+ 3y) Ä° + (2+ 3xjj + (y + 4x) k. (1 pt) Consider the vector field F (x, y, z) (42 a) Find a function f such that F Vf and f (0,0,0)0 f(x,y, 2)- b) Suppose C is any curve from (0,0,0) to (1,11). Use part a) to compute the line integral F dr.
(1 pt) Let C be the positively oriented circle2 +1. Use Green's Theorem to evaluate the line integral Je Sy da+18a dy.
Show transcribed image text+ 3y) Ä° + (2+ 3xjj + (y + 4x) k. (1 pt) Consider the vector field F (x, y, z) (42 a) Find a function f such that F Vf and f (0,0,0)0 f(x,y, 2)- b) Suppose C is any curve from (0,0,0) to (1,11). Use part a) to compute the line integral F dr. (1 pt) Let C be the positively oriented circle2 +1. Use Green's Theorem to evaluate the line integral Je Sy da+18a dy.
