Suppose that R={(x,y):0≤x≤6,0≤y≤5}, R 1
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={(x,y):0≤x≤6,0≤y≤4}, and R 2
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={(x,y):0≤x≤6,4≤y≤5}. Suppose, in addition, that ∬ R
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f(x,y)dA=8,∬ R
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g(x,y)dA=7, and ∬ R 1
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g(x,y)dA=5. Use the properties of integrals to evaluate ∬ 2
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g(x,y)dA. A) 2 B) 12 C) 3: Find the mass of a solid right circular cylinder of radius 6 and height 7 if its density at any point is proportional to the square of the distance from that point to the lateral edge of the cylinder. A) 4536πk B) 1000πk C) 504πk D) 1 isink Find the radius of gyration about the x-axis of a lamina in the first quadrant bounded by the coordinate axes and the curve y=e −8x
if δ(x,y)=xy. A) 2
5
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B) − 4
2
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C) x= 4
5
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D) − 4
3
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