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please help! Determine whether each statement is true or false. (a ) If f( x ) dx = 8 then ( R( x ) dx

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Determine whether each statement is true or false. (a ) If f( x ) dx = 8 then ( R( x ) dx = - 8 . True False (b) If f(x) dx = 8 then the average value of f(x) on the interval [3,9] is 4/3. OTrue OFalse (c ) / In ( x ) dx = xin ( x ) - * + C OTrue OFalse (d ) IF ( R( x ) ax = 8 then (" R( x ) + 7 dx = 50. True OFalse 1 xn+1 + C for all n (e ) / xmax = ntext OTrue OFalse (f) 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

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