The motion of an insect on a table is given as \( x=4 t-2 \sin \) \( t \) and \( y=4-2 \cos t \)...

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The motion of an insect on a table is given as \( x=4 t-2 \sin \) \( t \) and \( y=4-2 \cos t \), where \( x \) and \( y \) are in metres and \( t \) is in seconds. Find the magnitude of minimum and maximum velocities attained by the insect.
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