Consider the Cardioid r = 2 − 2 sin θ. (a) Find its total arc length. (b) Determine the area of the region that is enclosed by the curve. (c) At which points (r, θ) 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 θ. (a) Find its total arc length. (b) Determine the area of the region that is enclosed by the curve. (c) At which points (r, θ) 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).
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 28AR: Determine the arc length from point C to point D on the template shown.
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Question
Consider the Cardioid r = 2 − 2 sin θ.
(a) Find its total arc length.
(b) Determine the area of the region that is enclosed by the curve.
(c) At which points (r, θ) 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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