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For the following exercises, compute the center of mass $\overline{x} .$$$\rho=\sqrt{x} \text { for } x \in(1,4)$$

$\overline{x}=\frac{93}{35}$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

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Okay, so X bar is just in a row from 1 to 4 of X times piece. That's X three over to the X over in a girl from 1 to 4 of this team, which is extra one over to the ex. What do we get from here? Well, that simplifies order in a road with comes to over five extra five over, too. About later at four and one over to over three extra three or two evaluated at four At one we get, This is equal to see We have been three over five times for five older, too, but it's once a drive over to all over 14 3 over two minus one times three. Open to excuse me three times 31 over 5 a.m. Seven. This becomes 93 over 35.

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