y=8x-x2 P (5,15) Figure 2 (8,0) - x and line Figure 2 shows the curve y = 8x curve at point P (5, 15). The curve meets the x- (a) Find the equation of line 1. Give your answer in the form y = mx + c. which is a tangent to the axis at the origin and (8,0). (b) Find the area, which is shaded on the diagram, that is bounded by the curve y = 8x - x², line I and the x - axis. Point Q lies on the curve y = 8x - x² where the tangent to the curve is perpendicular to line 1. (c) Find the coordinates of point Q.

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