anonymous
  • anonymous
Find the volume using cylindrical shells y = 2ex, y = 2e−x, x = 1; about the y-axis
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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myininaya
  • myininaya
I like to start with a rough graph first. Is your equations really y=2ex, y=2e-x,x=1?
myininaya
  • myininaya
or did you mean y=2e^x,y=2e^(-x),x=1
anonymous
  • anonymous
I meant the second one sorry

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myininaya
  • myininaya
|dw:1436215459219:dw|
myininaya
  • myininaya
|dw:1436215629655:dw| so this is the part we want to rotate about the y-axis
myininaya
  • myininaya
|dw:1436215740336:dw|
anonymous
  • anonymous
ok
myininaya
  • myininaya
so since everything is in terms of x you know the y=2e^x and the y=2e^(-x) we are looking at parallel strips to the axis of rotation (like we are already set it up we just have to plug into our formula ) |dw:1436215827622:dw|
myininaya
  • myininaya
|dw:1436215907363:dw|
myininaya
  • myininaya
are you cool? do you think you can enter into the formula?
myininaya
  • myininaya
\[\int\limits_{\text{ lower limit }}^{\text{ upper limit }}2 \pi (Radius)(height) dx\]
myininaya
  • myininaya
hint: the height I was trying to show in the picture is just the difference of those two functions
anonymous
  • anonymous
yea thank you for the help. So would it have 2 radii
myininaya
  • myininaya
radius is x because the distance the curve is from the axis of rotation is x

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