
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