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What real value of t produces the smallest value of the quadratic t^2 - 9t - 36 + t^2 + 7t - 16?

 Aug 29, 2021
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What real value of t produces the smallest value of the quadratic t^2 - 9t - 36 + t^2 + 7t - 16?

 

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\(f(t)=2t^2 - 2t - 52\\ \frac{df(t)}{dt}=4t-2=0\\ 4t=2\\ \color{blue}t=\frac{1}{2}\)

 

\(t=\frac{1}{2}\) produces the smallest value of the quadratic t^2 - 9t - 36 + t^2 + 7t - 16.

laugh  !

 Aug 29, 2021

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