The water level of a certain body of water is changing at a rate of W(t) :%ms[aJ inches per hour, where represents hours since 12 a.m. Part A: Using correct units, explain the meaning of I&zW{f)df in terms of the context of this problem. (1 point) Part B: Write the integral that represents the number of inches that the water level changes from 6 a.m. to noon. (2 points) Part C: Use your calculator to evaluate your integral from Fart B. Explain the meaning of the answer in terms of the context. (3 points) Part D: What is the average hourly number of inches that the water level changes for this lake in one day? (4 points) For the regions A and B shown in the graph: Part A: Discuss the limits of integration. (3 points) Part B: Set up an integral expression that represents the total area. (4 points) Part C: Calculate the total area. (3 points)