Expression 3: "f" Subscript, "m" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over StartRoot, "N" , EndRoot , EndFraction Start sum from "n" equals 1 to "N" , end sum, sine left parenthesis, 2 pi left parenthesis, left parenthesis, 10 plus 10 times StartFraction, "n" Over "N" , EndFraction , right parenthesis "x" plus "r" left parenthesis, "n" , right parenthesis , right parenthesis , right parenthesisfmx=1NN∑n=1sin2π10+10·nNx+rn
3
Expression 4: "N" equals 1000N=1000
4
Expression 5: "f" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis equals negative 4 plus StartFraction, 1 Over StartRoot, "N" , EndRoot , EndFraction Start sum from "n" equals 1 to "N" , end sum, sine left parenthesis, 2 pi left parenthesis, 15 times "x" plus "r" left parenthesis, "n" plus .3 1 "t" plus 19.7floor left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesis , right parenthesisf0x=−4+1NN∑n=1sin2π15·x+rn+.31t+19.7floorx