(Solved): A boat is being pulled toward a dock as shown in the figure to the right, If the rope is being pull ...

A boat is being pulled toward a dock as shown in the figure to the right, If the rope is being pulled in at the rate of 1 foot get second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.) Use implicit differentiation to find \( y^{\prime} \), and then evaluate \( y^{\prime} \) for \( x^{2} y-3 x^{2}-4=0 \) at the point \( (2,4) \). \[ \begin{array}{l} y^{\prime}= \\ \left.y^{\prime}\right|_{(2,4)}=\quad \text { (Simplify your answer.) } \end{array} \]