**What would be the dominant term, $n\lg n$ or $n\sqrt n$?**
The dominant term would be *$n\sqrt n$.*
**What is the Theta notation ($\Theta$) for the function $f(n)=n\lg n+n\sqrt n$?**
The Theta notation ($\Theta$) for the function $f(n)=n\lg n+n\sqrt n$ is *$\Theta(n\sqrt n)$.*
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