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Evaluate the integral ∭(xz+3z)dV,where E is the region bounded by the cylinder x^2 +z^2 = 9 and the planes x+y=3,z=0 and y=0 above the xyplane.
 one year ago
 one year ago
Evaluate the integral ∭(xz+3z)dV,where E is the region bounded by the cylinder x^2 +z^2 = 9 and the planes x+y=3,z=0 and y=0 above the xyplane.
 one year ago
 one year ago

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snaef999Best ResponseYou've already chosen the best response.0
Im just donig these myself so I dont know how much help I can be, but the tricky part is setting up the limits in the correct order. I think the first limit is x + y = 3 so it would be 3 to 3 for the first one (I think)
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
could you start by drawing picture?
 one year ago

mathstinaBest ResponseYou've already chosen the best response.0
thats e part i confused abt. the region ...
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353429220967:dw draw your cylinder first
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
draw your planes dw:1353429469502:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353429578503:dw this is your last plane ... show how is the region gonna look like?
 one year ago

mathstinaBest ResponseYou've already chosen the best response.0
ok. hw to find the limits?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
lol ... first of all picture your region ... then you will find the limits.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353430085406:dw
 one year ago

mathstinaBest ResponseYou've already chosen the best response.0
ok. then... i m nt strong in this chpt.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
first you need to visualize ... then approach the problem. dw:1353430430927:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353430738439:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353430950975:dw
 one year ago

mathstinaBest ResponseYou've already chosen the best response.0
ok so far i unerstand. thanks . i need ur continual assistance; steps to e solution. i need to sign out. cya.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353431171488:dw
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
dw:1353431242707:dwdw:1353431281194:dw
 one year ago

mathstinaBest ResponseYou've already chosen the best response.0
if possible only could write the steps of the integration and the final ans.
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
do you have final answer?
 one year ago

experimentXBest ResponseYou've already chosen the best response.1
from wolf i got around 64.8 http://www.wolframalpha.com/input/?i=Integration[Integration[Integration[xz%2B3z%2C+{y%2C+0%2C+3x}]%2C+{z%2C+0%2C+sqrt%289++x^2%29}]%2C+{x%2C+0%2C+3}]
 one year ago
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