hwsol_22

# hwsol_22 - Homework Assignment 22(13.5 Solutions Page 1062...

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Homework Assignment 22 - (13.5) - Solutions Page 1062: 8* without using a calculator, 11*, 13*, 15*, 20* - sketch solids also, 34*, 42*, 46* 8. !!! Q f ! x , y , z " dV , f ! x , y , z " ! 2 xy " 3 xz 2 , Q :0 # x # 2, " 1 # y # 1, 0 # z # 2 !!! Q f ! x , y , z " dV ! ! 0 2 ! " 1 1 ! 0 2 ! 2 xy " 3 xz 2 " dzdydx ! ! 0 2 ! " 1 1 ! 2 xyz " xz 3 " 0 2 dydx ! ! 0 2 ! " 1 1 ! 4 xy " 8 x " dydx ! 2 ! 0 2 ! 0 1 ! " 8 x " dydx ! 2 ! 0 2 ! " 8 xy " 0 1 dx ! " 16 ! 0 2 xdx ! " 8 x 2 | 0 2 ! " 32 11. f ! x , y , z " ! 3 y 2 " 2 z , Q :3 x " 2 y " z ! 6, x ! 0, y ! 0, z ! 0, tetrahedron Q :3 x " 2 y " 6 # z # 0, 0 # x # 2, 0 # y # 1 2 ! 6 " 3 x " ! 3 " 3 2 x !!! Q f ! x , y , z " dV ! ! 0 2 ! 0 3 " 3/2 x ! 3 x " 2 y " 6 0 ! 3 y 2 " 2 z " dzdydx ! 171 5 ! 34. 2 13. f ! x , y , z " ! 2 xy , Q bounded by z ! 1 " x 2 " y 2 , z ! 0 0 0.5 -1 -0.5 0.5 1 u -1 -0.5 0.5 1 v Q :0 # z # 1 " x 2 " y 2 , R : x 2 " y 2 # 1 !!! Q f ! x , y , z " dV ! ! 0 2

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hwsol_22 - Homework Assignment 22(13.5 Solutions Page 1062...

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