The point P(3/2, 5) lies on the curve for which dy/dx = 2e 3-2x . The point

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The point P(3/2, 5) lies on the curve for which dy/dx = 2e3-2x.

The point Q(1, k) also lies on the curve.

a. Find the value of k.

The normal to the curve at the points P and Q intersect at the point R.

b. Find the coordinates of R.

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