MATH 3338 Lecture 8: Conditional Probability

Using fundamental theory of line integral!

2. Determine whether the vector field, F, is conservative or not. If it is, find a potential function, f, so that F = ∇f.

(a) F(x, y) = (y + 4x^3 + y^6 )i + (−x + 6x^4 y^5 )j

(b) F(x, y) = (3x^2 y^3 + y^4 )i + (3x^3 y^2 + y^4 + 4xy^3 )j