Let c be the boundary of the region in the first quadrant bounded by the x-axis, a quarter-circle with radius 7, and the y-axis, oriented counterclockwise starting from the origin. label the edges of the boundary as c_1, c_2, c_3 starting from the bottom edge going counterclockwise. give each edge a constant speed parametrization with domain 0 lessthanorequalto t lessthanorequalto 1: edge c_1 x_1(t) = y_1(t) = edge c_2 x_2(t) = y_2(t) = edge c_3 x_3(t) = y_3 = integral_c y^2xdx + x^2ydy = integral_c1 y^2xdx + x^2ydy + integral_c2 y^2xdx + x^2ydy + integral_c3 y^2xdx + x^2ydy 10pt = applying green's theorem, integral_c y^2 xdx + x^2 ydy = dxdy the vector field f = y^2x i + x^2y j is: