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The region R is bounded by the curves y=2x, y= 7-x^2 and the y-axis, and its mass density id d(x,y) =xy. To find the center of gravity of the region you would compute

integral integral R d(x,y) dA = integral ( c to d) integral ( p(x) to q(x) ) d(x,y)dydx, integral (c to d) integral (p(x) to q(x) x d(x,y) dydx, and integral ( c to d) integral ( p(x) to q(x) ) y d(x,y) dydx where,

c= ….

d= ….

p(x) = ….

q(x) = ……

integral (c to d) integral (p(x) to q(x) ) dydx = ….

integral ( c to d) integral ( p(x) to q(x) ) x dydx = ……

integral ( c to d) integral ( p(x) to q(x) ) y dydx = ….

and finally the center of gravity is

x( bar) = …

y( bar) = ….

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