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4. Evaluate the given line integrals where C is the given curve O xyz² ds C is the segment from (-1,5,0) to (1,6,4) a) b) xe² ds C is the line segment from (0,0,0) to (1,2,3) f c) √(x² + y² + z²) ds C: x = t, y = cos2t, z = sin2t, 0 ≤ t ≤ 2π C

4. Evaluate the given line integrals where C is the given curve O xyz² ds C is the segment from (-1,5,0) to (1,6,4) a) b) xe² ds C is the line segment from (0,0,0) to (1,2,3) f c) √(x² + y² + z²) ds C: x = t, y = cos2t, z = sin2t, 0 ≤ t ≤ 2π C

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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show full and complete procedure HANDWRITTEN ONLY please answer parts a), b) & c) as they are subparts of the same question 

4. Evaluate the given line integrals where C is the given curve a) xyz² ds C is the segment from (-1,5,0) to (1,6,4) D b) xey² ds C is the line segment from (0,0,0) to (1,2,3) S c) √(x² + y² + z²) ds C: x = t, y = cos2t, z = sin2t, 0 ≤ t ≤ 2 2
Transcribed Image Text:4. Evaluate the given line integrals where C is the given curve a) xyz² ds C is the segment from (-1,5,0) to (1,6,4) D b) xey² ds C is the line segment from (0,0,0) to (1,2,3) S c) √(x² + y² + z²) ds C: x = t, y = cos2t, z = sin2t, 0 ≤ t ≤ 2 2
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