R''\left(rac{5 + \sqrt{7}}{9}

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• R''(t) = rac{d}{dt}(9t^2 - 10t + 2) = 18t - 10.
• Calculate \( R''(t) \) at each critical point:
• For \( t = rac{5 + \sqrt{7}}{9} \):
• ight) = 18\left(rac{5 + \sqrt{7}}{9}
• ight) - 10 = 2(5 + \sqrt{7}) - 10 = 2\sqrt{7} > 0 \quad ( ext{local minimum}).
• For \( t = rac{5 - \sqrt{7}}{9} \):

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