HSC Stuff > HSC Mathematics Extension 2
Nagisa Maths Thread
Phy124:
Didn't do spesh so not sure if this is on the course, but how I would have done it using the shell method.
That is
Where in this case is the upper function (translated 1 unit left for the reasons stated in previous posts) minus the lower function over the domain ,, which they have an enclosed area i.e.
edit:
--- Quote from: TrueTears on December 24, 2012, 12:42:40 am ---This volume can be found very easily by the following computation:
Why?
--- End quote ---
Oh yes, you can just multiply the function by (x-1) rather than translating the function left 1, of course :P
TrueTears:
--- Quote from: Clifford on December 24, 2012, 12:46:12 am ---Didn't do spesh so not sure if this is on the course, but how I would have done it using the shell method.
That is
Where in this case is the upper function (translated 1 unit left for the reasons stated in previous posts) minus the lower function over the domain ,, which they have an enclosed area i.e.
--- End quote ---
Correct, using cylindrical shells is what I was referring to, however is there really a need to translate? ;)
Makes the algebra harder, in fact whenever you spin around a different vertical or horizontal line, there is never a need to translate, all you have to do subtract or add the radius/height on.
EDIT: Just saw your edit, yup that's correct Clifford :P
Nagisa:
--- Quote from: TrueTears on December 24, 2012, 12:42:40 am ---This volume can be found very easily by the following computation:
Why?
--- End quote ---
this was my method also but couldnt quite get it to work and i didnt know why lol. I had 4 as the int terminal and radius as (1 - x).
TrueTears:
lol hsc maths is pretty cool ;)
FlorianK:
TT, why do you destroy my working out with a line :(?
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