A particle moves along the curve \( y=x^{\frac{3}{2}} \) in the fir...

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A particle moves along the curve \( y=x^{\frac{3}{2}} \) in the first
P
W quadrant in such a way that its distance from the origin increases at the rate of 11 units per second. The value of \( \frac{d x}{d t} \) where \( x=3 \) is, \( t \) is time in seconds.
(1) 4
(2) \( \frac{9}{2} \)
(3) \( \frac{3 \sqrt{3}}{2} \)
(4) 12
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