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 L = Part 1. Let f(x) = 4 ln(x) Setup the integral that will give the arc length of the graph of f(x) over the 32 interval [1, 3]. Part 2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. 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(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 L = Part 1. Let f(x) = 4 ln(x) Setup the integral that will give the arc length of the graph of f(x) over the 32 interval [1, 3]. Part 2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. L units. Note: type an exact value for the length without using decimals.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...
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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
L =
Part 1.
Let f(x) = 4 ln(x)
Setup the integral that will give the arc length of the graph of f(x) over the
32
interval [1, 3].
Part 2.
Calculate the arc length of the graph of f(x) over the interval [1, 3].
L
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%2F7638c7fa-2dc0-4977-804d-6dc628871fc6%2F7euret_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
L =
Part 1.
Let f(x) = 4 ln(x)
Setup the integral that will give the arc length of the graph of f(x) over the
32
interval [1, 3].
Part 2.
Calculate the arc length of the graph of f(x) over the interval [1, 3].
L
units.
Note: type an exact value for the length without using decimals.
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