Section 12.7

# Section 12.7 - x 2 z 2 = 4 and the planes y = 0 and y = z 2...

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12/9/08 7:45 PM Section 12.7 Page 1 of 3 http:[email protected][email protected] Section 12.7 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 19 out of 19 Due: Friday, October 31, 2008 10:04 PM EDT Description Triple Integrals The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 12.7.04.] 3/3 points Evaluate the iterated integral. .625 0.625 2. [SCalcCC2 12.7.08.] 3/3 points Evaluate the triple integral where E = {( x , y , z ) | 0 x 1, 0 y x , x z 2 x }. .126 0.126 3. [SCalcCC2 12.7.10.] 1/1 points Evaluate the triple integral where E is the solid tetrahedron with vertices (0, 0, 0), (0, 1, 0), (1, 1, 0), and (0, 1, 1).

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12/9/08 7:45 PM Section 12.7 Page 2 of 3 http:[email protected][email protected] .0083 0.00833 4. [SCalcCC2 12.7.16.] 3/3 points Use a triple integral to find the volume of the given solid. The solid bounded by the elliptic cylinder 4
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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.

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Section 12.7 - x 2 z 2 = 4 and the planes y = 0 and y = z 2...

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