1 3. Find parameterizations of the following surfaces: (a) The rectangle with corners (1, 0, 0), (1, 0, 1), (0, 1, 0), and (0, 1, 1). (b) The portion of the sphere x² + y² + z² = 1 with x ≥ 0. (c) The portion of the cone with equation x² + y² = 22 bounded by 1 ≤ z ≤ 3.
1 3. Find parameterizations of the following surfaces: (a) The rectangle with corners (1, 0, 0), (1, 0, 1), (0, 1, 0), and (0, 1, 1). (b) The portion of the sphere x² + y² + z² = 1 with x ≥ 0. (c) The portion of the cone with equation x² + y² = 22 bounded by 1 ≤ z ≤ 3.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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3. Find parameterizations of the following surfaces:
(a) The rectangle with corners (1, 0, 0), (1, 0, 1), (0, 1,0), and (0, 1, 1).
(b) The portion of the sphere x² + y² + z² = 1 with x ≥ 0.
(c) The portion of the cone with equation x² + y² = 22 bounded by 1 ≤ z ≤ 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa68164dd-6bba-4aa5-92bc-4824a71db092%2Fd994e213-4f2f-477f-bddf-a356fe1157e1%2Fqpq98x9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1
3. Find parameterizations of the following surfaces:
(a) The rectangle with corners (1, 0, 0), (1, 0, 1), (0, 1,0), and (0, 1, 1).
(b) The portion of the sphere x² + y² + z² = 1 with x ≥ 0.
(c) The portion of the cone with equation x² + y² = 22 bounded by 1 ≤ z ≤ 3.
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