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Unformatted text preview: x 2 + z 2 = 4 and the planes y = 0 and y = z + 2 12.6 12.6 5. [SCalcCC2 12.7.32.] 2/2 points Find five other iterated integrals that are equal to the given iterated integral. (Select the five that apply.) 12/9/08 7:45 PM Section 12.7 Page 3 of 3 http:[email protected][email protected] 6. [SCalcCC2 12.7.36.] 4/4 points Find the mass and center of mass of the given solid E with the given density function ρ . E is the tetrahedron bounded by the planes x = 0, y = 0, z = 0, x + y + z = 1; ρ ( x , y , z ) = y Mass .0417 0.0417 Center of mass ( .2 0.2 , .4 0.4 , .2 0.2 ) 7. [SCalcCC2 12.7.44.] 3/3 points Suppose X , Y , and Z are random variables with joint density function f ( x , y , z ) = Ce(0.5 x +0.2 y +0.1 z ) if x 0, y 0, z 0, and f ( x , y , z ) = 0 otherwise. (a) Find the value of the constant C . .01 0.01 (b) Find P ( X 1, Y 1). .0703 0.0713 (c) Find P ( X 1, Y 1, Z 1). .0067 0.00679...
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This note was uploaded on 11/15/2010 for the course MA 242 taught by Professor Bliss during the Spring '08 term at N.C. State.
 Spring '08
 Bliss
 Integrals

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