) 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).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.
) 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).
Transcribed Image Text:4. ) 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).
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