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anonymous
 one year ago
Find the volume of x = y − y2, x = 0, rotated around the yaxis.
So I first found the zeroes, which were 1 and 0. Then I squared the function and got y^(2)+y^(4)y^(6)
Then I took the integral and plugged in the 1's and 0's until I got [(1/3)+(1/5)(1/7)][0].
So as my final answer, I received pi(41/105).
I don't know where I went wrong.
anonymous
 one year ago
Find the volume of x = y − y2, x = 0, rotated around the yaxis. So I first found the zeroes, which were 1 and 0. Then I squared the function and got y^(2)+y^(4)y^(6) Then I took the integral and plugged in the 1's and 0's until I got [(1/3)+(1/5)(1/7)][0]. So as my final answer, I received pi(41/105). I don't know where I went wrong.

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6again, what do you get for \((yy^2)^2\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0y^(2)+y^(4)y^(6) (yy^2)(yy^2)=(yy^2)^2

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6doesn't look correct, try again

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6you may want to use the formula \[(ab)^2=a^22ab+b^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks, it's the simple stuff that stumps me

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6wolfram is good for double checking these https://www.wolframalpha.com/input/?i=%5Cint_0%5E1+pi*%28yy%5E2%29%5E2+dy
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