Need help with practice problem

(b) Indicate whether each of the following statements is TRUE or FALSE. Simply circle your answers. You do not need to justify your answers. (i) Suppose F(x, y) is a vector eld that is continuous in two space. Also suppose that the curve C1 is given by r(t) = (cos(t),sin(t)) where 0 S 1' S 27: . TRUE or FALSE: If I F - dr 0 , then F(x, y) is not conservative in two space. C, TRUE FALSE (ii) Suppose F(x, y) = (P(x,y), Q(x,y)> is a vector eld with domain D, and suppose that P(x, y) and Q(x, y) have continuous first order partial derivatives. TRUE or FALSE: If 6P 6Q , then F(x, y) is conservative. 6y 6x TRUE FALSE (iii) Suppose that the curve C is a piecewise-smooth simple closed curve with positive orientation that bounds a simply connected region R in the xy-plane. TRUE or FALSE: If A is the area of the region R then (35x dy = A . C TRUE FALSE