Expression 4: "a" left parenthesis, "x" , "n" , right parenthesis equals StartFraction, left parenthesis, negative 1 , right parenthesis Superscript, left parenthesis, "n" plus 1 , right parenthesis , Baseline Over "n" pi , EndFractionax,n=−1n+1nπ
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Expression 5: "b" left parenthesis, "x" , "n" , right parenthesis equals StartFraction, 1 minus left parenthesis, negative 1 , right parenthesis Superscript, left parenthesis, "n" , right parenthesis , Baseline Over "n" squared pi squared , EndFractionbx,n=1−−1nn2π2
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Expression 6: "a" left parenthesis, "x" , "z" , right parenthesis sine left parenthesis, "z" pi "x" , right parenthesisax,zsinzπx
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Expression 7: "b" left parenthesis, "x" , "z" , right parenthesis cosine left parenthesis, "z" pi "x" , right parenthesisbx,zcoszπx
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Expression 8: 3 quarters plus Start sum from "n" equals 1 to "N" , end sum, left parenthesis, "a" left parenthesis, "x" , "n" , right parenthesis sin left parenthesis, "n" pi "x" , right parenthesis plus "b" left parenthesis, "x" , "n" , right parenthesis cos left parenthesis, "n" pi "x" , right parenthesis , right parenthesis34+N∑n=1ax,nsinnπx+bx,ncosnπx