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(a) The gradient of the curve #y=ax^2 + bx# at the origin is equal to 8. Find the values of a and b if the curve has a maximum point at x=4. (b) Determine the area of the region bounded by the lines x=0, x=6, y=0 and the curve #y=x^2 + bx#, for the values of a and b obtained in part (a).