please include all steps necessary for each question

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A yo-yo is moving up and down a string so that its velocityI at time t is given by mm = Qmsm for time I: 0. The initial position ofthe yoyo at time t: I) is x = 2. Part A: Find the average value of um on the interval [0%]; (10 points) Part B: What is the displacement of the yoyo from time .t= D to time t: 11'? (10 points) Part 0: Find the total distance the yo-vo travels from time I: IZI to time I: Tr. (10 points) A graphing calculator is required for this problem. Let R and S be the regions in the first quadrant shown in the figure. The region R is bounded by the x-axis and the graph of y = 2sinx. The region S is bounded by the y-axis and the graphs of y = 3 - 2x and y = 2sinx. 5 4 3 2 S R X -1 -2 2 -1 0 1 2 3 4 5 6 . Re Part A: Find the area of S. (15 points) Part B: Find the volume of the solid generated when R is revolved about the x-axis. (15 points) Part C: Write, but do not evaluate, an integral expression that can be used to find the volume of the solid when S is revolved about the x-axis. (10 points)For the regions hounded by y = E-eosx and y = g x2 _ 1 Part: A: Find the limits of integration. no points} Part: B: Write an expression representing the total area. {10 points] Part: o: Solve for the total area. no points]