Consider the polar function r = 1+ cos 0, 0 ...

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Consider the polar function r = 1+ cos 0, 0 <0< 2. This is a special case of limacon r =1 cos 0 with c = 1. It is called a cardioid. +1.5 -0.5 -0.5 0.5 1.5 --0.5 --1.5 (a) Find the points on the curve where the tangent is horizontal or vertical. (b) Find the points where the curve is NOT smooth (if any). 2. 1. Consider the polar function r = 1+ cos 0, 0 <0< 2. This is a special case of limacon r =1 cos 0 with c = 1. It is called a cardioid. +1.5 -0.5 -0.5 0.5 1.5 --0.5 --1.5 (a) Find the points on the curve where the tangent is horizontal or vertical. (b) Find the points where the curve is NOT smooth (if any). 2. 1.