y x² + y² + z²' r(t) = (1 + cost) i + sint j+2sink, f(x, y, z)= and C is parameterized by 0≤t≤π

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Evaluate
Jo
f ds if
✪ f(x, y, z) = x + y, and C is the combinations of lines connecting
adjacently the points (0, 0, 0), (1, 1, 1), (2, 1, 3), and (2, 1,4).
✪ f(x, y, z):
=
y
x² + y² + z²¹
and C is parameterized by
r(t) = (1 + cos t) i + sint j +2sink,
2sink,
0 ≤t≤ π
Transcribed Image Text:Evaluate Jo f ds if ✪ f(x, y, z) = x + y, and C is the combinations of lines connecting adjacently the points (0, 0, 0), (1, 1, 1), (2, 1, 3), and (2, 1,4). ✪ f(x, y, z): = y x² + y² + z²¹ and C is parameterized by r(t) = (1 + cos t) i + sint j +2sink, 2sink, 0 ≤t≤ π
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