The equation of a curve is y = 3 + 4x x 2 . i. Show

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The equation of a curve is y = 3 + 4x − x2.
i. Show that the equation of the normal to the curve at the point (3, 6) is 2y = x + 9.

ii. Given that the normal meets the coordinate axes at points A and B, find the coordinates of the mid-point of AB.

iii. Find the coordinates of the point at which the normal meets the curve again.

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