morganvogt99 morganvogt99

03-09-2017
Mathematics

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f(t)=10t2+5t+1 . Find the value of t for which the tangent line to the graph of f(t) has slope 1.

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jdoe0001 jdoe0001

03-09-2017

[tex]\bf f(t)=10t^2+5t+1\implies \stackrel{\textit{slope of tangent}}{\cfrac{df}{dt}}=20t+5\implies 1=20t+5 \\\\\\ -4=20t\implies -\cfrac{4}{20}=t\implies -\cfrac{1}{5}=t[/tex]

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