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anonymous
 one year ago
Find the volume using cylindrical shells
y = 2ex, y = 2e−x, x = 1; about the yaxis
anonymous
 one year ago
Find the volume using cylindrical shells y = 2ex, y = 2e−x, x = 1; about the yaxis

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.2I like to start with a rough graph first. Is your equations really y=2ex, y=2ex,x=1?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2or did you mean y=2e^x,y=2e^(x),x=1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I meant the second one sorry

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436215459219:dw

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436215629655:dw so this is the part we want to rotate about the yaxis

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436215740336:dw

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2so 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
 one year ago
Best ResponseYou've already chosen the best response.2dw:1436215907363:dw

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2are you cool? do you think you can enter into the formula?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2\[\int\limits_{\text{ lower limit }}^{\text{ upper limit }}2 \pi (Radius)(height) dx\]

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2hint: the height I was trying to show in the picture is just the difference of those two functions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea thank you for the help. So would it have 2 radii

myininaya
 one year ago
Best ResponseYou've already chosen the best response.2radius is x because the distance the curve is from the axis of rotation is x
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