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Find the Mass of the Lamina Described by the Inequalities 0x4 and 0y80 \leq x \leq 4 \text { and } 0 \leq y \leq 8 \text {, }

Question 43

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Find the mass of the lamina described by the inequalities 0x4 and 0y80 \leq x \leq 4 \text { and } 0 \leq y \leq 8 \text {, } given that its density is ρ(x,y) =2xy\rho ( x , y ) = 2 x y . (Hint: Some of the integrals are simpler in polar coordinates.)


A) 768
B) 128
C) 512
D) 256
E) 392

Correct Answer:

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