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19 - COM3

# 19 - COM3 - x-axis(Parallel to the y-axis Do 1 Set up...

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Center of Mass Review M y = ! x ( f ( x ) " g ( x )) dx a b # or 1 2 ! g ( y ) 2 " f ( y ) 2 ( ) dy c d # M x = 1 2 ! f ( x ) 2 " g ( x ) 2 ( ) dx a b # or ! y ( g ( y ) " f ( y )) dy c d # mass = ! ( f ( x ) " g ( x )) dx a b # or ! ( g ( y ) " f ( y )) dy c d # x = M y mass y = M x mass

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Ex. Let R be the lamina with density 1 3 in the region in the xy plane bounded by y = 3 x , x = 3, and the x ! axis . 1. Set up integrals for M x and M y using slices perpendicular to the y-axis. (Parallel to the x-axis) 1. Set up integrals for M x and M y
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Unformatted text preview: x-axis. (Parallel to the y-axis) Do: 1. Set up integrals to find M x and M y using slices parallel to the x-axis for the region with density 4 bounded by x ! 0, y ! 0, x 2 + y 2 = 4 2. Repeat using slices parallel to the y-axis....
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19 - COM3 - x-axis(Parallel to the y-axis Do 1 Set up...

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