Hello Really need help with this !!! Thank You In section 3.5, you studied a fam

Question

Hello Really need help with this !!!

Thank You

In section 3.5, you studied a famous curve called the Witch of Agnesi. In this project you will take a closer look at this function. Consider a circle of radius a centered on the y-axis at (0,a). Let A be a point on the horizontal line y = 2a, let O be the origin, and let B be the point where the segment OA intersects the circle. A point P is on the Witch of Agnesi if P lies on the horizontal line through B and on the vertical line through A. Show that the point A is traced out by the vector-valued function rA( theta ) = 2a cot theta i + 2aj, 0

Explanation / Answer

The "witch of Agnesi" is a curve studied by Maria Agnesi in 1748 in her book Instituzioni analitiche ad uso della giovent

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