Question

does Somebody knowledgeable in advanced calculus have an hour of time to help? if so:

Answer 1

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))

Answer 2

the only way i know how to do it, is extremely tedious. any suggestions?