Mathematics, 25.02.2020 02:30 fxllsxn
Sketch the region bounded by the curves, and visually estimate the location of the centroid. (Do this on paper. Your instructor may ask you to turn in this work.) Then find the exact coordinates of the y=ex y-0,x-0,x-2
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 are given.
![\bar y=\frac{1}{A} \int\limits^b_a \frac{1}{2} [f(x)]^2\:dx=\frac{1}{e^2-1}\frac{1}{2} \int\limits^2_0 e^{2x}\:dx =\frac{1}{2(e^2-1)}(\frac{e^{2x}}{2} )|^2_0=\frac{e^4-1}{4(e^2-1)}=\frac{e^2+1}{4}](/tpl/images/0522/5092/c01e5.png)
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Sketch the region bounded by the curves, and visually estimate the location of the centroid. (Do thi...
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