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mattt9
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let f be the outward flux of the vector field F = (c_1x,c_2y,c_3z) over the torus: x=cosu(1.86+0.9cosv); y=sinu(1.86+0.9cosv); z=0.9sinv;
for 0<=u<=2pi; 0<=v<=2pi, where c_1, c_2, c_3 are positive constraints. then the value of cot(f/(c_1+c_2+c_3))
 2 years ago
 2 years ago
mattt9 Group Title
let f be the outward flux of the vector field F = (c_1x,c_2y,c_3z) over the torus: x=cosu(1.86+0.9cosv); y=sinu(1.86+0.9cosv); z=0.9sinv; for 0<=u<=2pi; 0<=v<=2pi, where c_1, c_2, c_3 are positive constraints. then the value of cot(f/(c_1+c_2+c_3))
 2 years ago
 2 years ago

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helloimjared Group TitleBest ResponseYou've already chosen the best response.0
Are you building a time machine?
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
hahahha i wish.
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
I would travel 3 months forward in time so i can be done calculus IV
 2 years ago

helloimjared Group TitleBest ResponseYou've already chosen the best response.0
hahaha
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
what is the question? find the value?
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
it will be decimal
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
have you set up the triple integral?
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
no its a ridiculous amount of work. and it should only be double? im not changing the coordinates. when you reparametrize it you get r(u,v) =x(u,v)i +y(u,v)j +z(u,v)k where x(u,v), etc. are those functions for x y and z above
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
then the integral should be F(dot)r_u X r_v/r_u X r_v
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
where thats the vector cross product operator and r_u and r_v are the partial derivatives of r with respect to u and v
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
and the bounds can be the same i.e. 0>2pi for both u and v
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
or was it suppose to be F
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
no f is the flux .. f is the result of the integral you solve
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
F is the vector field that you put inside the integral to solve the flux
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
essentially since they don't give you values for the constants, they should somehow cancel out in the end
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
sorry, i'm making it more work for you. but no one's answering anyways right?
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
so you got f?
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
no, I wish.. aha
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
its those cross products that literally take up 2 pages of work
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
because they are all long trigonmetric quantities very prone to mistakes
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
o yikes i can't commit to that now. i wish, it would be good practice
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
i figured out r_u X r_v.. but its taking the absolute value that im just too scared to try. because you have to square each i j k term and put them under a root sign
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
yeah I understand aha, this was really a shot in the dark trying to get help on here. I can't imagine anyone wanting to attempt this question. It's the last one I have left on my assignment. Our calculus professor is straight up unfair, literally 1030 hours of calc a week
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
thanks for reading by the way though, your efforts are appreciated
 2 years ago

elica85 Group TitleBest ResponseYou've already chosen the best response.1
i was more interested in someone else answering, i only went to calc III. good luck, there are a lot of helpful people on here. i would post again so they see it
 2 years ago

mattt9 Group TitleBest ResponseYou've already chosen the best response.1
Okay thank you :)
 2 years ago

jeff1949 Group TitleBest ResponseYou've already chosen the best response.0
How can i contact mattt9 to discuss a maths problem?
 2 years ago
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