(08.03 MC) Which of the following describes the area of the region in quadrants I and IV bounded by f(x), g(x), and the y-axis, if f(x) = x2 - 2x and g(x) = -3x - x2 + 3? Select one: O a. [(-x-2x2 +3) dx = 11 6 O b. [(x+2x2-3)dx= 11 6 O c. [ s(-X-2x2 +3)dx = 125 x 24 O d. ['s(x+2x2 -3) dx = 125 24(08.02 HC) Must show all work to receive full credit. 3 The water level of a certain body of water is changing at a rate of W(t)= gm(4 inches per hour, where trepresents hours since 12 a.m. / Part A: Using correct units, explain the meaning of I,'C'W(l]dr 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) Question Text: (08.03|08.04 HC) Must show all work to receive full credit. 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)