Evaluate (x + y)ds where C is the straight-line segment x=t, y = (4 – t), z = 0 from (0,4,0) to (4,0,0). C √(x + y)ds = [ C (Type an exact answer.)
Evaluate (x + y)ds where C is the straight-line segment x=t, y = (4 – t), z = 0 from (0,4,0) to (4,0,0). C √(x + y)ds = [ C (Type an exact answer.)
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:Evaluate (x + y)ds where C is the straight-line segment x = t, y = (4-t), z = 0 from (0,4,0) to (4,0,0).
(x + y)ds =
C
(Type an exact answer.)
Transcribed Image Text:Integrate f(x,y,z) = (x+y+z)/(x² + y² + z²) over the path r(t) = ti + 3t j + 3t k, 0<astsb.
The integral of f is
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