please include all steps necessary for each question

1)

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) 6 y = x2+3 A x = (y-5)2-2 X -1 26 -5 -4 -3 -2 -1 2 4 6 7The water level of a certain body of water is changing at a rate of W(t) = > cos | 4 - 5 ) inches per hour, where t represents hours since 12 a.m. Part A: Using correct units, explain the meaning of ], "W(f) of 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 7 p.m. to midnight. (2 points) Part C: Use your calculator to evaluate your integral from Part 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)