Question

Find the general potential function:

F= phi= (blank) + c

Answer 1

or... you are integrating this up to the surface equation?

Answer 2

df/dx = cos(z)

f = x + sin(z) +g(y)

like this?

Answer 3

well; cos(z) would up to x cos(z) from df/dx i would think

Answer 4

let me get a screen shot

Answer 5

i dont know what they conservative means; but im pretty sure we are suiting it back up to a surface equation ....

Answer 6

there are ways to test if the F is a gradient of not, but I dont recall them at the moment

Answer 7

df/dx = cos(z) ; x + j(y) +x cos(z) +c

df/dy = 2y ; g(x) +y^2 + h(z) +c

df/dz = -x sin(z) ; g(x) +j(y) +x cos(z) +c

is my best interpretation

Answer 8

looks to be able to derive from:

f(x,y,z) = x + y^2 +x cos(z) +c .... nope, that would have a 1+cos(z) for df/dx wouldnt it :)

Answer 9

ax the g(x) and try it :)

Answer 10

f(x,y,z) = y^2 + x cos(z) +c

Answer 11

awesome ! I check it and it was right thanks a million

Answer 12

you cleared it up :)

Answer 13

yay!! I cant wait till I actually learn this stuff lol