{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

15_4_10 - C 2 z = z 2 C Thus φ = x 2 y xz z 2 C is a...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
10. F = ( axy + z ) i + x 2 j + ( bx + 2 z ) k is conservative if F 1 y = F 2 x a = 2 F 1 z = F 3 x b = 1 F 2 z = F 3 y 0 = 0 . If a = 2 and b = 1, then F = φ where φ = Z ( 2 xy + z ) dx = x 2 y + xz + C 2 ( y , z ) C 1 y + x 2 = F 2 = x 2 C 1 ( y , z ) = C 2 ( z ) dC 2 dz + x = F 3 = x + 2 z
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: C 2 ( z ) = z 2 + C . Thus φ = x 2 y + xz + z 2 + C is a potential for F ....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern