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.

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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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.
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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