Consider the vector field...F(x,y,z)....with a and b constant, and the curve... C....Find the values ??of a and b that make this a conservative field and indicate the potential. Then,calculate...... integral....Note that the extremes of the curve are in the z = 0 plane. It is not necessary to determine the parameterization of C. Obs.: any doubt all the data are in the image.

Exercicio 5. Considere o campo vetorial F(x, y, =) = (ary= + 2, x'= + bz, x y + y). com a e b constantes, e a curva C = {(x, y, =) ( R3 : = = \\4- x2 - y',a+ y= 2). Encontre os valores de a e b que tornam deste um campo conservative e indique o potencial. Em seguida, calcule JF. dr. Note que os extremos da curva estao no plano z = 0. Nao e necessario determinar a parametrizationde C