MTH 119 Section 3.6 Homework 3.6.7 Docking A Boat A boat is pulled toward a dock by means of a rope wound on a drum. (2 pts.) (a) If x is the horizontal distance from the bow of the boat to the dock, y is the vertical distance between the bow of the boat and the rope wound and z is the length of the rope, write an expression relating the variables x and z. Hint: The vertical distance between the bow of the boat and wound drum is constant, so y = 4. (3 pts.) (b) Find x' using implicit differentiation. andtwo Differentiation (2 pts.) (c) If the rope is being pulled in at the rate of 3 ft/sec and the boat is 25 ft from the dock, then how fast is the boat approaching the dock? Round your answer to the nearest whole number. Remember to include units in your answer. (o) How fest is thin top of the ladder sliding down the wall number, Remember is include title in your