The curve meets the y-axis at the point Q. The tangent at the point P(3, 3) to

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The curve

meets the y-axis at the point Q.

The tangent at the point P(3, 3) to this curve meets the y-axis at the point R.

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

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