S (x + y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from с (0,3,0) to (3,0,0). Evaluate √(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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Sex.
(x + y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from
C
(0,3,0) to (3,0,0).
Evaluate
[(x + y)ds =
C
(Type an exact answer.)
Transcribed Image Text:Sex. (x + y)ds where C is the straight-line segment x = 3t, y = (3-3t), z = 0 from C (0,3,0) to (3,0,0). Evaluate [(x + y)ds = C (Type an exact answer.)
Find the mass of a wire that lies along the curve r(t) = (t² – 8) j + 2tk, 0≤t≤2, if the
3
density is 6= —t.
2
S8(x,y,z)ds=
C
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Find the mass of a wire that lies along the curve r(t) = (t² – 8) j + 2tk, 0≤t≤2, if the 3 density is 6= —t. 2 S8(x,y,z)ds= C (Type an exact answer, using radicals as needed.)
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