anonymous
  • anonymous
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 xy-plane.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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)
anonymous
  • anonymous
is it z-simple?
anonymous
  • anonymous
hw?

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experimentX
  • experimentX
could you start by drawing picture?
anonymous
  • anonymous
thats e part i confused abt. the region ...
anonymous
  • anonymous
any help
experimentX
  • experimentX
|dw:1353429220967:dw| draw your cylinder first
experimentX
  • experimentX
draw your planes |dw:1353429469502:dw|
experimentX
  • experimentX
|dw:1353429578503:dw| this is your last plane ... show how is the region gonna look like?
anonymous
  • anonymous
ok. hw to find the limits?
experimentX
  • experimentX
lol ... first of all picture your region ... then you will find the limits.
experimentX
  • experimentX
|dw:1353430085406:dw|
anonymous
  • anonymous
ok. then... i m nt strong in this chpt.
experimentX
  • experimentX
first you need to visualize ... then approach the problem. |dw:1353430430927:dw|
anonymous
  • anonymous
ok
experimentX
  • experimentX
|dw:1353430738439:dw|
experimentX
  • experimentX
|dw:1353430950975:dw|
anonymous
  • anonymous
ok so far i unerstand. thanks . i need ur continual assistance; steps to e solution. i need to sign out. cya.
experimentX
  • experimentX
|dw:1353431171488:dw|
experimentX
  • experimentX
|dw:1353431242707:dw||dw:1353431281194:dw|
anonymous
  • anonymous
if possible only could write the steps of the integration and the final ans.
experimentX
  • experimentX
do you have final answer?
experimentX
  • experimentX
from wolf i got around 64.8 http://www.wolframalpha.com/input/?i=Integration[Integration[Integration[xz%2B3z%2C+{y%2C+0%2C+3-x}]%2C+{z%2C+0%2C+sqrt%289+-+x^2%29}]%2C+{x%2C+0%2C+3}]

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