4 A performance hall is in the shape of a prism whose cross-sectional area can be TO modelled by the curve y = 5.1 cos 10 -5 sxs 5. A temporary screen is to be fitted at one end of the hall. The cross-section of the screen will be in the shape of a rectangle. A possible screen is shown in the diagram below. -X- The cross-sectional area of the screen should be as large as possible. a Write down a model for the cross- sectional area (A) of the screen in terms of x, the x-coordinate of the right-hand vertical side. dA b Find dx C Find the maximum value for the cross- sectional area of the screen.

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