The normals to the curve 2y = 3x 3 7x 2 + 4x, at the points

Question:

The normals to the curve 2y = 3x3 − 7x2 + 4x, at the points O(0, 0) and A(1, 0), meet at the point N.

a. Find the coordinates of N.

b. Calculate the area of triangle OAN.

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