Find the coordinates of the stationary points on each of the following curves and determine the nature

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Find the coordinates of the stationary points on each of the following curves and determine the nature of each of the stationary points.

a. y = x2 – 12x + 8

b. y = (5 + x) (1 – x)

c. y = x3 – 12x + 2

d. y = x3 + x2 – 16x – 16

e. y = x(3 – 4x – x2)

f. y = (x – 1) (x2 – 6x + 2)

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