Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 37WE
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Question
Determine the arc length of the curve. Set up the
Expert Solution
Step 1
the given function is:
for
we have to determine the length of the curve.
as we know that the length L of the curve y=f(x) from x=a to x=b is given by:
Step 2
as
differentiating both the sides with respect to x, we get
Step 3
as we have .
therefore the upper limit of x is 3 and the lower limit of x is 0.
therefore the length L of the curve from x=0 to x=3 is :
let the integral be I.
Step 4
therefore,
let 4x=u
therefore,
4dx=du
now when x=0, u=4(0)=0
when x=3, u=4(3)=12
Step 5
therefore now substitute these values in the integral I.
therefore,
now let the integral be
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