Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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
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

This Question is Closed

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

mattt9Best 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

elica85Best ResponseYou've already chosen the best response.1
what is the question? find the value?
 2 years ago

elica85Best ResponseYou've already chosen the best response.1
have you set up the triple integral?
 2 years ago

mattt9Best 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

mattt9Best 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

mattt9Best 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

mattt9Best 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

elica85Best ResponseYou've already chosen the best response.1
or was it suppose to be F
 2 years ago

mattt9Best 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

mattt9Best 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

mattt9Best 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

elica85Best 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

mattt9Best ResponseYou've already chosen the best response.1
its those cross products that literally take up 2 pages of work
 2 years ago

mattt9Best ResponseYou've already chosen the best response.1
because they are all long trigonmetric quantities very prone to mistakes
 2 years ago

elica85Best 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

mattt9Best 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

mattt9Best 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

mattt9Best ResponseYou've already chosen the best response.1
thanks for reading by the way though, your efforts are appreciated
 2 years ago

elica85Best 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

jeff1949Best ResponseYou've already chosen the best response.0
How can i contact mattt9 to discuss a maths problem?
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.