The diagram shows the curve y = 10 + 9x x 2 . Points P(6, 28)

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The diagram shows the curve y = 10 + 9x − x2. Points P(6, 28) and Q(10, 0) lie on the curve. The tangent at P intersects the x-axis at R.

a. Find the equation of the tangent to the curve at P.
b. Find the area of the shaded region.

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