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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis.
(x  3) = (y − 7)\(^2\), x = 19
A: \(y = 7\pm \sqrt{(19)3} = 3 or 11 \), therefore:
\[\huge\int\limits_3^{11} (2 \pi)(y)(3 + (y − 7)^2) dy = \frac{2800 \pi}{3} \]
Graph below:
 one year ago
 one year ago
Is this correct? (+1 medal will be given) Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. (x  3) = (y − 7)\(^2\), x = 19 A: \(y = 7\pm \sqrt{(19)3} = 3 or 11 \), therefore: \[\huge\int\limits_3^{11} (2 \pi)(y)(3 + (y − 7)^2) dy = \frac{2800 \pi}{3} \] Graph below:
 one year ago
 one year ago

This Question is Closed

agentx5Best ResponseYou've already chosen the best response.2
I'm doing something wrong here I believe, because the computer is going NO! *slap*
 one year ago

dpaIncBest ResponseYou've already chosen the best response.2
i don't see anything wrong...
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Hmm, it's not taking the answer though. (online homework thing, and I thought I had this section well understood)
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Integration checks out, is it a setup error?
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Using the disk method is a nonoption here I believe
 one year ago

dpaIncBest ResponseYou've already chosen the best response.2
did you enter the decimal answer instead of the exact answer? it is possible to do this using the disk (washer method) but not recommended... either way, the answer should still be the same..
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
WebAssign (that's the the software provider is) allows for exact answer input (copy & paste disabled logically, but I can put it in as displayed above).
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
I've double checked it and I've x = 3 + (y − 7)^2 and the rest of the instructions I've typed them over word for word. I don't see any errors in my scratch work either
 one year ago

dpaIncBest ResponseYou've already chosen the best response.2
all i can say is that there is nothing with your setup or your integral...
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
This is even one of those where you get to select the graph from multiple choice for points, and that's ok too. So what the heck WebAssign? :D
 one year ago

dpaIncBest ResponseYou've already chosen the best response.2
write to them saying you got the answer correct but the computer won't accept it AND ask for monetary compensation since it's their fault and not yours...:)
 one year ago

EyadBest ResponseYou've already chosen the best response.0
Correct ,give me my medal ... JK,give it to Dpalnc
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Maybe you all are right. I mean integration isn't that hard on this problem, and even Wolf agrees so what the heck? I tried entering it as a decimal and it slapped me down again.
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
There's not some weirdness with a discontinuity of some kind here is there? I'm giving you a cookie for your hard effort @dpalnc :D
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
Sorry I've just been sitting here so long, but don't you need to include the \(x=19\) in the part you're integrating as well?
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
I believe you should instead be integrating \[\huge\int\limits_3^{11} (2 \pi)(y)(19(3 + (y − 7)^2)) dy \]
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Hmm, let me try that and see... :)
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
YOU DID IT! :D Way to go @KingGeorge !!! (darn I gave out the medal earlier, I'd have given you 5 right now if I could) Hmm, now let me see if I understand why... Area between curves? y=19 is the upper layer?
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
Kind of odd how it's all turned sideways because of the switch between what is normally independent and dependent
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
A(y) \(\rightarrow\) Right  Left?
 one year ago

agentx5Best ResponseYou've already chosen the best response.2
@dpaInc @Eyad , he got it, FYI :D
 one year ago

KingGeorgeBest ResponseYou've already chosen the best response.0
It should be the right minus the left in your integrand for the shell method.
 one year ago
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