The curve =ti+V3t² j + 2t% k defines a bug's trajectory in the space. (a) Find the vector equation for the tangent line to the bug's path when t = V3. (b) Find the length of the path between the points (2,4/3, 16) and (3, 9/3, 54). (c) Find the curvature k at the point when t = 1.
The curve =ti+V3t² j + 2t% k defines a bug's trajectory in the space. (a) Find the vector equation for the tangent line to the bug's path when t = V3. (b) Find the length of the path between the points (2,4/3, 16) and (3, 9/3, 54). (c) Find the curvature k at the point 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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Transcribed Image Text:The curve =ti+V3t² j + 2t% k defines a bug's trajectory in the space.
(a) Find the vector equation for the tangent line to the bug's path when t =
V3.
(b) Find the length of the path between the points (2,4/3, 16) and (3, 9/3, 54).
(c) Find the curvature k at the point when t = 1.
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