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) = (9 tan t)i - (9 sin t)j + (4 cos2 t)k ; t0 = 

A. x = 9 + 18t, y = - - t, z = 4 - 4t
B. x = 18 + 9t, y = - - t, z= -4 + 2t
C. x = 9 + 18t, y = - - t, z = 2 - 4t
D. x = 9 + 18t, y = - + t, z = 2 + 4t


Answer: C

Mathematics

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