Find the length of the curve. ? = 1 + 3? 2 , ? = 4 + 2? 3 , 0 ≤ ? ≤ 1

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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Find the length of the curve. ? = 1 + 3?
2
, ? = 4 + 2?
3
,
0 ≤ ? ≤ 1

Encuentre la longitud de la curva.
x = 1+ 3t2, y= 4 + 2t3,
0 < t < 1
Transcribed Image Text:Encuentre la longitud de la curva. x = 1+ 3t2, y= 4 + 2t3, 0 < t < 1
Expert Solution
Step 1

To find the length of the curve-

x=1+3t2  , y=4+2t3  , 0t1

Here we will use the following formulas-

ddx(a)=0ddx(xn)=nxn-1xndx=xn+1n+1

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