81. A wire filament is shaped to match the graph of the func- tion of y = In(2 cos x) from x = - to x = 5, measured 3 in inches, as shown in the figure. Given that the length of a curve y = f(x) from x = a to x = b can be calculated with the formula /1+ (f'(x))² dx, find the length of the filament. Shape of wire filament 0.75 0.50 0.25 +x -프 3 프 프 3 6

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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81. A wire filament is shaped to match the graph of the func-
tion of y = In(2 cos x) from x = - to x =
5, measured
3
in inches, as shown in the figure. Given that the length
of a curve y = f(x) from x = a to x = b can be calculated
with the formula
/1+ (f'(x))² dx,
find the length of the filament.
Shape of wire filament
0.75
0.50
0.25
+x
-프
3
프
프
3
6
Transcribed Image Text:81. A wire filament is shaped to match the graph of the func- tion of y = In(2 cos x) from x = - to x = 5, measured 3 in inches, as shown in the figure. Given that the length of a curve y = f(x) from x = a to x = b can be calculated with the formula /1+ (f'(x))² dx, find the length of the filament. Shape of wire filament 0.75 0.50 0.25 +x -프 3 프 프 3 6
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