A Thin wire has the shape of the first quadrant part of the circle with the center of the origin and radius a. If the density function , find the mass and center of mass of the wires
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Find an expression for the function whose graph consists of the line segment from the point (-2, 2) to the point (-1, 0) together with the top half of the circle with center the origin and radius 1
Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.
The mass of part of a wire is kilograms, where is measured in meters from one end of the wire. Find the linear density of the wire when
kilograms, where 
is measured in meters from one end of the wire. Find the linear density of the wire when 
