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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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Definitions:

Jawless Fish

A group of vertebrates known for lacking jaws, including lampreys and hagfish, representing the earliest fish in the evolutionary history.

Bones

The rigid organs that constitute part of the endoskeleton of vertebrates, providing support and protection and enabling movement.

Fins

External appendages on fishes and some other aquatic animals, used primarily for movement, steering, and balance in water.

Jawless Fish

Primitive vertebrates lacking jaws, such as lampreys and hagfish, forming the class Agnatha.

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