1. Sketch the following curves on separate number planes. (i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² + (y + 2)² = 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Subject:calculas

1. Sketch the following curves on separate number planes.
(i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² + (y+2)2 = 4
2.
3.
(iv) x² + 2y² = 4
The following surfaces are cylinders. Sketch on a 3-D number plane.
(i) y=x² (ii) x² + y² = 4 (iii) x² + 2y² = 4 (iv) x² + 4z² = 4
Sketch the following paraboloid:
z = 2x² + 2y².
Transcribed Image Text:1. Sketch the following curves on separate number planes. (i) y=2x² (ii) x² + y² = 4 (iii) (x-1)² + (y+2)2 = 4 2. 3. (iv) x² + 2y² = 4 The following surfaces are cylinders. Sketch on a 3-D number plane. (i) y=x² (ii) x² + y² = 4 (iii) x² + 2y² = 4 (iv) x² + 4z² = 4 Sketch the following paraboloid: z = 2x² + 2y².
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