The curve to the left (red) is approximated with little segments. Each segment makes a triangle [1]. Each small triangie can be viewed as having differential lengths So: ds? = dx + dy?. And ds = /dx? + dy² As Ax = dx becomes small, Then Lids L= lim EL, L= f ds, i on uve Similarily: L= lim EL, Ay L= f ds, Sa L= f ds your choice of dy/dx or dz/dy So, Arc Length L= f ds ifx - My),csys d 1. Find the are length for y = 3x/2-1 over [0,1] 414
The curve to the left (red) is approximated with little segments. Each segment makes a triangle [1]. Each small triangie can be viewed as having differential lengths So: ds? = dx + dy?. And ds = /dx? + dy² As Ax = dx becomes small, Then Lids L= lim EL, L= f ds, i on uve Similarily: L= lim EL, Ay L= f ds, Sa L= f ds your choice of dy/dx or dz/dy So, Arc Length L= f ds ifx - My),csys d 1. Find the are length for y = 3x/2-1 over [0,1] 414
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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Question
![152 Activity on Are Length and Surrace Area
Names
The curve to the left (red) is approximated with
little segments. Each segment makes a triangle
[1]. Each small triangle can be viewed as having
differential lengths
So: ds? = dx + dy?. And ds = dx + dy?
As Ax = dx becomes small,
Then Lida
L= lim EL,
miutesecton
of curve
Ax 0
preseative
hyptene
L= f ds.
Similarily:
L= lim £L,
Ay6
L= f ds,
So, 1.= f ds
your choice of dy/dx or dx/dy
ify = /(x), asxsb
So, Arc Length
ds
L= f ds
ds
dy
ifx - 4 y),esysd
1. Find the arc length for y = 3x/2 -1 over [0,1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca42b389-89df-4627-8846-eef5d3cdb4e1%2F15e5c91a-b72a-4abf-a07f-c1d98e570366%2Fd4gdsv9_processed.png&w=3840&q=75)
Transcribed Image Text:152 Activity on Are Length and Surrace Area
Names
The curve to the left (red) is approximated with
little segments. Each segment makes a triangle
[1]. Each small triangle can be viewed as having
differential lengths
So: ds? = dx + dy?. And ds = dx + dy?
As Ax = dx becomes small,
Then Lida
L= lim EL,
miutesecton
of curve
Ax 0
preseative
hyptene
L= f ds.
Similarily:
L= lim £L,
Ay6
L= f ds,
So, 1.= f ds
your choice of dy/dx or dx/dy
ify = /(x), asxsb
So, Arc Length
ds
L= f ds
ds
dy
ifx - 4 y),esysd
1. Find the arc length for y = 3x/2 -1 over [0,1]
Expert Solution
Step 1
The given function is:
To find the arc length of the curve.
Step by step
Solved in 3 steps
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