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## anonymous 3 years ago Help , Calculus!

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1. anonymous

The average (mean) of $\sqrt{x}$ over the interval $0 \le x \le 2$ is..?

2. anonymous

The answer is given again . it is $\frac{ 2 }{ 3 }\sqrt{2}$

3. zepdrix

$\huge f_{ave}=\frac{1}{b-a}\int\limits_a^b f(x) dx$

4. zepdrix

$\huge f_{ave}=\frac{1}{2-0}\int\limits_0^2 x^{1/2}dx$

5. zepdrix

This one seems pretty easy :D I think you can do it.

6. anonymous

hm.. i'll try :)

7. anonymous

i got... $\frac{ 2^{\frac{ 3 }{ 2 }} }{ 3 }$ ... :(

8. zepdrix

Yes good :)

9. zepdrix

Make sure you can convert things from rational expressions to roots+powers, otherwise you'll have a tough time identifying when you have the correct answer.

10. anonymous

ahh that's why i kept on thinking that i did it wrong! haha

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