Use Stokes' theorem to calculate the line integral f (e² − y³) dx + (e¹ + x³) dy + e* dz, e² when the curve C has the parameterization r(t) = (cost,sin t,sin 2t), 0 ≤ t ≤ 2¹. hint: The curve is formed by the intersection of the saddle surface z = 2xy and the cylinder x² + y² = 1. Another hint: Here again n dS = N dA. (Ans: 3 ¹/2)
Use Stokes' theorem to calculate the line integral f (e² − y³) dx + (e¹ + x³) dy + e* dz, e² when the curve C has the parameterization r(t) = (cost,sin t,sin 2t), 0 ≤ t ≤ 2¹. hint: The curve is formed by the intersection of the saddle surface z = 2xy and the cylinder x² + y² = 1. Another hint: Here again n dS = N dA. (Ans: 3 ¹/2)
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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