Work Problem 3a) Find the exact length L of the curve1= (x² + 2) ²³₂ 0 ≤ x ≤ 3,ž,Yb) Can you say, without calculating, that thelength of the curve2Y = ²(x² + 2) ²³,0 ≤ x ≤ 3,where y ≥ 0, is equal to 2L? Explain.(૨૨

a) Find the exact length of the curve y= 13x2+232, 0≤x≤3 b) Can we say, without calculating, that…

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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 43E

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Question

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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