Using the Mean Value Theorem for Integrals In Exercises $47,48,49,50,51,$ and $52,$ find the value$($s$)$ of $c$ guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. $($Can you only answer number $47$ and $49?)$

$47.f(x)=x^3,[0,3]$

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Answer:

$\frac{3\sqrt[3]{2}}{2}$~~$1\mathrm{.}8899$

$f(x)=\sqrt[\phantom{2}]{x},[4,9]$

$y=\frac{x^2}{4},[0,6]$

$$

Answer:

$2\sqrt[\phantom{2}]{3}$~~$3\mathrm{.}4641$