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A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the origin and the point A=(0,2r),

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A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the origin and the point A=(0,2r), as pictured below. A line passes through the point A and the point C=(32,0) on the x-axis. In this problem, we will investigate the coordinates of the intersection point B between the circle and the line, as roo A=(0,2r) B C (0,0) (a) The line through A and C has equation: y= x+ (b) The x-coordinate of the point B is (c) The y-coordinate of the point B is (d) The limit as roo of the x-coordinate of B is (if your answer is oo, write infinity). (e) The limit as roo of the y-coordinate of B is (if your answer is oo, write infinity).

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