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For the following exercises, compute the center of mass $\overline{x} .$$$\rho=1 \text { for } x \in(0,1) \text { and } \rho=2 \text { for } x \in(1,2)$$

$\overline{x}=\frac{7}{6}$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

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Okay, so we have the one. Is he quits? One for ex contained in Daryl T one. And we have pizza that's equal to two or extending from 1 to 2. Okay, so this is a special face, huh? Rester case when thes two intervals are uniform. If he wanted me to respectability, then we have The X bar is equal to people in which is one times a one plus B one, which is girl plus one, right or interval over too. Saying for pizzas. That's two time one plus two over chip all over. He wanted to one times be one which is one minute, so plus two times too much one day and it simplifies to seven over six.

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