points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each case.  For each point, state the x-c

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Chapter2: Second-order Linear Odes
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Find the stationary points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each case. 

For each point, state the x-coordinate of the stationary point and then select the nature of it: local maximum, point of inflection or local minimum. 

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