Question

Find the potential function

Answer 1

my final answer was: \[\phi =xy^2+ye^z\]

Answer 2

can anyone confirm if that was right?

Answer 3

\begin{array}l\color{red}{\normalsize\text{I}}\color{orange}{\normalsize\text{ }}\color{#9c9a2e}{\normalsize\text{h}}\color{green}{\normalsize\text{a}}\color{blue}{\normalsize\text{v}}\color{purple}{\normalsize\text{e}}\color{purple}{\normalsize\text{n}}\color{red}{\normalsize\text{t}}\color{orange}{\normalsize\text{ }}\color{#9c9a2e}{\normalsize\text{r}}\color{green}{\normalsize\text{e}}\color{blue}{\normalsize\text{a}}\color{purple}{\normalsize\text{d}}\color{purple}{\normalsize\text{ }}\color{red}{\normalsize\text{u}}\color{orange}{\normalsize\text{p}}\color{#9c9a2e}{\normalsize\text{ }}\color{green}{\normalsize\text{o}}\color{blue}{\normalsize\text{n}}\color{purple}{\normalsize\text{ }}\color{purple}{\normalsize\text{w}}\color{red}{\normalsize\text{h}}\color{orange}{\normalsize\text{a}}\color{#9c9a2e}{\normalsize\text{t}}\color{green}{\normalsize\text{ }}\color{blue}{\normalsize\text{i}}\color{purple}{\normalsize\text{t}}\color{purple}{\normalsize\text{ }}\color{red}{\normalsize\text{m}}\color{orange}{\normalsize\text{e}}\color{#9c9a2e}{\normalsize\text{a}}\color{green}{\normalsize\text{n}}\color{blue}{\normalsize\text{s}}\color{purple}{\normalsize\text{ }}\color{purple}{\normalsize\text{t}}\color{red}{\normalsize\text{o}}\color{orange}{\normalsize\text{ }}\color{#9c9a2e}{\normalsize\text{b}}\color{green}{\normalsize\text{e}}\color{blue}{\normalsize\text{ }}\color{purple}{\normalsize\text{c}}\color{purple}{\normalsize\text{o}}\color{red}{\normalsize\text{n}}\color{orange}{\normalsize\text{s}}\color{#9c9a2e}{\normalsize\text{e}}\color{green}{\normalsize\text{r}}\color{blue}{\normalsize\text{v}}\color{purple}{\normalsize\text{a}}\color{purple}{\normalsize\text{t}}\color{red}{\normalsize\text{i}}\color{orange}{\normalsize\text{v}}\color{#9c9a2e}{\normalsize\text{e}}\color{green}{\normalsize\text{ }}\color{blue}{\normalsize\text{a}}\color{purple}{\normalsize\text{n}}\color{purple}{\normalsize\text{d}}\color{red}{\normalsize\text{ }}\color{orange}{\normalsize\text{s}}\color{#9c9a2e}{\normalsize\text{u}}\color{green}{\normalsize\text{c}}\color{blue}{\normalsize\text{h}}\color{purple}{\normalsize\text{ }}\color{purple}{\normalsize\text{:}}\color{red}{\normalsize\text{/}}\color{orange}{\normalsize\text{}}\end{array}

Answer 4

haha, nice font :)

Answer 5

It's alright I hope someone out there might know a little more on conservation

Answer 6

To show that it is conservative you need only to show curl(F)=0

Answer 7

I.e.,
\[\nabla \times F=<0,0,0>\]

Answer 8

thanks malevolence. i had this : (e^z−e^z )i−(0−0)j+(2y−2y)k=<0,0,0>