) Consider the Cardioid r = 2 - 2 sin 0. (a) Find its total arc length. (b) Determine the area of the region that is enclosed by the curve. (c) At which points (r, 0) of the curve do horizontal tangent lines exist? (d) Sketch the graph of the curve. Include the horizontal tangent lines at points acquired in part (c).
) Consider the Cardioid r = 2 - 2 sin 0. (a) Find its total arc length. (b) Determine the area of the region that is enclosed by the curve. (c) At which points (r, 0) of the curve do horizontal tangent lines exist? (d) Sketch the graph of the curve. Include the horizontal tangent lines at points acquired in part (c).
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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