a. Show that F is a conservative field by finding a funec b. Evaluate Jc Fdr where C is a curve that goes from (0,1,1) to (1,2,3) 3) Evaluate Se 4) Evaluate (y + sin(x c xsin(y)dx+-cos(x) dywhere C is the path along y=x?from (0,0) to (1,1). +sinGe3) dx+ (3x+ e )dy where C is the curve along the rectangle ds, where S is the surface z 4-x2-,z z 0,with upward 0 S x s 1, 0 sy 2 oriented counterclockwise. aluateJ Evaluate "Os orientation. 6) curl F , ds, where F =, x2 y2 6z2 1,z 2 0, oriented outward. and S is the upper half of the ellipsoid Evala ds, where S is the surface of cube with sides Ï = 0, x = 1, y = 0, y = 1,2 = 0, z = 1.