a) Find the exact length L of the curve 1 y = = = (x² + 2) ² ₁ 0 ≤ x ≤ 3, 3 b) Can you say, without calculating, that th length of the curve y ²/3 (x² + 2) ³² ₁ 0 ≤ x ≤ 3, where > 0. is equal to 2L? Explain

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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Work Problem 3
a) Find the exact length L of the curve
1
= (x² + 2) ²³₂ 0 ≤ x ≤ 3,
ž,
Y
b) Can you say, without calculating, that the
length of the curve
2
Y = ²(x² + 2) ²³,0 ≤ x ≤ 3,
where y ≥ 0, is equal to 2L? Explain.
(૨૨
Transcribed Image Text:Work Problem 3 a) Find the exact length L of the curve 1 = (x² + 2) ²³₂ 0 ≤ x ≤ 3, ž, Y b) Can you say, without calculating, that the length of the curve 2 Y = ²(x² + 2) ²³,0 ≤ x ≤ 3, where y ≥ 0, is equal to 2L? Explain. (૨૨
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