a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtained by rotating the curve in part (a) about the x-axis. c) Find the area of the surface obtained by rotating the curve in part (a) about the y-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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a) Find the length of the curve y(x) = x3/2/3- x/2, 3 <x < 4.
b) Find the area of the surface obtained by rotating the curve in part (a)
about the x-axis.
c) Find the area of the surface obtained by rotating the curve in part (a)
about the y-axis.
Transcribed Image Text:a) Find the length of the curve y(x) = x3/2/3- x/2, 3 <x < 4. b) Find the area of the surface obtained by rotating the curve in part (a) about the x-axis. c) Find the area of the surface obtained by rotating the curve in part (a) about the y-axis.
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