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meggiesmermaid
Group Title
Evaluate the line integral
zdx+xdy+xydz
where is the path of the helix r(t)=(2cost)i+(2sint)j+(1t)k on 0 less than t less than 2
 2 years ago
 2 years ago
meggiesmermaid Group Title
Evaluate the line integral zdx+xdy+xydz where is the path of the helix r(t)=(2cost)i+(2sint)j+(1t)k on 0 less than t less than 2
 2 years ago
 2 years ago

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myko Group TitleBest ResponseYou've already chosen the best response.1
make variable change to cyulindrical coordinates first with r=2
 2 years ago

myko Group TitleBest ResponseYou've already chosen the best response.1
x=2cost y=2sint z=z so: dx=2sint*dt dy=2cost*dt dz=dz
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
i got to \[\int\limits_{0}^{2\pi} 2 tsintdt +4\cos^2tdt + 4costsintdt\] but i cant figure put how to integrate
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
t is bound above by 2 or 2pi?
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
first term: integrate by parts second term: double angle formula \(\cos^2t=\frac12(1+\cos(2t))\) third term: u=sin(t)
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
\[0\le t \le 2\pi\]
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
that makes more sense obviously so did you try it yet?
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
no the homework is not due till tonight so im studying for my test and will try it after!
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
good luck!
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
i got 3 pi but it was incorrect.
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
\[\int_0^{2\pi}2t\sin t+4\cos^2t+4\sin t\cos tdt\]\[2t\cos t2\sin t+2t+\sin(2t)+2\sin t_0^{2\pi}\]is that what you got?
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
no my signs were messed up.
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
let me check with wolfram...
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
thats correct! i finished it!
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
i had too many subtraction signs.
 2 years ago

TuringTest Group TitleBest ResponseYou've already chosen the best response.1
cool :) yeah, the algebra can be the worst in calc 3
 2 years ago

meggiesmermaid Group TitleBest ResponseYou've already chosen the best response.0
hahhaa. yeah. thanks so much. :)
 2 years ago
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