(a) If the function f(x) = x3 + ax2 + bx has the local minimum value -2/3...

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(a) If the function f(x) = x3 + ax2 + bx has the local minimum value -2/3 √3 at 1/√3, what are the values of a and b?
(b) Which of the tangent lines to the curve in part (a) has the smallest slope?
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