A curve has equation y = x sin 2x for 0 x radians. a.

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A curve has equation y = x sin 2x for 0 ≤ x ≤ π radians.

a. Find the equation of the normal to the curve at the point P(π/4, π/4).

b. The normal at P intersects the x-axis at Q and the y-axis at R.

Find the coordinates of Q and R.

c. Find the area of triangle OQR where O is the origin.

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