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(z) from the point (a, f(a)) to the point (b, f(b)) is given by L = Part 1. 3 Let f(z) + Setup the integral that will give the arc length of the graph of f(x) over the interval (4, 5]. 36 Part 2. Calculate the arc length of the graph of f(x) over the interval [4, 5]. 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(z) be a smooth function over the interval [a, b). The arc length of the portion of the graph of f(z) from the point (a, f(a)) to the point (b, f(b)) is given by
L =
Part 1.
3
Let f(z)
+
Setup the integral that will give the arc length of the graph of f(x) over the interval (4, 5].
36
Part 2.
Calculate the arc length of the graph of f(x) over the interval [4, 5].
L
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(z) be a smooth function over the interval [a, b). The arc length of the portion of the graph of f(z) from the point (a, f(a)) to the point (b, f(b)) is given by L = Part 1. 3 Let f(z) + Setup the integral that will give the arc length of the graph of f(x) over the interval (4, 5]. 36 Part 2. Calculate the arc length of the graph of f(x) over the interval [4, 5]. L units. Note: type an exact value for the length without using decimals.
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