(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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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