3. A company designs spinning toys using the family of functions y = cxv4 x', where c is a positive %3D constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of y = cxy4 x, for some c. Each spinning toy is in the shape of the solid generated when such a region is %3D revolved about the x-axis. Both x and y are measured in inches. (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cxV4 - x for c = 6. (4 -2:) (b) It is anown that, for y = exV4 – x² For a particular spinning toy, the radius of the V4 - x? xp largest cross-sectional circular slice is 1.2 inches. What is the value of c for this spinning toy? (c) For another spinning toy, the volume is 2n cubic inches. What is the value of c for this spinning toy?

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