Question Refer to the figure showing the parabola given by f(x)=4- with 0x4. D is the point

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Refer to the figure showing the parabola given by f(x)=4- with 0≤x≤4. D is the point (x: 0) and DB is parallel to the y-axis, with B on the graph of f. (a) (b) 0 Write down the coordinates of B in terms of x. B D(x: 0) Show that the area, A. of AOBD is given by: A = 2x- - 2x - ² Determine how far D should be from O in order that the area of AOBD is as large as possible. Refer to the figure showing the parabola given by f(x)=4- with 0≤x≤4. D is the point (x: 0) and DB is parallel to the y-axis, with B on the graph of f. (a) (b) 0 Write down the coordinates of B in terms of x. B D(x: 0) Show that the area, A. of AOBD is given by: A = 2x- - 2x - ² Determine how far D should be from O in order that the area of AOBD is as large as possible.