Find the arc length of C = 1.5 - 2.1 First find and simplify√1 + y2² Now integrate to find arc length 1+ y² dx. 1.5 -2.1 1 + y² dx 11
Find the arc length of C = 1.5 - 2.1 First find and simplify√1 + y2² Now integrate to find arc length 1+ y² dx. 1.5 -2.1 1 + y² dx 11
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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Question
Transcribed Image Text:Let C be the curve y
=
3 ln (9 – x²), for — 2.1 ≤ x ≤ 1.5. A graph of y follows.
6.6
6.4
6.2
6
5.8
5.6
5.4
5.2
5
4.8
4.6
4.4
-1.5 -1 -0.5
1.5
Find the arc length of C =
First find and simplify
V
Now integrate to find arc length =
-2.1
0.5 1 1.3
$2
'1+y'
2
1+ y² dx.
1.5
2.1
/1 + y2 dx =
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