Expression 10: StartFraction, "d" Over "d" "x" , EndFraction left brace, 0 less than or equal to "x" less than or equal to "h" : StartFraction, "x" cubed "r" squared Over 3 "h" squared , EndFraction , right braceddx0≤x≤h:x3r23h2
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Expression 11: "G" left parenthesis, "x" , right parenthesis equals left brace, 0 less than or equal to "x" less than or equal to "h" : StartFraction, "x" cubed "r" squared Over 3 "h" squared , EndFraction , right braceGx=0≤x≤h:x3r23h2
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Expression 12: "v" Subscript, "o" "l" "u" "m" "e" , Baseline equals pi left parenthesis, "G" left parenthesis, "h" , right parenthesis minus "G" left parenthesis, 0 , right parenthesis , right parenthesisvolume=πGh−G0
equals=
317.1 5 1 4 5 2 2 4 4317.151452244
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Expression 13: "A" Subscript, "r" "c" "h" "i" "m" "e" "d" "e" "s" , Baseline equals StartFraction, pi times "h" times "r" squared Over 3 , EndFractionArchimedes=π·h·r23
equals=
317.1 5 1 4 5 2 2 4 4317.151452244
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Kegle (elipse og rette linjer)
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Expression 15: StartFraction, "y" squared Over "r" squared , EndFraction plus StartFraction, "S" Subscript, "F" , Baseline times left parenthesis, "x" minus "h" , right parenthesis squared Over "r" squared , EndFraction equals 1y2r2+SF·x−h2r2=1
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Expression 16: "y" squared plus StartFraction, "S" Subscript, "F" , Baseline times "r" squared left parenthesis, "x" minus "h" , right parenthesis squared Over "r" squared , EndFraction equals "r" squaredy2+SF·r2x−h2r2=r2
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Expression 17: 0 less than "y" less than or equal to StartRoot, "r" squared minus StartFraction, "S" Subscript, "F" , Baseline times "r" squared left parenthesis, "x" minus "h" , right parenthesis squared Over "r" squared , EndFraction , EndRoot0<y≤r2−SF·r2x−h2r2
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Expression 18: 0 greater than or equal to "y" greater than or equal to negative StartRoot, "r" squared minus StartFraction, "S" Subscript, "F" , Baseline times "r" squared left parenthesis, "x" minus "h" , right parenthesis squared Over "r" squared , EndFraction , EndRoot0≥y≥−r2−SF·r2x−h2r2
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Expression 19: "y" equals left brace, 0 less than or equal to "x" less than or equal to "h" : StartFraction, negative "r" "x" Over "h" , EndFraction , right bracey=0≤x≤h:−rxh
