For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, V f = F) with f(0,0) = 0. If it is not conservative, type N. A. F(x, y) = (2x + 5y)i + (5x + 4y) j f (x, y) = B. F(x, y) = yi + 2xj f (x, y) = N C. F(x, y) = (sin y)i + (10y + x cos y) j f (x, y) = Note: Your answers should be either expressions of x and y (e.g. "3xy + 2y"), or the letter "N"

For each of the following vector fields F, decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, V f = F) with f(0,0) = 0. If it is not conservative, type N. A. F(x, y) = (2x + 5y)i + (5x + 4y) j f (x, y) = B. F(x, y) = yi + 2xj f (x, y) = N C. F(x, y) = (sin y)i + (10y + x cos y) j f (x, y) = Note: Your answers should be either expressions of x and y (e.g. "3xy + 2y"), or the letter "N"