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A Particle Moves in the Yz-Plane Along the Curve Represented r(t)=(4cost)j+(9sint)k\mathbf { r } ( t ) = ( 4 \cos t ) \mathbf { j } + ( 9 \sin t ) \mathbf { k }

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A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) =(4cost) j+(9sint) k\mathbf { r } ( t ) = ( 4 \cos t ) \mathbf { j } + ( 9 \sin t ) \mathbf { k } . Find the minimum value of rt\left\| \mathbf { r } ^ {t } \right\|


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