Let f (3x - 4y +22)i+(4x +2y 3z2)j + (2xz moving once around an 4y zk be a vector field. consider a particle ellipse c given by parametrization r= 4 cos ti +3 sin tj. find the work done. 3 3 = 3, y=-- and 2 1 2. let d be the region in the first quadrant bounded by the lines y=-r1, y 4 + 1. use the transformation u 3 2y, v r + 4y to evaluate the integral y= (3x2 +14ry +82) dax dy a field f p(a, y)i + q(x, y)j in the ry-plane such that at each point (r, y) (0,0), f is a unit vector pointing to the origin. 3. find #2 da +2y dy+2xz dz does not depend 4. show that the value of on the path taken from a to b ja 5. what can be said about the curl of a conservative two-dimensional vector field? explain as best you can i+ (e + tan over the cardioid a + a cos 0, 6. find the outward flux of the field f 3ry = 1 + 1/2 a > 0 7.