Let C be the curve y = 2 ln(4 – x²), for – 0.3 < x < 0.8. A graph of y follows. - 2.79 2.76- 2.73 2.7 2.67 2.64- 2.61 2.58 2.55 2.52 2.49- 2.46

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let C be the curve y = 2 ln (4 – x"), for – 0.3 < x < 0.8. A graph of y follows.
2.79
2.76
2.73
2.7
2.67
2.64
2.61
2.58
2.55
2.52
2.49
2.46
2.43
247
0,5
0.8
2
Find the arc length of C =
1+ y" dx.
0.3
First find and simplify
V
1 + y2
0.8
Now integrate to find arc length = |
V1+ y² dx =
+ y" dx
%3D
- 0.3
Transcribed Image Text:Let C be the curve y = 2 ln (4 – x"), for – 0.3 < x < 0.8. A graph of y follows. 2.79 2.76 2.73 2.7 2.67 2.64 2.61 2.58 2.55 2.52 2.49 2.46 2.43 247 0,5 0.8 2 Find the arc length of C = 1+ y" dx. 0.3 First find and simplify V 1 + y2 0.8 Now integrate to find arc length = | V1+ y² dx = + y" dx %3D - 0.3
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