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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
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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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]
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:

y=3x32-1

To find the arc length of the curve.

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