(a) Use Desmos to draw the graph x(t) = cost, y(t) = sin³t for −ñ ≤ t ≤π. (b) Find the area of the bounded region. (c) Find the volume of solid of revolution by revolving the curve along the y-axis. (d) Write down the arc length integral of this curve from t = 0 to t = π/2.
(a) Use Desmos to draw the graph x(t) = cost, y(t) = sin³t for −ñ ≤ t ≤π. (b) Find the area of the bounded region. (c) Find the volume of solid of revolution by revolving the curve along the y-axis. (d) Write down the arc length integral of this curve from t = 0 to t = π/2.
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
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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