(a) R is the region bounded by the curves y = 3 - sinx, z = sinx, x = 0 and x = n. Sketch both curves and shade in the region R. (Graph paper not required). Find the area of the region R in terms of T. (b) The portion of the curve y = 3vx between y = 0 and y = 6 is rotated through a full revolution about the y-axis Sketch the solid of revolution and, by integration, find its volume. Give your answer correct to two decimal places.
(a) R is the region bounded by the curves y = 3 - sinx, z = sinx, x = 0 and x = n. Sketch both curves and shade in the region R. (Graph paper not required). Find the area of the region R in terms of T. (b) The portion of the curve y = 3vx between y = 0 and y = 6 is rotated through a full revolution about the y-axis Sketch the solid of revolution and, by integration, find its volume. Give your answer correct to two decimal places.
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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