Pregunta: 2. For the vector field G(x, y) = (y²cos(xy²), 2xycos(xy²) + 1/(1+y²) = (P(x, y), Q(x, y)) = (i) Determine if G is conservative. (ii) If it is, find its potential. (iii) Calculate Integral C P dx + Q dy where C is a curve that starts at the origin and goes through the arc of parabola y=x² to (2, 4) and then goes through a segment a (pi/2, 1/sqrt(3)). 2.

2. For the vector field G(x, y) = (y²cos(xy²), 2xycos(xy²) + 1/(1+y²) = (P(x, y), Q(x, y)) = (i) Determine if G is conservative. (ii) If it is, find its potential. (iii) Calculate Integral C P dx + Q dy where C is a curve that starts at the origin and goes through the arc of parabola y=x² to (2, 4) and then goes through a segment a (pi/2, 1/sqrt(3)). 2. Para el campo vectorial 1 G(x, y) = (y²cos(xy²), 2xycos(xy²) + 1+ y2) = (P(x, y), Q(x, y)) (i) Determine si G es conservativo. (ii) Si lo es, encuentre su potencial. (iii) Calcule [P dr. P dx + Q dy donde C es una curva que empieza en el origen y va por el arco de parábola y = x² hasta (2, 4) y luego va por un segmento a (,).