A) Use the component test to check that F is conservative.B) Find a potential function f for F, and compute the integral F.Tds between (1,1,1) and (0,0,0).

Math 202 Midterm Summer 2017 2. (18 points) Let F be the vector field F = (x + 1)et cos(y)i - (are sin(y) + 2y)j + 2zk. (a) Use the component test to check that F is conservative. F = Mi + ; + PK = ( x +1)ex cos ly)cy- (xe*( sinly)+? + 2 My =(xthexcialy ) xx = - exll+x ) sincy)