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Question to Sketch and state the name of the following space curves. 1. r(t) = (3+ 2t, 1- 3t, 2-t). 2. r(t) = (t2, -3t, 6), 3. r(t) = (t, 6 cos(t), 6 sin(t)). Prove that this curve lies on the surface of a cylinder.

Question to Sketch and state the name of the following space curves. 1. r(t) = (3+ 2t, 1- 3t, 2-t). 2. r(t) = (t2, -3t, 6), 3. r(t) = (t, 6 cos(t), 6 sin(t)). Prove that this curve lies on the surface of a cylinder.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2 Question Sketch and state the name of the following space curves. 1. r(t) = (3 + 2t, 1- 3t, 2- t), 2. r(t) = (t2, -3t, 6), 3. r(t) = (t, 6 cos(t), 6 sin(t)) . Prove that this curve lies on the surface of a cylinder. 4. r(t) = (t cos(t), -t, t sin(t)). Prove that this curve lies on the surface of a cone. %3D
Transcribed Image Text:2 Question Sketch and state the name of the following space curves. 1. r(t) = (3 + 2t, 1- 3t, 2- t), 2. r(t) = (t2, -3t, 6), 3. r(t) = (t, 6 cos(t), 6 sin(t)) . Prove that this curve lies on the surface of a cylinder. 4. r(t) = (t cos(t), -t, t sin(t)). Prove that this curve lies on the surface of a cone. %3D
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