Solve the problem by describing the crescent in polar coordinates and evaluate the double integrals to find the total mass and the x-coordinate of the centre of mass. Solve the problem by describing the crescent in polar coordinates and evaluate the double integrals to find the total mass and the x-coordinate of the centre of mass. : : => 1 2 = 2 => + 1 1 + + 2 4 + = = 1 4 1 2 : + 1 ( , ) = 1. () = = ( , ) = = (1) = 4 = 1 2 3 4 ( ) = ( , ) ( , ) ( , ) = = = = => = = 0 1 0 2 = = 1 = 2 1 0 = 0 3 = => 1 + 2 = = 1 2 0 0 1 + 2 = = = 1 2 + = 1 1 2 +0 2 8 = 8 = 8 = = 8 3 4 4 1 = = 8 3 6 1 => = . 6 . 2 Solve the problem by describing the crescent in polar coordinates and evaluate the double integrals to find the total mass and the x-coordinate of the centre of mass. : : => 1 2 = 2 => + 1 1 + + 2 4 + = = 1 4 1 2 : + 1 ( , ) = 1. () = = ( , ) = = (1) = 4 = 1 2 3 4 ( ) = ( , ) ( , ) ( , ) = = = = => = = 0 1 0 2 = = 1 = 2 1 0 = 0 3 = => 1 + 2 = = 1 2 0 0 1 + 2 = = = 1 2 + = 1 1 2 +0 2 8 = 8 = 8 = = 8 3 4 4 1 = = 8 3 6 1 => = . 6 . 2