What real value of t produces the smallest value of the quadratic?
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\(t^2 -12t - 36 + t^2 - 8t + 14\\ f(t)=2t^2-20t-22\\ f'(t)=4t-20=0\\ \color{blue}t=5\)
t = 5 produces the smallest value of the quadratic \(t^2 -12t - 36 + t^2 - 8t + 14 \).
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