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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A. ,
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,
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C. ,
,
,
,
D. -6e, 24e2, -120e3, 720e4, -5040e5
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C.
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