Question

In: Advanced Math

For each of the following vector fields F, decide whether it is conservative or not by...

For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential function f (that is, ∇f=F). Assume the potential function has a value of zero at the origin. If the vector field is not conservative, type N.

A. F(x,y)=(−14x−6y)i+(−6x+6y)j

f(x,y)=

C. F(x,y,z)=−7xi−6yj+k

f(x,y,z)=

D. F(x,y)=(−7siny)i+(−12y−7xcosy)j

f(x,y)=

E. F(x,y,z)=−7x^2i−6y^2j+3z^2k

f(x,y,z)=

Solutions

Expert Solution

by using definition of conservatives function i was solved this

Colby Messinger answered 2 years ago
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