Determine the area of the surface generated by revolving these curves (show your working out) a) y=√(2x−x2) where 0.5 ≤ x ≤ 1.5 about the x-axis. b) x = (ey+e−y)/2 where 0 ≤ y ≤ ln 2 about the y-axis.

Determine the area of the surface generated by revolving these curves (show your working out) a) y=√(2x−x2) where 0.5 ≤ x ≤ 1.5 about the x-axis. b) x = (ey+e−y)/2 where 0 ≤ y ≤ ln 2 about the y-axis.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...

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Question

Determine the area of the surface generated by revolving these curves (show your working out)

a) y=√(2x−x²) where 0.5 ≤ x ≤ 1.5 about the x-axis.

b) x = (e^y+e^−y)/2 where 0 ≤ y ≤ ln 2 about the y-axis.

Expert Solution