Determine whether each statement is true or false. (a) If p denotes the equilibrium price, then the consumer surplus at any price higher than p must be less than or equal to the consumer surplus at price p. OTrue OFalse (b) If p denotes the equilibrium price, then the producer surplus at any price lower than p must be less than or equal to the producer surplus at price p. OTrue OFalse ( c) / F(x )g' ( x ) + f ( x ) g ( x ) dx = f ( x ) g ' ( * ) + C OTrue OFalse (d) The area of the region enclosed by f(x) = x and the x-axis between x = -2 and x = 2 is equal to xox OTrue OFalse (e ) IF ( x ) dx = 5 and /2 9( x ) dx = 2 then / ((x ) - 9( x ) ox = 0 OTrue OFalse (F) / (in( x )2 ax = (/ in(x) ax) ( / in(x) ax ) OTrue OFalse