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Find Parametric Equations for the Tangent Line to the Curve x=2tx = 2 t

Question 39

Multiple Choice

Find parametric equations for the tangent line to the curve with parametric equations x=2tx = 2 t y=7t2y = 7 t ^ { 2 } z=4t3z = 4 t ^ { 3 } at the point with t=1t = 1


A) x=2+2tx = 2 + 2 t y=7+14ty = 7 + 14 t z=4+12tz = 4 + 12 t
B) x=2+2tx = 2 + 2 t y=7+7ty = 7 + 7 t z=4+4tz = 4 + 4 t
C) x=1+2tx = 1 + 2 t y=1+7ty = 1 + 7 t z=1+4tz = 1 + 4 t
D) x=1+2tx = 1 + 2 t y=1+14ty = 1 + 14 t z=1+12tz = 1 + 12 t

Correct Answer:

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