Consider the Cardioid -r = 2 2 sin 6. {3.) Find its total arc length. (b) Determine the area of the region that is enclosed by the curve. (c) At which points (130) of the curve do horizontal tangent lines exist? ((1) Sketch the graph of the curve. Include the horizontal tangent lines at points acquired in part (c). TT/2 710/ 12 90* 57T/12 105 750 Polar equation: 27t/3 TC/ 3 120 60 3TC/4 135. Angle (0) Radius (r) Angle (0) Radius (r) 150 . OE It/ 12 117t/ 12 15 165. .0 180 345 195 237t/ 12 330 210' 1170/6 9/ALL 225 315 57C/ 4 7 240. 300 47t/3 57/3 255 285 270 1710/ 12 197t/12 37t/2