M 427L Quiz: QUIZ VECTOR Note Nov 7, 2019

5. Vector calculus finally! Vector field, potential function, path integral, curl and divergence f x, y, z sin x, sin. y, z note that V the gradient operator viewed as a vector a. V f b. V x f e. Given a e ment from (1, 2) to (4, 7) as the path C, write out its parametric form rot for path C f. Compute ea ds g. Given a vector fieldf x, y x y, y Suppose an object moves from (-1, 1) to (-1, nr) in along the path P y x2 write out its parametric form rot for path h. Compute f