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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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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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