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Amistre64, can you hep me once you're done here please?
i can try
o.O lol oh lord.
im assuming by cross section you are trying to find the area when the cross sections are semicircles?
for the y=8 would hat be considered another line o.o its just that my teacher gave us a piece of paper and the information listed above is all that is written. So i've been afraid to do anything crazy because it is a project lol
y=8 is a horizontal line thru y=8 yes
do you kow how the semicircles are crosssectioned in there? say flat part up hopefully?
That last part has me a bit thrown off, can you explain?
im trying to determine how the semicircles are orientated in the shaded area
with any luck the flat end is up and the rounded end down to make life simpler
ooh i see.
we can also move the graph and not change the area; lower it down so it begine at 0,0 - in effect we subtract 2 from our heights
y = e^x - 2 y = 6 would be the new way it would look but it would retain the same content
it might be good to know where these lines cross at so that we can set up boundaries to integrate by
e^x - 2 = 6 e^x = 8 x = ln(8) looks about right to me
the radius of each semicircle is then the distance from y=6 to y=e^x-2 or simply: R = 6-(e^x -2) = 6 -e^x +2 = 8 - e^x
got some numbers off in me head; e^x is normal ar y=1 +1 means we are at y=2 drop 2 means we are at e^x -1, not e^x -2 it bites getting old
R = 7 - e^x is our radiuses then
oh my lol. hmm.
:) its easier than it looks, i hope
This is like going over my head, lol I'll try it out, it doesn't look so hard, I guess I just get intimidated by graphs /
the graph is more of a picture to help focus your thought on; gives you something more concrete to play with than an abstract notion of integrations and such
It's just that I have to find someway to make 10 semicircles on my graph. so that has me nervous. lol I think the actually solving the integral is much easier.
But thank you anyway :D your help is always greatly appreciated !
10? ugh yeah, wish i could be more helpful :) good luck with it tho
Thank you very much. and lol yesss -__- cutting 10 little semi circles is not fun :c