A curve, called a witch of Maria Agnesi, consists of all

Chapter 10, Problem 10.50

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A curve, called a witch of Maria Agnesi, consists of all possible positions of the point in the figure. Show that parametric equations for this curve can be written as Sketch the curve. 44. (a) Find parametric equations for the set of all points as shown in the figure such that . (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.) OP AB P O x a A P y=2a y C y 2a sin2 x 2a cot P

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