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 - 7t)i + (t + 6)j + k ; t0 = 2

A. x = 9t, y = t, z = t
B. x = 2 + t, y = t, z = t
C. x = 2 + 9t, y = 8 + t, z = 1
D. x = 2 + 9t, y = 8 + t, z = 0


Answer: C

Mathematics

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