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categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
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16.
+ -/1 points SCalcET6 10.1.044.
Consider the figure below, where a = 2.
x-2a
My Notes
Ask Your Teache
(a) Find parametric equations for the set of all points P as shown in the figure such that | OP | = |AB|. (This curve is called the cissoid of Diocles after
the Greek scholar Diocles, who introduced the cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given
cube.)
x(0) =
y(0) =
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(b) Use the geometric description of the curve to draw a rough sketch by hand. Check your work by using the parametric equations to graph the curve.
(Do this on paper. Your instructor may ask you to turn in this work.)
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