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Q8. An architectural feature of a grey sandstone building is a rectangular wall, 6 m × 5 m, with an arched window.

The curved edge of the window is part of the parabola with equation y = 3x – 1/2 x², as shown in Fig Q8.

Determine EACH of the following:

(a) the area of the window; (10)

(b) the area of the sandstone; (2)

(c) the distance of the top of the window from the base. (4)