11 Calculate the line integral f Gy)ds for the given junc rion and path xiyl=xy KHt)=<3+,2t=-37 for

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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11 Calculate the line integral f (x.y)ds for the given
juncrion and
path
xy1=xyg rt)=<3+,2t=3> for 0stf4
fc
Transcribed Image Text:11 Calculate the line integral f (x.y)ds for the given juncrion and path xy1=xyg rt)=<3+,2t=3> for 0stf4 fc
Expert Solution
Step 1

r(t)=<3t,2t-3>=<0,-3>+t<3,2>

x(t)=3t  and y(t)=2t-3

ds=32+22dt=13dt

0t1

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