Expression 21: "g" left parenthesis, "x" , right parenthesis less than or equal to "y" less than or equal to "f" left parenthesis, "x" , right parenthesis Has graph. To audio trace, press ALT+T.gx≤y≤fx
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Expression 22:
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Support
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Expression 24: "y" equals "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis left brace, "x" plus "y" less than 2 , right brace Has graph. To audio trace, press ALT+T.y=f1xx+y<2
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Expression 25: "y" left parenthesis, "y" minus "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis less than 0 left brace, "y" less than negative 1 half , right brace Has graph.yy−f1x<0y<−12
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Expression 26: "y" equals "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis left brace, "y" minus "x" less than 2 , right brace Has graph. To audio trace, press ALT+T.y=g1xy−x<2
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Expression 27: "y" left parenthesis, "y" minus "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis less than 0 left brace, "y" less than negative 1 , right brace Has graph.yy−g1x<0y<−1
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Expression 28: left parenthesis, "y" minus "F" left parenthesis, "x" , right parenthesis , right parenthesis left parenthesis, "y" minus "G" left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to 0 Has graph. To audio trace, press ALT+T.y−Fxy−Gx≤0
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Expression 29:
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Wave, functions and shapes
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Expression 31: "H" left parenthesis, "x" , right parenthesis equals StartFraction, negative sin left parenthesis, "k" Subscript, 2 , Baseline "x" , right parenthesis Over 2 pi "x" , EndFractionHx=−sink2x2πx
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Expression 32: "h" left parenthesis, "x" , right parenthesis equals negative StartFraction, "k" Subscript, 2 , Baseline cos left parenthesis, "k" Subscript, 2 , Baseline "x" , right parenthesis "x" minus sin left parenthesis, "k" Subscript, 2 , Baseline "x" , right parenthesis Over 2 pi "x" squared , EndFractionhx=−k2cosk2xx−sink2x2πx2
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Expression 33: "h" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals negative StartFraction, left parenthesis, negative "k" squared sin left parenthesis, "k" Subscript, 2 , Baseline "x" , right parenthesis "x" , right parenthesis "x" minus 2 left parenthesis, "k" Subscript, 2 , Baseline cos left parenthesis, "k" Subscript, 2 , Baseline "x" , right parenthesis "x" minus sin left parenthesis, "k" Subscript, 2 , Baseline "x" , right parenthesis , right parenthesis Over 2 pi "x" cubed , EndFractionh1x=−−k22sink2xxx−2k2cosk2xx−sink2x2πx3
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Expression 34: "y" left parenthesis, "y" minus "h" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to 0 Has graph. To audio trace, press ALT+T.yy−h1x≤0
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Expression 35: "y" left parenthesis, "y" minus "h" left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to 0yy−hx≤0
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Expression 36: "y" left parenthesis, "y" minus "H" left parenthesis, "x" , right parenthesis , right parenthesis less than or equal to 0yy−Hx≤0
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Expression 37:
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Decorations - not related to derivative and integral
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Expression 39: "y" equals negative hyperbolic cosine left parenthesis, 0.7 "x" , right parenthesis plus 10 left brace, "y" greater than 0 , right bracey=−cosh0.7x+10y>0
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Expression 40: 0.2 left parenthesis, cos left parenthesis, "t" , right parenthesis , sin left parenthesis, "t" , right parenthesis , right parenthesis left parenthesis, sin left parenthesis, 5 "t" , right parenthesis plus 1.5 , right parenthesis plus left parenthesis, 0 , 8 , right parenthesis0.2cost,sintsin5t+1.5+0,8
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 pi2π
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Expression 41: "w" left parenthesis, "x" , "y" , right parenthesis equals "x" squared plus "y" squared minus "e" Superscript, 0.4 "x" plus sin left parenthesis, 5 "y" minus "x" , right parenthesis , Baselinewx,y=x2+y2−e0.4x+sin5y−x
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Expression 42: "w" left parenthesis, StartAbsoluteValue, "x" , EndAbsoluteValue minus 5 , "y" minus 6 plus 0.1sin left parenthesis, 2 pi "a" , right parenthesis , right parenthesis equals 0wx−5,y−6+0.1sin2πa=0