10. Vector Fields and Line Integrals
Potential Functions — Quiz
Test your understanding of potential functions with 5 practice questions.
Practice Questions
Question 1
What is a potential function for a vector field?
Question 2
If $f(x,y)=x^2y+3y$, what is $\nabla f$?
Question 3
Which function is a potential function for $\mathbf{F}=\langle 2xy,\ x^2+4y^3\rangle$?
Question 4
Which of the following is a potential function for the vector field $\mathbf{F}=\langle 0,5\rangle$?
Question 5
If a vector field has a potential function, what is true about the line integral of the field between two points?