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) = (4t2 - 4t)i + (t + 9)j + k ; t0 = 2

A. x = 8 + 12t, y = 11 + t, z = 1
B. x = 8 + 12t, y = 11 + t, z = 0
C. x = 12t, y = t, z = t
D. x = 8 + t, y = t, z = t


Answer: A

Mathematics

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