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\begin{tabular}{l} Question \\ Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate. \\ \( \qquad \begin{aligned} f(x)=2 x^{3}+3 x-2 \\ g(x)=3 x \ln (x)\end{aligned} \) \\ Select the correct answer below: \\ \begin{tabular}{l}\( f(x) \) grows at a faster rate. \\ \( g(x) \) grows at a faster rate. \\ f(x) and \( g(x) \) grow at the same rate. \\ There is not enough information to determine which function grows at a faster rate. \\ \hline\end{tabular} . \\ \hline\end{tabular}
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Question
Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate.
\[ \begin{array}{l} f(x)=2 x-3 e^{x} \\ g(x)=-4 x^{2}+3 x+2\end{array} \]
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Question
Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate.
\[ \begin{array}{l}f(x)=-3 x+4 \ln (x) \\ g(x)=2 x\end{array} \]
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3. \( \int \frac{e^{x} d x}{\sqrt{e^{x}-5}} \)
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Question
Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate.
\[ \begin{aligned} f(x)=4 x^{2}-5 \\ g(x)=3^{x}+2 x\end{aligned} \]
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Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate.
\[ \begin{array}{l}f(x)=x^{2}-2 x \\ g(x)=4^{x}-2 x\end{array} \]
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\begin{tabular}{l} Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate. \\ \( \qquad \begin{array}{ll}f(x)=x \\ g(x)=5 \ln (x)\end{array} \) \\ Select the correct answer below: \\ f(x) grows at a faster rate. \\ g(x) grows at a faster rate. \\ There is not enough information to determine which function grows at a faster rate. \\ \hline\end{tabular}
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\begin{tabular}{l} Question \\ Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate. \\ \( \qquad \begin{aligned} f(x)=2^{x}+2 x \\ g(x)=5 x^{3}\end{aligned} \) \\ Select the correct answer below: \\ f(x) grows at a faster rate. \\ g(x) grows at a faster rate. \\ There is not enough information to determine which function grows at a faster rate. \\ \hline\end{tabular}
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\[ f(x)=\frac{2 x^{\frac{3}{2}}}{5}-\frac{2 x^{\frac{3}{2}}}{3}-6 \text { over }[0,4] \]
Enter an exact answer. If there is more than one value of \( x \) in the interval at which the maximum or minimum occurs, you
should use a comma to separate them.
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\begin{tabular}{l} Question \\ Using L'Hospital's rule, determine whether \( f(x) \) or \( g(x) \) given below grows at a faster rate. \\ \( \qquad \begin{aligned} f(x)=-4 x^{4}-2 x-4 \\ g(x)=2 x^{3}+x^{2}-x\end{aligned} \) \\ Select the correct answer below: \\ f(x) grows at a faster rate. \\ g(x) grows at a faster rate. \\ f(x) and \( g(x) \) grow at the same rate. \\ There is not enough information to determine which function grows at a faster rate. \\ \hline\end{tabular}
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