Consider the vector-valued functions stack r subscript 1 with rightwards arrow on top (t )equals left angle bracket t squared minus t comma 16 comma 5 t right angle bracket stack r subscript 2 with rightwards arrow on top (t )equals left angle bracket t plus 8 comma t squared comma t squared plus 4 right angle bracket These two curves intersect at t equals t subscript 0. Find t subscript 0 and the coordinates (x subscript 0 comma y subscript 0 comma z subscript 0 )of the point of intersection.