Find the work done in lifting the bucket (without the rope) 16ft. Wbuckesftlb Part 2. Assuming the force required to lift the rope is equal to its weight, find the force function, F(x), that acts on the rope when the bucket is at a height of x ft. F(x)= Part 3. Setup the integral that will give the work required to lift the rope 16ft. Part 4. The total amount of work done in lifting the bucket and rope is W=ftlb. Note: enter your answer using values correct to three decimal places. Note: You can eam partial credit on this probiem