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3. Consider the curve C defined by the equations a; = 3t2, y t3 3t, and let A (12, 2) be a point on it. 3.1. Show that C is a smooth curve on its domain R. 3.2. Find the Cartesian equation of the tangent line to C at A. 3.3. Determine if C is concave up or concave down at A.