The diagram shows the curve = 4e 1/2x - 6x + 3 and its minimum point M.

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The diagram shows the curve = 4e1/2x- 6x + 3 and its minimum point M.

i. Show that the x-coordinate of M can be written in the form ln a, where the value of a is to be stated.

ii. Find the exact value of the area of the region enclosed by the curve and the x = 0, x = 2 and y = 0.

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