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Find Parametric Equations for the Tangent Line to the Curve x=3tx = 3 t

Question 78

Multiple Choice

Find parametric equations for the tangent line to the curve with parametric equations x=3tx = 3 t y=7t2y = 7 t ^ { 2 } z=8t3z = 8 t ^ { 3 } at the point with t=1t = 1


A) x=3+3tx = 3 + 3 t y=7+14ty = 7 + 14 t z=8+24tz = 8 + 24 t
B) x=1+3tx = 1 + 3 t y=1+14ty = 1 + 14 t z=1+24tz = 1 + 24 t
C) x=1+3tx = 1 + 3 t y=1+7ty = 1 + 7 t z=1+8tz = 1 + 8 t
D) x=3+3tx = 3 + 3 t y=7+7ty = 7 + 7 t z=8+8tz = 8 + 8 t

Correct Answer:

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