The curve y = 2x 3 + ax 2 + bx 30 has a stationary point

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The curve y = 2x3 + ax2 + bx − 30 has a stationary point when x = 3.
The curve passes through the point (4, 2).
a. Find the value of a and the value of b.
b. Find the coordinates of the other stationary point on the curve and determine the nature of this point.

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