For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (6t2 - 6t)i + (t + 3)j + k ; t0 = 2
A. x = 18t, y = t, z = t
B. x = 12 + 18t, y = 5 + t, z = 0
C. x = 12 + 18t, y = 5 + t, z = 1
D. x = 12 + t, y = t, z = t
Answer: C
Mathematics
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