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Find Parametric Equations for the Tangent Line to the Curve x=9tx = 9 t

Question 111

Multiple Choice

Find parametric equations for the tangent line to the curve with parametric equations x=9tx = 9 t , y=7t2,z=4t3y = 7 t ^ { 2 } , z = 4 t ^ { 3 } at the point with t=1t = 1 . Select the correct answer.


A) x=9+9t,y=7+14t,z=4+12tx = 9 + 9 t , y = 7 + 14 t , z = 4 + 12 t
B) x=9+9t,y=7+7t,z=4+4tx = 9 + 9 t , y = 7 + 7 t , z = 4 + 4 t
C) x=1+9t,y=1+7t,z=1+4tx = 1 + 9 t , y = 1 + 7 t , z = 1 + 4 t
D) x=1+9t,y=1+14t,z=1+12tx = 1 + 9 t , y = 1 + 14 t , z = 1 + 12 t

Correct Answer:

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