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.)

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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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 8 —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 8 —t. 2 S8(x,y,z)ds= C (Type an exact answer, using radicals as needed.)
Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to
(-1,1).
The amount of work done is
(Type an integer or a simplified fraction.)
Transcribed Image Text:Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to (-1,1). The amount of work done is (Type an integer or a simplified fraction.)
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