Evaluate (262 + y²) ds, C is the left half of the circle with radius 6 centered at (0,0) and is traversed i the clockwise direction. Find the value of integral (x² + y² + 2)ds, where C' is parmeterized by r(t) = (2 cos(3t), 2 sin(3t), 2t) for 0 ≤ t ≤ 2.
Evaluate (262 + y²) ds, C is the left half of the circle with radius 6 centered at (0,0) and is traversed i the clockwise direction. Find the value of integral (x² + y² + 2)ds, where C' is parmeterized by r(t) = (2 cos(3t), 2 sin(3t), 2t) for 0 ≤ t ≤ 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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Transcribed Image Text:Solizz
+ y²)ds, C is the left half of the circle with radius 6 centered at (0,0) and is traversed in
the clockwise direction.
Evaluate
2
√ (x² + y² + z)ds, where C' is parmeterized by
Find the value of integral
r(t) = (2 cos(3t), 2 sin(3t), 2t) for 0 ≤ t ≤ 2.
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