A curve has the equation y = 1.5x 3 3.5x 2 + 2x. a. Show that

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A curve has the equation y = 1.5x3 − 3.5x2 + 2x.

a. Show that the curve passes through the points (0, 0) and (1, 0).

b. Find the equations of the tangents and normals at each of these points.

c. Prove that the four lines in b form a rectangle.

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