Consider the vector fieldF~ (x, y, z) = (axyz + 2, xz + bz, x y + y),with a and b constant, and the curveC = {(x,y,z) R: z =4 x y, x + y = 2}.Find the values of a and b that make this a conservative field and indicate the potential. Then,calculate. (full)c F~* dr~Note that the ends of the curve are on the z = 0 plane.

com a e b constantes, e a curva C = {(x, y, =) ( R3 : = = \\/4- x2 - y',x+ y = 2). Encontre os valores de a e b que tornam deste um campo conservative e indique o potencial. Em seguida, calcule F . di. Note que os extremos da curva estao no plano z = 0. Nao e necessario determinar a parametrization de C