Question

what is the potential function of -yi + xj what is the potential function of -yi + xj @Mathematics

Answer 1

What math class is this for?

Answer 2

calc 3

Answer 3

we need some function whos partil with respect to x is -y and whose partial with respect to y is x

Answer 4

whats the startegy to find such a function

Answer 5

Fun class... LOL umm ok have you done multiple integration or iterated integrals?

Answer 6

yes

Answer 7

but i am pretty sure we do not use iterated integrals to find a vector fields potential

Answer 8

We need a function that satisfies:

\[\frac{\partial f}{\partial x} = -y\]

and

\[\frac{\partial f}{\partial y} = x\]

Answer 9

hmm... i dont remember exactly, I know you have to integrate both the i and j components, then solve for the "constant of integration" and then recombine them to obtain a final answer...

Answer 10

yea.. sounds correct heres an example of one..

Answer 11

i think the potential would be f(x,y) = -yx + x^2