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Determine whether the following vector field is conservative on R? If so determine the potential function:F= (x,6y)Select the correct choice below and, if necessary...

Question

Determine whether the following vector field is conservative on R? If so determine the potential function:F= (x,6y)Select the correct choice below and, if necessary; fill in the answer box t0 complete your choice:0 A. Fis conservative on R?_ The potential function is M(x,y) = (Use C as the arbitrary constant ) 0 B. is not consenvative on R2

Determine whether the following vector field is conservative on R? If so determine the potential function: F= (x,6y) Select the correct choice below and, if necessary; fill in the answer box t0 complete your choice: 0 A. Fis conservative on R?_ The potential function is M(x,y) = (Use C as the arbitrary constant ) 0 B. is not consenvative on R2



Answers

Determine whether $\mathbf{F}$ is a conservative vector field. If so, find a potential function for it. $$ \mathbf{F}(x, y)=x \mathbf{i}+y \mathbf{j} $$

We have tibia. Victor P. Houma White. Well, compute the potential ponza if they're spectacularly congratulating reginal potential cancer. Just in between the better bill and put until constantly the trouble is equal. It's small. Gave me their potential sponsor. Got partially Liberty book Every with respect to X and the partially with people with his cool now a day It's more that he did or didn't kill him. So will you come to the potential sponsor it supported? Chip Johnson is, well, this respectable give that gives the port until panzer there. Which means this big purple bees can tell the tale. Now compare the in the place of who any? Be a big beers throwing an idea be about the political now conveying vagueness boasts a so we can depend the potential concert it's like Is it gonna do who include beer And, you know, in Vegas about BFC It's so we're gonna exercise again. Well, it bless. They're the integral constant e g. Or why? Because if our consulate in the Council of text and why you know what why is courting and X is a variable so you can take the wonton cancer. Geo, why you know this is a gruesome one. Not then that the partial derivative with respect. Why here? Then you get beer by the logical They Betty about who it is, do because we're taking a derivative with respect to y. So here is giving why Geo Desi's U S. Off What then will be a by do it from here? No compare be a by the way, in the place up. Why be Abedi way? So we can that be every way? Is it going to white? So plug in a at the mid walk beer by the radical Why so the bell walk g does or why they come from white? No. Do you know why is it why I didn't know Integrys and boasts a with respectful while Then they really get your Why the big yourself? Why dealing? So then tickets? Enough? Why do by using the power block in vigorous and why it's bye bye to less see expedient in picking up no blood in the value of y job white in Lakers and one. Then you get here. It's what? It's why it's a colorful Who it less wise way back to. Let's see now this is the potential sponsor is here, which means given neck, not Bill is conservative. Thank you

Problem Number three Let X Y is equal to F off X y all right, plus G off X Y j So X squared. Why? I plus five x y the square j So this is for Max and this is jail backs so personally f fortunate one is equal to x square. Unfortunately, J partial X is equal toe fight voice square and they are not. They are not equal, so if it is not considered

Problem. Number four ah f off X Y and Z is equal toe A or x Co sign Wine G of X, y and Z is equal to negative a projects saying one edge off X Y and Z is equal to zero, so support that partial F or partial y could be equal to fortunately, partial X s a partial left portion. Why is equal to negative April Rex Sign wine. Unfortunately, a partial X is equal to negative for X so and why? And as both components are equally so, yeah, it is concern.


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