MIT18_024S11_Pset9

MIT18_024S11_Pset9 - U denotes the center of mass of the...

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PSET 9 - DUE APRIL 21 1. 11.9:8 (4 points) 2. 11.15:2 (4 points) 3. 11.15:6 (4 points) 4. 11.15:13 (4 points) 5. 11.18:10 (6 points) 6. Let R, S be bounded subsets of the plane with corresponding density functions f R ,f S respectively. Let T = R S and define f T to be the appropriate density function on each component of T . Let m ( R ) ,m ( S ) denote the respective masses of R, S . Prove ( x R m ( R )+ x S m ( S ) , y R m ( R )+ y S m ( S )) ( x T , y T )= . m ( R )+ m ( S ) Here x
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Unformatted text preview: U denotes the center of mass of the region U . (8 points) 1 MIT OpenCourseWare http://ocw.mit.edu 18.024 Multivariable Calculus with Theory Spring 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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MIT18_024S11_Pset9 - U denotes the center of mass of the...

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