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Section 12.5

# Section 12.5 - 25.1327 25.1 C 2[SCalcCC2 12.5.08 4/4 points...

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12/9/08 7:45 PM Section 12.5 Page 1 of 1 http://www.webassign.net/[email protected]/[email protected] Section 12.5 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 11 out of 11 Due: Friday, October 24, 2008 10:03 PM EDT Description Applications of Double Integrals The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 12.5.02.] 3/3 points Electric charge is distributed over the disk x 2 + y 2 4 so that the charge density at ( x , y ) is σ ( x , y ) = x + y + x 2 + y 2 (measured in coulombs per square meter). Find the total charge on the disk.
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Unformatted text preview: 25.1327 25.1 C 2. [SCalcCC2 12.5.08.] 4/4 points Find the mass and center of mass of the lamina that occupies the region D and has the given density function ρ . D = {( x , y ) | 0 y cos x , 0 x π /2}; ρ ( x , y ) = x Mass .570796 0.571 Center of mass ( .81886 0.819 , .321 0.321 ) 3. [SCalcCC2 12.5.12.] 4/4 points A lamina occupies the region inside the circle x 2 + y 2 = 2 y but outside the circle x 2 + y 2 = 1. Find the center of mass if the density at any point is inversely proportional to its distance from the origin. ( , 1.26 1.26 )...
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