Ink bottle Conical flask Evaporating flask Bucket For a science experiment, you are filling up various bottles with liquid, pictured above. The liquid comes from a tap that pours water at a constant rate. 1. For each bottle, sketch a graph of the height of liquid in the bottle as a function of time. 2. For each bottle, sketch a graph of the rate of change of the height of liquid in the bottle as a function of time. 3. For each graph in part (2), imagine that it described the height of liquid in a bottle as a function of time. If it is possible for a bottle being filled from a tap pouring at a constant rate to generate such a graph, sketch the bottle. For the other graphs, explain why no bottle could generate them.