The Curve $\vec { r } ( t ) = a t \vec { i } + ( t + 4 ) \vec { j } + \left( b t ^ { 2 } + 6 \right) \vec { k }$

question 34

Short Answer

The curve $\vec { r } ( t ) = a t \vec { i } + ( t + 4 ) \vec { j } + \left( b t ^ { 2 } + 6 \right) \vec { k }$ passes through the point (-12, 1, 51).Find a and b.

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