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

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.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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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 =
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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