Identify the length of the arc having parametric equations x = t3 and y = 2t2 from t = -2 to t = 0

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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Arclength (Integ)

2
S1+
( dx
if y = f(x)
1+
dy.
if x = g(y)
S =
2
2
t2
S =
dx
dt
if y = f(t) and x = g(t)
+
dt
Je
p2
+ * de
if r = f(8)
Transcribed Image Text:2 S1+ ( dx if y = f(x) 1+ dy. if x = g(y) S = 2 2 t2 S = dx dt if y = f(t) and x = g(t) + dt Je p2 + * de if r = f(8)
Identify the length of the arc having parametric equations x =
t3 and y = 2t2 from t = -2 to t = 0
Transcribed Image Text:Identify the length of the arc having parametric equations x = t3 and y = 2t2 from t = -2 to t = 0
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