Given the space curve r(t) = (2t, t², 2t) Plot this curve on Geogebra 3D • Label the point on the curve for t = 1: (2, 1, 2) Find the curvature (as an exact value) of (t) when t = 1

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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Given the space curveř(t) = (2t, t², 2t)
Plot this curve on Geogebra 3D
• Label the point on the curve for t = 1: (2, 1, 2)
• Find the curvature (as an exact value) of (t) when t = 1
• At the point (2, 1, 2) Draw the Vectors 7(1), Ñ(1), B(1),
Color the T, N, and B vectors, Blue, Red, and Green, respectively
• Draw the osculating plane at (2, 1, 2)
• Draw the osculating circle at (2, 1, 2)
Transcribed Image Text:Given the space curveř(t) = (2t, t², 2t) Plot this curve on Geogebra 3D • Label the point on the curve for t = 1: (2, 1, 2) • Find the curvature (as an exact value) of (t) when t = 1 • At the point (2, 1, 2) Draw the Vectors 7(1), Ñ(1), B(1), Color the T, N, and B vectors, Blue, Red, and Green, respectively • Draw the osculating plane at (2, 1, 2) • Draw the osculating circle at (2, 1, 2)
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