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What real value of  produces the smallest value of the quadratic t^2 - 9t - 36 + 3t^2 - t + 10?

 
 Nov 25, 2021
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What real value of produces the smallest value of the quadratic t^2 - 9t - 36 + 3t^2 - t + 10?

 

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\( t^2 - 9t - 36 + 3t^2 - t + 10\\ f(t)=4t^2-10t-26\\ f'(t)=8t-10=0\\ 8t=10\\ \color{blue}t= \dfrac{5}{4}\)

The value \(t = \dfrac{5}{4}\) produces the smallest value of the term \(t^2 - 9t - 36 + 3t^2 - t + 10.\)

laugh  !

 
 Nov 25, 2021

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