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Unformatted text preview: It is filled with alcohol of density 40 lb/ft 3 . How much work is done in pumping all the alcohol to the level of the top of the tank? 5. Find the surface area of revolution generated by rotating the region bounded by 2 x x y-= , = x , and 1 = x , around the x-axis. 6. Find the length of the smooth arc from x = 0 to x = 2 on the curve ( 29 2 / 3 2 1 3 2 + = x y . 7. Find the volume of the solid generated by rotating around the indicated axis the region bounded by the given curves. a. axis x y y x y x-= = + = ; , 3 2 , b. ; 2 , , 3 = = = x y x y about the line x = 3 c. axis y x x y e y x-= = = =-; 1 , , , 2 d. axis x x x y e y x-= = = = ; 1 , , , e. ; 8 , 2 2 x y x y-= = the line y = -1 f. ; 4 , 2 x y x y = = the line x = 5 8. Find the area of the region bounded between the given curves. a. x y x y 2 , 2 = = b. x y x y-= = 8 , 2 1 2...
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This note was uploaded on 01/13/2012 for the course MATH 2564 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.
- Spring '12