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13 Nov 2019
8) Find the total mass of the lamina occupying the triangular region D with vertices at (0,1) (2,2), and (2,0) if the mass density at any point on the lamina is p(x,y) = xy,2 .
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Elin Hessel
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Exercise 3. Let D be the triangular region with vertices (0,0), (2,0), and (0,2). (a) Sketch and shade the region D. Co2) C2,0) (b) Find the mass of the lamina that occupies the region D if its density is given by p(z,y) = z + y.
The density of a lamina in the plane is Ï(x,y)-1 +x grams, where the triangular plate has vertices (0,0), (0.4), (2.2) Find the mass o the lamina. cm
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Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the triangular region with vertices (0, 0), (2, 1), (0, 3); rho(x, y) = 2(x + y) m = (x-, y-) = ( )
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