The vase in Figure 4.31 is filled with water at a constant rate (i.e., constant volume per unit time). (a) Graph y = f(t), the depth of thewater, against time, t. Show on your graph the points at which the concavity changes. (b) At what depth is y = f(t) growing most quickly? Most slowly? Estimate the ratio between the growth rates at these two depths. y y1 y2 y3 Figure 4.31

Field trips extra credit (free of cost) On campus to see building stones 0ct 3-7 and oct 10-14 1 hour long and led by TAs (26 trips available) Off campus field trips to Central Texas or Galveston sign up 2 weeks in advance and confirm Central Texas Oct 22; Nov 5 live at 6 am and come back at 10 pm Galveston Oct 29; Nov 12 5-8pm Houston Museum of Natural Science Thursday afternoons on 10/20,...