Use Green's Theorem to evaluate the line integral. 1 ( e- x 212 - y ) dx + ( e-x 212 + x) dy C: boundary of the region lying between the graphs of the circle x = 12 cos(0), y = 12 sin(0) and the ellipse x = 4 cos(0), y = 3 sin(@) Need Help? Read It Watch It /1 Points] DETAILS LARCALC12 15.4.032.MI. Use a line integral to find the area of the region R. R: region inside the loop of the folium of Descartes bounded by the graph of X = 7t 7+2 73 + 1 + 3 + 1 Need Help? Read It Master It /2 Points] DETAILS LARCALC12 15.4.043. (a) Evaluate y3 dx + (27x - x3) dy, where C, is the unit circle given by r(t) = cos(t)i + sin(t)j, 0 s t s 2n. (b) Find the maximum value of y3 dx + (27x - x3) dy, where C is any closed circle in the xy-plane, oriented counterclockwise. Need Help? Read It