# D limr 0r 10 0 10312016 hw03s22

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(d) lim_(r->0)R = ( \$\$10 , \$\$0 ).
10/31/2016 hw03S2.2 12/13 14. 4/6 points | Previous Answers 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=( 9 r 2 ,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 r->infty (a) The line through A and C has equation: y= \$\$−29 r x + \$\$2 r (b) The x-coordinate of the point B is \$\$9 r 281 r 2+1 . (c) The y-coordinate of the point B is \$\$−9 r 81 r 2+4+2 r . (d) The limit as r->infty of the x-coordinate of B is \$\$49 (if your answer is infty , write infinity).
10/31/2016 hw03S2.2 13/13 (e) The limit as r->infty of the y-coordinate of B is \$\$∞ (if your answer is infty , write infinity).