Expression 4: "e" Superscript, "x" , Baseline left brace, "x" Subscript, 2 , Baseline less than "x" less than "x" Subscript, 1 , Baseline , right brace Has graph. To audio trace, press ALT+T.exx2<x<x1
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Expression 5: "y" equals 1 plus Start sum from "n" equals 1 to "a" , end sum, StartFraction, 1 Over "n" ! , EndFraction "x" Superscript, "n" , Baseline left brace, "x" Subscript, 2 , Baseline less than "x" less than "x" Subscript, 1 , Baseline , right brace Has graph. To audio trace, press ALT+T.y=1+a∑n=11n!xnx2<x<x1
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Expression 6: "y" equals StartFraction, StartNestedFraction, 2 NestedOver "t" , EndNestedFraction left parenthesis, "e" Superscript, StartNestedFraction, "t" NestedOver 2 , EndNestedFraction , Baseline minus "e" Superscript, negative StartNestedFraction, "t" NestedOver 2 , EndNestedFraction , Baseline , right parenthesis Over 2 , EndFraction plus Start sum from "n" equals 1 to "a" , end sum, left parenthesis, StartFraction, 2 Over "t" , EndFraction times left parenthesis, StartFraction, "e" Superscript, "x" Subscript, 1 , Baseline , Baseline left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" times sin left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 1 , Baseline , right parenthesis plus cos left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 1 , Baseline , right parenthesis , right parenthesis Over left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" , right parenthesis squared plus 1 , EndFraction minus StartFraction, "e" Superscript, "x" Subscript, 2 , Baseline , Baseline left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" times sin left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 2 , Baseline , right parenthesis plus cos left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 2 , Baseline , right parenthesis , right parenthesis Over left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" , right parenthesis squared plus 1 , EndFraction , right parenthesis times cos left parenthesis, StartFraction, 2 pi Over "t" , EndFraction "n" "x" , right parenthesis plus StartFraction, 2 Over "t" , EndFraction times left parenthesis, StartFraction, "e" Superscript, "x" Subscript, 1 , Baseline , Baseline left parenthesis, sin left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 1 , Baseline , right parenthesis minus StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" times cos left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 1 , Baseline , right parenthesis , right parenthesis Over left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" , right parenthesis squared plus 1 , EndFraction minus StartFraction, "e" Superscript, "x" Subscript, 2 , Baseline , Baseline left parenthesis, sin left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 2 , Baseline , right parenthesis minus StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" times cos left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" "x" Subscript, 2 , Baseline , right parenthesis , right parenthesis Over left parenthesis, StartNestedFraction, 2 pi NestedOver "t" , EndNestedFraction "n" , right parenthesis squared plus 1 , EndFraction , right parenthesis times sin left parenthesis, StartFraction, 2 pi Over "t" , EndFraction "x" "n" , right parenthesis , right parenthesis left brace, "x" Subscript, 2 , Baseline less than "x" less than "x" Subscript, 1 , Baseline , right brace Has graph. To audio trace, press ALT+T.y=2tet2−e−t22+a∑n=12t·ex12πtn·sin2πtnx1+cos2πtnx12πtn2+1−ex22πtn·sin2πtnx2+cos2πtnx22πtn2+1·cos2πtnx+2t·ex1sin2πtnx1−2πtn·cos2πtnx12πtn2+1−ex2sin2πtnx2−2πtn·cos2πtnx22πtn2+1·sin2πtxnx2<x<x1
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Expression 7: "x" Subscript, 1 , Baseline equals StartFraction, "t" Over 2 , EndFraction equals 1.4x1=t2
equals=
1.41.4
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Expression 8: "x" Subscript, 2 , Baseline equals negative StartFraction, "t" Over 2 , EndFraction equals negative 1.4x2=−t2
