Find the total mass of a 3-m rod whose linear density...

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Page 46 40. Find the total mass of a 3-m rod whose linear density function in kilograms per meter is 1 2 cos( ) y x x for 1 4 x 2 . 41. Find the volume generated by revolving a right triangle with angle 30 and hypotenuse 2 about a line perpendicular to the hypotenuse passing through the vertex of the 30 angle, as shown in the figure. 42. Find the volume of the solid obtained by rotating the region , :0 1, x y x x y x about the line 2 x .
Page 47 43. Find the volume of the solid obtained by revolving the region , :0 1, 1 1 x y x y x about the line 1 y . 44. The volume of the solid obtained by rotating the ellipse

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