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For the following equations: x = 21², y = 31², z = 41²; 1 ≤1≤3 a) Write the position vector and tangent vector for the curve with the parametric equations above. b) Find the length function () for the curve. c) Write the position vector as a function of s. Determine if this position vector in terms of s is a unit tangent to the curve.

For the following equations: x = 21², y = 31², z = 41²; 1 ≤1≤3 a) Write the position vector and tangent vector for the curve with the parametric equations above. b) Find the length function () for the curve. c) Write the position vector as a function of s. Determine if this position vector in terms of s is a unit tangent to the curve.

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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Question 17 For the following equations: x = 21², y = 31², z = 41²; 1 ≤ t ≤ 3 a) Write the position vector and tangent vector for the curve with the parametric equations above. b) Find the length function () for the curve. c) Write the position vector as a function of s. Determine if this position vector in terms of s is a unit tangent to the curve.
Transcribed Image Text:Question 17 For the following equations: x = 21², y = 31², z = 41²; 1 ≤ t ≤ 3 a) Write the position vector and tangent vector for the curve with the parametric equations above. b) Find the length function () for the curve. c) Write the position vector as a function of s. Determine if this position vector in terms of s is a unit tangent to the curve.
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