2. (08.03, 08.04 HC) For the regions bounded by y = 6cosx and y = = x2 -7. Part A: Find the limits of integration. (10 points) Part B: Write the expression representing the total area. (10 points) Part C: Solve for the total area. (10 points) B i U Font Family 3. (08.01 HC) A yo-yo is moving up and down a string so that its velocity at time t is given by v(t) = 2cos(t) for time t 2 0. The initial position of the yo-yo at time t = 0 is x = 2. Part A: Find the average value of v(t) on the interval |0. . (10 points) Part B: What is the displacement of the yo-yo from time t = 0 to time t = n? (10 points) Part C: Find the total distance the yo-yo travels from time t = 0 to time t = It. (10 points)