Approximating the Length of a Curve Consider the length of the graph of f(x) from (1,5) to (5,1). (1,5) (1,5) 2.) 2,2,5) (3,1,66) 1.8 \(5,1) (5,1) 1.e (4,1.25) 1,0 1,0 F1 -1 -1 -). Approximate the length of the curve by finding the distance between the two endpoints, as shown in the first gra istance between the two endpoints = Enter answer with four decimal places. -). Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in the sec um of the lengths of the four line segments =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 64E
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Approximating the Length of a Curve
Consider the length of the graph of f(x)
from (1,5) to (5,1).
(1,5)
(1,5)
1.)
2.)
k2,2.5)
(3,1,66)
1.0-
\(5,1)
(5,1)
1.8
(4,1.25)
1,0
4,0
-1
-1
-1
-1
A). Approximate the length of the curve by finding the distance between
two endpoints, as shown in the first graph.
Distance between the two endpoints = Enter answer with four decimal places.
B). Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in the second figure.
Sum of the lengths of the four line segments =
How could you continue this process to obtain a more accurate approximation of the length of the curve?
OA. By decreasing the number of line segments.
OB. By not doing anything, the last process we used was accurate enough.
OC. By increasing the number of line segments.
OD. none of the above.
Transcribed Image Text:Approximating the Length of a Curve Consider the length of the graph of f(x) from (1,5) to (5,1). (1,5) (1,5) 1.) 2.) k2,2.5) (3,1,66) 1.0- \(5,1) (5,1) 1.8 (4,1.25) 1,0 4,0 -1 -1 -1 -1 A). Approximate the length of the curve by finding the distance between two endpoints, as shown in the first graph. Distance between the two endpoints = Enter answer with four decimal places. B). Approximate the length of the curve by finding the sum of the lengths of four line segments, as shown in the second figure. Sum of the lengths of the four line segments = How could you continue this process to obtain a more accurate approximation of the length of the curve? OA. By decreasing the number of line segments. OB. By not doing anything, the last process we used was accurate enough. OC. By increasing the number of line segments. OD. none of the above.
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