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Problem 1. Given the curve Find the following at point P(1, 0, 0). 1. the unit tangent. 2. the unit normal. 3. binormal vector. 4. the curvature for this curve. r(t) = (cost, sint, In (cost)) 5. equation of the normal plane. 6. equation of osculating plane. 7. find the length of the curve from P(1,0,0) to Q (22 (1/2 √2¹ (1/2)). In

Problem 1. Given the curve Find the following at point P(1, 0, 0). 1. the unit tangent. 2. the unit normal. 3. binormal vector. 4. the curvature for this curve. r(t) = (cost, sint, In (cost)) 5. equation of the normal plane. 6. equation of osculating plane. 7. find the length of the curve from P(1,0,0) to Q (22 (1/2 √2¹ (1/2)). In

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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Problem 1. Given the curve Find the following at point P(1, 0, 0). 1. the unit tangent. 2. the unit normal. 3. binormal vector. 4. the curvature for this curve. 5. equation of the normal plane. 6. equation of osculating plane. r(t) = (cost, sint, In (cost)) 1 1 7. find the length of the curve from P(1,0,0) to Q 2 (√2+√√/2¹ (√₂2)) In
Transcribed Image Text:Problem 1. Given the curve Find the following at point P(1, 0, 0). 1. the unit tangent. 2. the unit normal. 3. binormal vector. 4. the curvature for this curve. 5. equation of the normal plane. 6. equation of osculating plane. r(t) = (cost, sint, In (cost)) 1 1 7. find the length of the curve from P(1,0,0) to Q 2 (√2+√√/2¹ (√₂2)) In
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