#Find Volume of the solid generated rotated at the specified ooint.

56 messages · Page 1 of 1 (latest)

stoic summit
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I am confused on how to set up the problem. At first I was thinking of doing cylinder form, but it has been a while and I don’t remember how to actually set it up. Would disk method work too?

crimson krakenBOT
keen ore
stoic summit
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I think I should. The wording confused me. I know you can use cylinder regardless, and is just a matter of what is easier.

keen ore
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wait

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I forgot the formula for the disk method

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it was pi times the integral of something

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the only help I have is to use the disk method

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ok wait

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@stoic summit did you get your answer

stoic summit
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Yeah, but is not the right one. I got 4103pi/15, and the answer sheet says it is 1088pi/15

keen ore
stoic summit
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No, from 4 to 5.

keen ore
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oh

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I think you have to integrate from -2 to 2

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unless the answer sheet says otherwise

stoic summit
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Yeah, it is different.

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This is the answer, but they didn’t include any process.

keen ore
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oh

stoic summit
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Oh wait, I just realized it has the section of the book. Maybe they took an example from it, going to check it.

keen ore
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ok

stoic summit
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Cannot find.

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At least I know it is washer method because the cylinder method is a different section of the book.

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I don’t think there are any problems to my set up.

keen ore
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hey @stoic summit what is the name of the book you are using

stoic summit
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Is an Ebook

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Calculus Early Transcendentals 9th edition.

keen ore
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alright ty

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yeah I am also completely lost on how to solve this problem

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I wish you the best of luck in deriving the answer

stoic summit
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Thanks lol.

heady talon
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u should account for the y = 5 by subtracting the function from it, since it is shifted

stoic summit
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Ahhhh

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Where exactly do I plug in the 5?

heady talon
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put it in front of the function (5 - 4 - x^2)

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if it were negative youu would just add it

stoic summit
keen ore
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wait nvm

keen ore
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I think that's where you went wrong here

keen ore
stoic summit
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Tried to integrate from 0 to 4, and 0 to 5 but still not the answer from the answer sheet.

keen ore
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cuz (2,0) and (-2,0) are the intersections with the graph of the x axis and 4-x^2

stoic summit
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Still not the answer.

heady talon
stoic summit
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Still no ida how to solve this 💀