Finding the length of a curve. Arc length for y = f(x). Let f(z) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by L= [ V1+ [f(»)F°dz Part 1. Let f(z) = Setup the integral that will give the arc length of the graph of f(x) over the interval %3D [5, 7]. Part 2. Calculate the arc length of the graph of f(x) over the interval [5, 7]. L= units. Note: type an exact value for the length without using decimals.
Finding the length of a curve. Arc length for y = f(x). Let f(z) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by L= [ V1+ [f(»)F°dz Part 1. Let f(z) = Setup the integral that will give the arc length of the graph of f(x) over the interval %3D [5, 7]. Part 2. Calculate the arc length of the graph of f(x) over the interval [5, 7]. L= units. Note: type an exact value for the length without using decimals.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 80RE
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![Finding the length of a curve.
Arc length for y = f(x).
Let f(x) be a smooth function over the interval [a, b). The arc length of the portion of the graph of f(x)
from the point (a, f(a)) to the point (b, f(b)) is given by
/1+ [f'(x)}² dz
L =
Part 1.
Let f(x) =
72
Setup the integral that will give the arc length of the graph of f(x) over the interval
[5, 7).
Part 2.
Calculate the arc length of the graph of f(x) over the interval [5, 7].
units.
Note: type an exact value for the length without using decimals.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e521a1e-f4ee-4c02-af71-8dfc2cc184d3%2Ff799bc55-affc-44e2-92c4-3ae3fc59da98%2Fekhj6e79_processed.png&w=3840&q=75)
Transcribed Image Text:Finding the length of a curve.
Arc length for y = f(x).
Let f(x) be a smooth function over the interval [a, b). The arc length of the portion of the graph of f(x)
from the point (a, f(a)) to the point (b, f(b)) is given by
/1+ [f'(x)}² dz
L =
Part 1.
Let f(x) =
72
Setup the integral that will give the arc length of the graph of f(x) over the interval
[5, 7).
Part 2.
Calculate the arc length of the graph of f(x) over the interval [5, 7].
units.
Note: type an exact value for the length without using decimals.
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