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A Particle Moves in the Yz-Plane Along the Curve Represented r(t)=(5cost)j+(7sint)k\mathbf { r } ( t ) = ( 5 \cos t ) \mathbf { j } + ( 7 \sin t ) \mathbf { k }

question 70

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A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) =(5cost) j+(7sint) k\mathbf { r } ( t ) = ( 5 \cos t ) \mathbf { j } + ( 7 \sin t ) \mathbf { k } . Find the maximum value of rt\left\| \mathbf { r } ^ { t } \right\|

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