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8. How much work is done pushing the box in Fig. 25 (Show work) (a) from x = 3 to x =7 feet? (b) from x = 0 to x =7 feet? 30- 20 force (pounds) 10 - position (feet) Fig. 25 Section 5.4 9. Divide the flat plate in Figure 20 into rectangles, calculate the mass, moments and centers of mass of each piece, and use those results to find the center of mass of the plate. Assume that the density of the plate is 1 g/cm2. Plot the location of the center of mass for each shape. (Show work) T 1 34 6 Fig. 20 10. Sketch the region bounded between y = x' and the x-axis for -2 5 x $ 2. Calculate the centroid of each region (use Simpson's rule with n = 20 if necessary). Plot the location of the centroid on your sketch of the region. (Show work, if you use a spreadsheet like Microsoft Excel, attach a printout of the formula view by " Ctri + " " )