Question

If ρ(x,y) is the density of a wire (mass per unit length), then m=∫Cρ(x,y)ds is the...

If ρ(x,y) is the density of a wire (mass per unit length), then

m=∫Cρ(x,y)ds

is the mass of the wire. Find the mass of a wire having the shape of a semicircle x=1+cos(t),y=sin(t), where t is on the closed interval from 0 to π, if the density at a point P is directly proportional to the distance from the y−axis and the constant of proportionality is 3. Round in the tenths place.

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