7. Let F be the fluid force on a side of a semicircular plate of radius r meters, submerged vertically in water so that its diameter is level with the water's surface (Figure 9). a. Show that the width of the plate at depth y is 2/r2 – y². b. Calculate F as a function of r using Eq. (2). y 2 vr2 – y² Rogawski et al., Calculus, 4e, © 2019 W. H. Freeman and Company FIGURE 9

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