Integrate f over the given curve. *xy)-y-₁0x52 C:y= X f(x,y) ff(x,y)ds:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Integrate f over the given curve.
X
y) = ₁³₁ C: y = 12/₁0
f(x,y)
0≤x≤2
...
[f(x,y)ds=
C
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Integrate f over the given curve. X y) = ₁³₁ C: y = 12/₁0 f(x,y) 0≤x≤2 ... [f(x,y)ds= C (Type an exact answer, using radicals as needed.)
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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